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Indefinite causal order for parameter estimation of channel with depolarization noise
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-01-28 DOI: 10.1016/j.physleta.2024.130163
Yongxi Yuan
When incorporating the indefinite causal order method into quantum channel parameter estimation, the target parameter information of the channel can be encoded into the control qubit, and the ultimate precision upper limit can be assessed using quantum Fisher information. In this study, we examine the characteristics of a switched channel in which a single path contains multiple copies of a qubit unitary channel affected by depolarization noise. Our focus lies on the superposition coupling term generated by the switched channel, as it plays a crucial role in determining the quantum Fisher information for parameter estimation. In addition, we classify and discuss the case where a single path contains three copies. Given that the quantum Fisher information is determined by the coupling terms, we rigorously compute the values of these coupling terms in all scenarios. Subsequently, we analyze the characteristics of the quantum Fisher information and compare them with those arising from two copies of a single path.
{"title":"Indefinite causal order for parameter estimation of channel with depolarization noise","authors":"Yongxi Yuan","doi":"10.1016/j.physleta.2024.130163","DOIUrl":"10.1016/j.physleta.2024.130163","url":null,"abstract":"<div><div>When incorporating the indefinite causal order method into quantum channel parameter estimation, the target parameter information of the channel can be encoded into the control qubit, and the ultimate precision upper limit can be assessed using quantum Fisher information. In this study, we examine the characteristics of a switched channel in which a single path contains multiple copies of a qubit unitary channel affected by depolarization noise. Our focus lies on the superposition coupling term generated by the switched channel, as it plays a crucial role in determining the quantum Fisher information for parameter estimation. In addition, we classify and discuss the case where a single path contains three copies. Given that the quantum Fisher information is determined by the coupling terms, we rigorously compute the values of these coupling terms in all scenarios. Subsequently, we analyze the characteristics of the quantum Fisher information and compare them with those arising from two copies of a single path.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"531 ","pages":"Article 130163"},"PeriodicalIF":2.3,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143149236","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonlinear wave dynamics under the presence of a strong horizontal electric field and a bathymetry
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-01-28 DOI: 10.1016/j.physleta.2024.130166
M.V. Flamarion , E. Kochurin , R. Ribeiro-Jr , N. Zubarev
In this letter, we explore free-surface flow of an ideal dielectric liquid subjected to a strong tangential electric field in the presence of variable bottom topographies. Analytically, we demonstrate that nonlinear waves of arbitrary shape can propagate at a critical speed without distortion, provided they are in resonance with a moving localized obstacle at the bottom. Numerical solutions of the full model for various obstacle types yield two key results: (i) For localized obstacles, a wave forms above the obstacle, then splits into symmetric waves traveling in opposite directions at the same speed and a stationary disturbance formed due to electric field inhomogeneities. (ii) Periodic spatial bathymetries induce periodic motion in both space and time. Additionally, considering traveling solitary waves, we show that a small dispersive tail arises when they interact with the bathymetry.
