Pub Date : 2024-11-08DOI: 10.1016/j.physleta.2024.130045
Yushuang Weng , Zhaotao Long , Keyin Li , Dongxu Zhao , Zhen Che , Zhishen Zhang , Yongyao Li
Stark anti-crossing (SAC) serves as a new approach to switch the Kerr birefringence effect of the off-centered core-shell square nanowires (OSN). The intensity of SAC induced by an electric field is inversely correlated with the degree of the core displacement from the center. To the best of our knowledge, it is the first demonstration that SAC is equipped with efficacy in suppressing Kerr birefringence of OSN by intensifying energy degeneracy and mitigating the parity symmetry distortion of wavefunction due to core displacement. Such a novel mechanism lies in the formation of two quasi-degenerate energy levels with nearly identical energies but opposite parity wavefunctions. It demonstrates a transform from polarization-dependent to -independent response of refractive index changes at mid-infrared wavelengths longer than 10 µm.
斯塔克反交叉（SAC）是切换偏心核壳方形纳米线（OSN）的克尔双折射效应的一种新方法。电场诱导的 SAC 强度与磁芯偏离中心的程度成反比。据我们所知，这是首次证明 SAC 具有抑制 OSN 的克尔双折射的功效，它通过加强能量变性和减轻由于磁芯位移引起的波函数奇偶对称性失真来实现。这种新机制在于形成两个能量几乎相同但奇偶性波函数相反的准退化能级。在波长超过 10 微米的中红外波段，它展示了折射率变化从依赖偏振到不依赖偏振的转变。
{"title":"Kerr birefringent switching mechanism in core-shell nanowires transformed by stark anti-crossing","authors":"Yushuang Weng , Zhaotao Long , Keyin Li , Dongxu Zhao , Zhen Che , Zhishen Zhang , Yongyao Li","doi":"10.1016/j.physleta.2024.130045","DOIUrl":"10.1016/j.physleta.2024.130045","url":null,"abstract":"<div><div>Stark anti-crossing (SAC) serves as a new approach to switch the Kerr birefringence effect of the off-centered core-shell square nanowires (OSN). The intensity of SAC induced by an electric field is inversely correlated with the degree of the core displacement from the center. To the best of our knowledge, it is the first demonstration that SAC is equipped with efficacy in suppressing Kerr birefringence of OSN by intensifying energy degeneracy and mitigating the parity symmetry distortion of wavefunction due to core displacement. Such a novel mechanism lies in the formation of two quasi-degenerate energy levels with nearly identical energies but opposite parity wavefunctions. It demonstrates a transform from polarization-dependent to -independent response of refractive index changes at mid-infrared wavelengths longer than 10 µm.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"528 ","pages":"Article 130045"},"PeriodicalIF":2.3,"publicationDate":"2024-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142651207","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}
Pub Date : 2024-11-07DOI: 10.1016/j.physleta.2024.130027
Md. Ferdous Rahman , Md. Hafizur Rahman , Tanvir Al Galib , Ahsan Habib , Ahmad Irfan
Inorganic fluoroperovskite materials are increasingly important in solar technology due to their exceptional structural, optical, electronic, and mechanical properties. This study uses DFT calculations to investigate the properties of Mg3PF3 fluoroperovskite. Our results show a crystal structure and lattice parameter of (a = 4.64 Å) which align with previous theoretical and experimental findings, confirming the accuracy of our calculations. Mechanical analysis reveals that Mg3PF3 is naturally ductile, elastically anisotropic, and stable according to established criteria. The band structure and PDOS indicate that it is a semiconductor with direct bandgap of 3.88 eV at the Γ point, making it suitable for electronic applications. Electron charge density mapping suggests a predominantly ionic bonding nature. Optical property analysis shows significant dielectric constant peaks in the photon energy range favorable for solar cells. Overall, these findings position Mg3PF3 as a promising candidate for solar cell technology, highlighting its potential for enhancing renewable energy solutions.