{"title":"Nonlinear wave dynamics under the presence of a strong horizontal electric field and a bathymetry","authors":"M.V. Flamarion ,&nbsp;E. Kochurin ,&nbsp;R. Ribeiro-Jr ,&nbsp;N. Zubarev","doi":"10.1016/j.physleta.2024.130166","DOIUrl":"10.1016/j.physleta.2024.130166","url":null,"abstract":"<div><div>In this letter, we explore free-surface flow of an ideal dielectric liquid subjected to a strong tangential electric field in the presence of variable bottom topographies. Analytically, we demonstrate that nonlinear waves of arbitrary shape can propagate at a critical speed without distortion, provided they are in resonance with a moving localized obstacle at the bottom. Numerical solutions of the full model for various obstacle types yield two key results: (i) For localized obstacles, a wave forms above the obstacle, then splits into symmetric waves traveling in opposite directions at the same speed and a stationary disturbance formed due to electric field inhomogeneities. (ii) Periodic spatial bathymetries induce periodic motion in both space and time. Additionally, considering traveling solitary waves, we show that a small dispersive tail arises when they interact with the bathymetry.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"531 ","pages":"Article 130166"},"PeriodicalIF":2.3,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143149242","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Searching for the sizable atomic-scale magnetism: A comparative study of boron/hydrogen chemisorbed on topological defects in graphene
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-01-28 DOI: 10.1016/j.physleta.2024.130176
Shuai Zhang , Bin Cui , Chunyao Niu , Fei Wang , Chong Li , Yu Jia
Recent experiments have identified that both boron (B) and hydrogen (H) atoms might induce atomic-scale magnetism on graphene. Using the first-principles calculations and analyses, we show that B adatom chemisorbed on 48-type topological defects in graphene not only enhances the adsorption energy dramatically, but also significantly induces a sizable atomic-scale spin moment 1.08 μB. The underlying mechanism can be attributed to the abundant charge transfer of B adatom and local bonding environment (B/tetragonal ring), facilitating to form B-C covalent bonds. However, such spin polarization does not happen on 558-type defects. In sharp contrast, H adatom can not induce sizable atomic-scale magnetism on either 48- or 558-type defect. We further identity that the moderate kinetic barrier of B adatom along 48-type line defect makes it highly possible to achieve stable antiferromagnetic spin chain. Our findings might provide another feasible host material to realize stable and sizable atomic-scale magnetism of B adatom.
{"title":"Searching for the sizable atomic-scale magnetism: A comparative study of boron/hydrogen chemisorbed on topological defects in graphene","authors":"Shuai Zhang ,&nbsp;Bin Cui ,&nbsp;Chunyao Niu ,&nbsp;Fei Wang ,&nbsp;Chong Li ,&nbsp;Yu Jia","doi":"10.1016/j.physleta.2024.130176","DOIUrl":"10.1016/j.physleta.2024.130176","url":null,"abstract":"<div><div>Recent experiments have identified that both boron (B) and hydrogen (H) atoms might induce atomic-scale magnetism on graphene. Using the first-principles calculations and analyses, we show that B adatom chemisorbed on 48-type topological defects in graphene not only enhances the adsorption energy dramatically, but also significantly induces a sizable atomic-scale spin moment 1.08 μ<sub>B</sub>. The underlying mechanism can be attributed to the abundant charge transfer of B adatom and local bonding environment (B/tetragonal ring), facilitating to form B-C covalent bonds. However, such spin polarization does not happen on 558-type defects. In sharp contrast, H adatom can not induce sizable atomic-scale magnetism on either 48- or 558-type defect. We further identity that the moderate kinetic barrier of B adatom along 48-type line defect makes it highly possible to achieve stable antiferromagnetic spin chain. Our findings might provide another feasible host material to realize stable and sizable atomic-scale magnetism of B adatom.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"531 ","pages":"Article 130176"},"PeriodicalIF":2.3,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143149270","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Effects of external parameters on the nonlinear optical absorption of GaAs/Ga0.7Al0.3As quantum dots: Insights from like-modified Kratzer plus Coulomb potential
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-01-28 DOI: 10.1016/j.physleta.2024.130172
Yawen Cai, Xuechao Li, Xiaolong Yan, Xing Wang
The investigation focuses on the inter-subband nonlinear optical properties of a spherical quantum dot system using the like-modified Kratzer plus Coulomb potential as the research model. By employing density matrix theory and the Nikiforov-Uvarov method, a detailed study is conducted on the linear, third-order nonlinearity, and total optical absorption coefficients. Observations show that the controllable effective mass, the quantum size parameter and the confining potential parameter all affect the optical absorption coefficient to a greater or lesser extent. Of particular importance is the fact that these factors have a significant modulating effect on the magnitude of the peak of the optical absorption coefficient and the position of its resonance peak.