{"title":"A DFT-based computational study on a highly and lead-free inorganic new fluoroperovskite of Mg3PF3","authors":"Md. Ferdous Rahman , Md. Hafizur Rahman , Tanvir Al Galib , Ahsan Habib , Ahmad Irfan","doi":"10.1016/j.physleta.2024.130027","DOIUrl":"10.1016/j.physleta.2024.130027","url":null,"abstract":"<div><div>Inorganic fluoroperovskite materials are increasingly important in solar technology due to their exceptional structural, optical, electronic, and mechanical properties. This study uses DFT calculations to investigate the properties of Mg<sub>3</sub>PF<sub>3</sub> fluoroperovskite. Our results show a crystal structure and lattice parameter of (<em>a</em> = 4.64 Å) which align with previous theoretical and experimental findings, confirming the accuracy of our calculations. Mechanical analysis reveals that Mg<sub>3</sub>PF<sub>3</sub> is naturally ductile, elastically anisotropic, and stable according to established criteria. The band structure and PDOS indicate that it is a semiconductor with direct bandgap of 3.88 eV at the Γ point, making it suitable for electronic applications. Electron charge density mapping suggests a predominantly ionic bonding nature. Optical property analysis shows significant dielectric constant peaks in the photon energy range favorable for solar cells. Overall, these findings position Mg<sub>3</sub>PF<sub>3</sub> as a promising candidate for solar cell technology, highlighting its potential for enhancing renewable energy solutions.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"528 ","pages":"Article 130027"},"PeriodicalIF":2.3,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142651205","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}
Pub Date : 2024-11-07DOI: 10.1016/j.physleta.2024.130030
Jinyu Xie , Jiancheng Zheng , Lu Bai
Atmospheric turbulence and obstacles can distort rays during transmission, resulting in significant wavefront distortion and loss of optical field information. This paper employs the phase screen method to simulate the transmission characteristics of a Gaussian plane wave in turbulent conditions, establishing an obstacle grid at the receiver to represent beam obstruction. A dataset of unobstructed transmissions is used to train a Backpropagation Neural Network, constructing neurons and connection weights. By scanning optical field data systematically, the model compensates for the obstructed portions of the optical field distribution. The results are compared to unobstructed transmissions, focusing on image similarity, and demonstrate the entire process from compensation to distortion correction. Simulation results indicate that the Backpropagation Neural Network effectively compensates for optical field information loss, showcasing strong performance within a certain time scale.
{"title":"Model for restoring obstructed beam transmission in atmospheric turbulence based on BP neural network","authors":"Jinyu Xie , Jiancheng Zheng , Lu Bai","doi":"10.1016/j.physleta.2024.130030","DOIUrl":"10.1016/j.physleta.2024.130030","url":null,"abstract":"<div><div>Atmospheric turbulence and obstacles can distort rays during transmission, resulting in significant wavefront distortion and loss of optical field information. This paper employs the phase screen method to simulate the transmission characteristics of a Gaussian plane wave in turbulent conditions, establishing an obstacle grid at the receiver to represent beam obstruction. A dataset of unobstructed transmissions is used to train a Backpropagation Neural Network, constructing neurons and connection weights. By scanning optical field data systematically, the model compensates for the obstructed portions of the optical field distribution. The results are compared to unobstructed transmissions, focusing on image similarity, and demonstrate the entire process from compensation to distortion correction. Simulation results indicate that the Backpropagation Neural Network effectively compensates for optical field information loss, showcasing strong performance within a certain time scale.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"528 ","pages":"Article 130030"},"PeriodicalIF":2.3,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142651077","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}
The nonlinear Schrödinger equation (NLSE) and its various forms have significant applications in the field of soliton theory. The Fokas-Lenells (FL) equation stands as a cornerstone in deepening our understanding of nonlinear wave dynamics within optical systems, particularly concerning the behavior of ultrashort pulses across different media. Its significance lies in providing a comprehensive framework to study and analyze complex phenomena, ultimately contributing to advancements in optical technology and applications. The FL equation is an integrable extension of the NLSE that provides a description of the nonlinear propagation of pulses in optical fiber. This paper seeks to discover optical soliton solutions for the FL equation by employing a modified sub-equation method. Additionally, the sensitivity analysis is described by using the various initial conditions. The main novelty of this paper lies in conducting a sensitivity analysis of the FL equation by examining the effects of various initial conditions, providing deeper insights into how these conditions influence the behavior of soliton solutions. For the physical behavior of the models, some solutions are graphically shown in 2D, 3D, and contour graphs by assigning specific values to the parameters under the provided situation at each solution. As a result, we discovered several new families of exact traveling wave solutions, such as bright solitons, dark solitons, and combined bright and dark solitons. This research opens numerous avenues for further exploration in the field of nonlinear wave dynamics and optical soliton theory. The discovery of exact soliton solutions for the FL equation through a modified sub-equation method paves the way for deeper investigations for newcomer researchers. The results of this study will contribute further to the field of mathematical physics, particularly in enhancing the understanding of nonlinear wave propagation and soliton theory in optical and other physical systems.