{"title":"Effects of external parameters on the nonlinear optical absorption of GaAs/Ga0.7Al0.3As quantum dots: Insights from like-modified Kratzer plus Coulomb potential","authors":"Yawen Cai,&nbsp;Xuechao Li,&nbsp;Xiaolong Yan,&nbsp;Xing Wang","doi":"10.1016/j.physleta.2024.130172","DOIUrl":"10.1016/j.physleta.2024.130172","url":null,"abstract":"<div><div>The investigation focuses on the inter-subband nonlinear optical properties of a spherical quantum dot system using the like-modified Kratzer plus Coulomb potential as the research model. By employing density matrix theory and the Nikiforov-Uvarov method, a detailed study is conducted on the linear, third-order nonlinearity, and total optical absorption coefficients. Observations show that the controllable effective mass, the quantum size parameter and the confining potential parameter all affect the optical absorption coefficient to a greater or lesser extent. Of particular importance is the fact that these factors have a significant modulating effect on the magnitude of the peak of the optical absorption coefficient and the position of its resonance peak.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"531 ","pages":"Article 130172"},"PeriodicalIF":2.3,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143149271","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Influence of strong dot-lead couplings on the Majorana leakage effect
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-01-28 DOI: 10.1016/j.physleta.2024.130149
Cong Wang , Zong-Gang Xu , Xiao Qi Wang
By means of the scattering matrix and non-equilibrium Green function technique, the influence of dot-lead coupling on the Majorana leakage effect is theoretically studied. By calculating the conductance spectra and the local density of states, we find the conductance peaks coincide with the eigenlevels of the Majorana-dot hybrid system when the dot-lead coupling is relatively weak. With the increase of the dot-lead coupling, the Majorana leakage effect is manifested as the formation of one wide conductance peak at the zero-bias limit, whose widening is inversely proportional to the dot-lead coupling strength. When the left-right asymmetry is enhanced by strengthening the dot-lead coupling, the Majorana leakage effect shows the improvement of the zero-bias conductance peak. In the presence of superconducting proximity effect, the Majorana leakage effect is further modified in the case of left-right asymmetry of the dot-lead coupling. We believe that these results are helpful in further understanding the transport properties of the Majorana-dot hybrid systems.
{"title":"Influence of strong dot-lead couplings on the Majorana leakage effect","authors":"Cong Wang ,&nbsp;Zong-Gang Xu ,&nbsp;Xiao Qi Wang","doi":"10.1016/j.physleta.2024.130149","DOIUrl":"10.1016/j.physleta.2024.130149","url":null,"abstract":"<div><div>By means of the scattering matrix and non-equilibrium Green function technique, the influence of dot-lead coupling on the Majorana leakage effect is theoretically studied. By calculating the conductance spectra and the local density of states, we find the conductance peaks coincide with the eigenlevels of the Majorana-dot hybrid system when the dot-lead coupling is relatively weak. With the increase of the dot-lead coupling, the Majorana leakage effect is manifested as the formation of one wide conductance peak at the zero-bias limit, whose widening is inversely proportional to the dot-lead coupling strength. When the left-right asymmetry is enhanced by strengthening the dot-lead coupling, the Majorana leakage effect shows the improvement of the zero-bias conductance peak. In the presence of superconducting proximity effect, the Majorana leakage effect is further modified in the case of left-right asymmetry of the dot-lead coupling. We believe that these results are helpful in further understanding the transport properties of the Majorana-dot hybrid systems.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"531 ","pages":"Article 130149"},"PeriodicalIF":2.3,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143149229","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Sensitivity analysis and dynamics of optical dromions in conformable generalized nonlinear Schrödinger systems
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-01-28 DOI: 10.1016/j.physleta.2024.130168
Shafqat Ur Rehman , Muhammad Bilal , Jingli Ren , Mustafa Bayram , Mustafa Inc
In this research, we explore the intricate dynamics of soliton solutions within optical communication systems, a domain critical for modern telecommunications. Employing an innovative new extended direct algebraic approach, we unveil a fresh set of optical solitons and other solutions tailored to govern (2+1)-dimensional nonlinear dynamically adaptive fractional generalized Schrödinger systems. These systems form the foundational framework for understanding the propagation of solitary waves in the complex form of optical communication networks. Our investigation yields a diverse spectrum of optical soliton solutions, ranging from the classic dark and bright solitons to more complex forms such as dark-bright combinations, periodic structures, and singular wave solutions. These solutions, characterized by hyperbolic and trigonometric functions, represent various physical phenomena that manifest in optical fibers under different conditions. To ensure the validity and accuracy of our results, we rigorously verify our derived solutions using mathematical tools, particularly leveraging the capabilities of Mathematica. This validation process underscores the robustness and reliability of our findings, instilling confidence in their applicability to real-world optical systems. To provide a comprehensive understanding of the physical properties of these soliton solutions, we employ visual representations such as 2D and 3D plots, contour maps, and density graphs. These graphical depictions offer insights into the behavior, stability, and propagation characteristics of the solitons, enriching our comprehension of nonlinear dynamics in optical communication systems. Moreover, the sensitivity analysis of the problem is also analyzed. Ultimately, our study not only advances the theoretical understanding of soliton dynamics but also lays the groundwork for practical applications in the design and optimization of optical communication networks. By elucidating various soliton phenomena encountered in mathematical physics and engineering, our research opens new avenues for exploration and innovation in this critical field.
{"title":"Sensitivity analysis and dynamics of optical dromions in conformable generalized nonlinear Schrödinger systems","authors":"Shafqat Ur Rehman ,&nbsp;Muhammad Bilal ,&nbsp;Jingli Ren ,&nbsp;Mustafa Bayram ,&nbsp;Mustafa Inc","doi":"10.1016/j.physleta.2024.130168","DOIUrl":"10.1016/j.physleta.2024.130168","url":null,"abstract":"<div><div>In this research, we explore the intricate dynamics of soliton solutions within optical communication systems, a domain critical for modern telecommunications. Employing an innovative new extended direct algebraic approach, we unveil a fresh set of optical solitons and other solutions tailored to govern (2+1)-dimensional nonlinear dynamically adaptive fractional generalized Schrödinger systems. These systems form the foundational framework for understanding the propagation of solitary waves in the complex form of optical communication networks. Our investigation yields a diverse spectrum of optical soliton solutions, ranging from the classic dark and bright solitons to more complex forms such as dark-bright combinations, periodic structures, and singular wave solutions. These solutions, characterized by hyperbolic and trigonometric functions, represent various physical phenomena that manifest in optical fibers under different conditions. To ensure the validity and accuracy of our results, we rigorously verify our derived solutions using mathematical tools, particularly leveraging the capabilities of Mathematica. This validation process underscores the robustness and reliability of our findings, instilling confidence in their applicability to real-world optical systems. To provide a comprehensive understanding of the physical properties of these soliton solutions, we employ visual representations such as 2D and 3D plots, contour maps, and density graphs. These graphical depictions offer insights into the behavior, stability, and propagation characteristics of the solitons, enriching our comprehension of nonlinear dynamics in optical communication systems. Moreover, the sensitivity analysis of the problem is also analyzed. Ultimately, our study not only advances the theoretical understanding of soliton dynamics but also lays the groundwork for practical applications in the design and optimization of optical communication networks. By elucidating various soliton phenomena encountered in mathematical physics and engineering, our research opens new avenues for exploration and innovation in this critical field.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"531 ","pages":"Article 130168"},"PeriodicalIF":2.3,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143149632","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Robust dynamics of rogue waves, breathers and mixed bound state solutions in spin-orbit and Rabi coupled condensates
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-01-28 DOI: 10.1016/j.physleta.2024.130169
P.S. Vinayagam , R. Radha
In this paper, based on an integrable model governed by four system parameters, namely, spin-orbit coupling and Rabi coupling which are constants while the other two parameters, namely the harmonic trap and scattering lengths which are time dependent, we investigate the spin orbit-Rabi coupled condensates governed by the two coupled Gross-Pitaevskii(GP) equation. Employing Darboux transformation approach with nontrivial seed solution, we generate rogue waves, breathers, mixed rogue-dark-bright and classical dark-bright solitons. While the addition of spin orbit coupling contributes to rapid oscillations in the amplitude of the rogue waves, Rabi coupling results in the appearance of stripes in the temporal direction. When the transient trap is switched on, these stripes which remain stable within the confining region, begin to overlap exponentially in the expulsive domain and eventually shrink leading to instability. We have shown that the instability arising in the rogue waves in a transient trap can be completely overcome by manipulating the scattering length through Feshbach resonance. In the case of breathers, the Rabi coupling introduces temporal stripes with single and double mode peaks around the origin while under the influence of the transient trap, the breathers get compressed and tilted. On the other hand, the amplitude of breathers which stays constant between a maxima and minima despite oscillating with time undergoes rapid fluctuations in a given spatial domain under the influence of SOC. In the case of classical dark-bright solitons, we see the flipping of dark solitons to attain positive density much similar to bright solitons under the impact of Rabi coupling. One also witnesses a 45 shift in the trajectory of dark and bright solitons when the transient trap is switched on. The width of the solitons widen in the confining trap while they shrink in the expulsive domain.
{"title":"Robust dynamics of rogue waves, breathers and mixed bound state solutions in spin-orbit and Rabi coupled condensates","authors":"P.S. Vinayagam ,&nbsp;R. Radha","doi":"10.1016/j.physleta.2024.130169","DOIUrl":"10.1016/j.physleta.2024.130169","url":null,"abstract":"<div><div>In this paper, based on an integrable model governed by four system parameters, namely, spin-orbit coupling and Rabi coupling which are constants while the other two parameters, namely the harmonic trap and scattering lengths which are time dependent, we investigate the spin orbit-Rabi coupled condensates governed by the two coupled Gross-Pitaevskii(GP) equation. Employing Darboux transformation approach with nontrivial seed solution, we generate rogue waves, breathers, mixed rogue-dark-bright and classical dark-bright solitons. While the addition of spin orbit coupling contributes to rapid oscillations in the amplitude of the rogue waves, Rabi coupling results in the appearance of stripes in the temporal direction. When the transient trap is switched on, these stripes which remain stable within the confining region, begin to overlap exponentially in the expulsive domain and eventually shrink leading to instability. We have shown that the instability arising in the rogue waves in a transient trap can be completely overcome by manipulating the scattering length through Feshbach resonance. In the case of breathers, the Rabi coupling introduces temporal stripes with single and double mode peaks around the origin while under the influence of the transient trap, the breathers get compressed and tilted. On the other hand, the amplitude of breathers which stays constant between a maxima and minima despite oscillating with time undergoes rapid fluctuations in a given spatial domain under the influence of SOC. In the case of classical dark-bright solitons, we see the flipping of dark solitons to attain positive density much similar to bright solitons under the impact of Rabi coupling. One also witnesses a <span><math><msup><mrow><mn>45</mn></mrow><mrow><mo>∘</mo></mrow></msup></math></span> shift in the trajectory of dark and bright solitons when the transient trap is switched on. The width of the solitons widen in the confining trap while they shrink in the expulsive domain.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"531 ","pages":"Article 130169"},"PeriodicalIF":2.3,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143150259","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
HHL algorithm without ancilla postselection for Toeplitz and Hankel systems
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-01-28 DOI: 10.1016/j.physleta.2024.130154
Yong-Le Li , Bo Peng , Yu-Han Wang , Zhi-Chao Zhang , Yu-Kun Wang
Recently, Babukhin [D. V. Babukhin, Phys. Rev. A, 107. 042408(2023)] present the Harrow-Hassidim-Lloyd (HHL) algorithm without ancilla postselection which can work without postselection of the ancilla qubit. However, the remaining questions are to find more useful problems, which satisfy the postselection free condition. In this paper, we first prove that the symmetric Toeplitz matrices and their corresponding observable satisfy the postselection free condition. Then we show that the persymmetric Hankel matrix and the selected observable also satisfy this condition. Furthermore, we provide a specific example of a Toeplitz matrix (which is also a Hankel matrix) and a given observable. Finally, we compare the expectation values of the observable under the two different outcomes of the auxiliary qubit measurements with classical results and find excellent consistency. These results can significantly extend the application scope of postselection free HHL algorithm.
{"title":"HHL algorithm without ancilla postselection for Toeplitz and Hankel systems","authors":"Yong-Le Li ,&nbsp;Bo Peng ,&nbsp;Yu-Han Wang ,&nbsp;Zhi-Chao Zhang ,&nbsp;Yu-Kun Wang","doi":"10.1016/j.physleta.2024.130154","DOIUrl":"10.1016/j.physleta.2024.130154","url":null,"abstract":"<div><div>Recently, Babukhin [D. V. Babukhin, Phys. Rev. A, 107. 042408(2023)] present the Harrow-Hassidim-Lloyd (HHL) algorithm without ancilla postselection which can work without postselection of the ancilla qubit. However, the remaining questions are to find more useful problems, which satisfy the postselection free condition. In this paper, we first prove that the symmetric Toeplitz matrices and their corresponding observable satisfy the postselection free condition. Then we show that the persymmetric Hankel matrix and the selected observable also satisfy this condition. Furthermore, we provide a specific example of a Toeplitz matrix (which is also a Hankel matrix) and a given observable. Finally, we compare the expectation values of the observable under the two different outcomes of the auxiliary qubit measurements with classical results and find excellent consistency. These results can significantly extend the application scope of postselection free HHL algorithm.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"531 ","pages":"Article 130154"},"PeriodicalIF":2.3,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143149232","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A broadband zero-frequency seismic metamaterial based on negative effective mass density
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-01-28 DOI: 10.1016/j.physleta.2024.130151
Zhiheng Wang , Yawen Shen , Jingmei Tan , Hongwu Yang , Pai Peng , Fengming Liu , Qiujiao Du
This study introduces the application of negative effective mass theory to design seismic metamaterials (SMs) featuring zero-frequency band gaps, targeting ultra-low frequency seismic surface waves (0–5 Hz). Investigating buried cylindrical SM unveils a zero-frequency band gap and its effective mass-spring model indicates a negative effective mass below the cutoff frequency. Based on the theoretical model, the optimized square cavity SMs achieve an impressive 267% wider zero-frequency band gap (0–4.29 Hz). For practical engineering, the equivalent attenuation effects of bedrock and fixed boundary conditions on the seismic surface waves are analyzed at ultra-low frequencies.
{"title":"A broadband zero-frequency seismic metamaterial based on negative effective mass density","authors":"Zhiheng Wang ,&nbsp;Yawen Shen ,&nbsp;Jingmei Tan ,&nbsp;Hongwu Yang ,&nbsp;Pai Peng ,&nbsp;Fengming Liu ,&nbsp;Qiujiao Du","doi":"10.1016/j.physleta.2024.130151","DOIUrl":"10.1016/j.physleta.2024.130151","url":null,"abstract":"<div><div>This study introduces the application of negative effective mass theory to design seismic metamaterials (SMs) featuring zero-frequency band gaps, targeting ultra-low frequency seismic surface waves (0–5 Hz). Investigating buried cylindrical SM unveils a zero-frequency band gap and its effective mass-spring model indicates a negative effective mass below the cutoff frequency. Based on the theoretical model, the optimized square cavity SMs achieve an impressive 267% wider zero-frequency band gap (0–4.29 Hz). For practical engineering, the equivalent attenuation effects of bedrock and fixed boundary conditions on the seismic surface waves are analyzed at ultra-low frequencies.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"531 ","pages":"Article 130151"},"PeriodicalIF":2.3,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143149240","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A simple model for longitudinal electron transport during and after laser excitation: Emergence of electron resistive transport
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-01-28 DOI: 10.1016/j.physleta.2024.130153
Robert Meadows , Y. Xue , Nicholas Allbritton , G.P. Zhang
Laser-driven electron transport across a sample has garnered enormous attentions over several decades, as it provides a much faster way to control electron dynamics. Light is an electromagnetic wave, so how and why an electron can acquire a longitudinal velocity remains unanswered. Here we show that it is the magnetic field that steers the electron to the light propagation direction. But, quantitatively, our free-electron model is still unable to reproduce the experimental velocities. Going beyond the free electron mode and assuming the system absorbs all the photon energy, the theoretical velocity matches the experimental observation. We introduce a concept of the resistive transport, where electrons deaccelerate under a constant resistance after laser excitation. This theory finally explains why the experimental distance-versus-time forms a down-concave curve, and unifies ballistic and superdiffusive transports into a single resistive transport. We expect that our finding will motivate further investigations.
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Physics Letters A
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