{"title":"Dynamics of optical solitons and sensitivity analysis in fiber optics","authors":"Nida Raees , Irfan Mahmood , Ejaz Hussain , Usman Younas , Hosam O. Elansary , Sohail Mumtaz","doi":"10.1016/j.physleta.2024.130031","DOIUrl":"10.1016/j.physleta.2024.130031","url":null,"abstract":"<div><div>The nonlinear Schrödinger equation (NLSE) and its various forms have significant applications in the field of soliton theory. The Fokas-Lenells (FL) equation stands as a cornerstone in deepening our understanding of nonlinear wave dynamics within optical systems, particularly concerning the behavior of ultrashort pulses across different media. Its significance lies in providing a comprehensive framework to study and analyze complex phenomena, ultimately contributing to advancements in optical technology and applications. The FL equation is an integrable extension of the NLSE that provides a description of the nonlinear propagation of pulses in optical fiber. This paper seeks to discover optical soliton solutions for the FL equation by employing a modified sub-equation method. Additionally, the sensitivity analysis is described by using the various initial conditions. The main novelty of this paper lies in conducting a sensitivity analysis of the FL equation by examining the effects of various initial conditions, providing deeper insights into how these conditions influence the behavior of soliton solutions. For the physical behavior of the models, some solutions are graphically shown in 2<em>D</em>, 3<em>D</em>, and contour graphs by assigning specific values to the parameters under the provided situation at each solution. As a result, we discovered several new families of exact traveling wave solutions, such as bright solitons, dark solitons, and combined bright and dark solitons. This research opens numerous avenues for further exploration in the field of nonlinear wave dynamics and optical soliton theory. The discovery of exact soliton solutions for the FL equation through a modified sub-equation method paves the way for deeper investigations for newcomer researchers. The results of this study will contribute further to the field of mathematical physics, particularly in enhancing the understanding of nonlinear wave propagation and soliton theory in optical and other physical systems.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"528 ","pages":"Article 130031"},"PeriodicalIF":2.3,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142651171","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}
Pub Date : 2024-11-07DOI: 10.1016/j.physleta.2024.130037
Nikolay A. Kudryashov , Daniil R. Nifontov , Anjan Biswas
The current paper retrieves the conservation laws for the extended version of the resonant nonlinear Schrödinger's equation for description of physical processes in quantum fluid dynamics and quantum optics. The method of multipliers recovers three fundamental conservation laws. Analytical solutions of equation are found taking into account traveling wave reduction. The conserved quantities are subsequently computed from the soliton solution of the model equation that is derived in this work too.
{"title":"Conservation laws for a perturbed resonant nonlinear Schrödinger equation in quantum fluid dynamics and quantum optics","authors":"Nikolay A. Kudryashov , Daniil R. Nifontov , Anjan Biswas","doi":"10.1016/j.physleta.2024.130037","DOIUrl":"10.1016/j.physleta.2024.130037","url":null,"abstract":"<div><div>The current paper retrieves the conservation laws for the extended version of the resonant nonlinear Schrödinger's equation for description of physical processes in quantum fluid dynamics and quantum optics. The method of multipliers recovers three fundamental conservation laws. Analytical solutions of equation are found taking into account traveling wave reduction. The conserved quantities are subsequently computed from the soliton solution of the model equation that is derived in this work too.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"528 ","pages":"Article 130037"},"PeriodicalIF":2.3,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142651204","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}
Pub Date : 2024-11-06DOI: 10.1016/j.physleta.2024.130035
Ahmad Mehramiz , Kaveh Pasandideh , Mahsa Alijabbari
Quantum Dots, due to their fully quantized electronic states, have contributed to considerable progress in modern science and technology. Here we calculate the wave functions and energy spectrum of an electron confined in an oblate spheroidal quantum dot under the finite barrier potential condition, allowing the tailoring of the various energy states for specific applications. By calculating the electron wave functions outside the dot, we found that an infinite barrier is not a valid approximation for analyzing the optical properties of the structure. The effect of various geometrical and electrical characteristics of the structure, including the eccentricity, effective volume, and the height of barrier potential, is investigated. Additionally, the findings are compared with those found with prolate spheroidal quantum dot. The findings are further validated by comparing them to the exact electron energy level in a spherical quantum under the infinite barrier approximation.
{"title":"The electronic properties of a single electron in the GaAs/Ga1−xAlxAs oblate spheroidal quantum dot under the finite confinement potential","authors":"Ahmad Mehramiz , Kaveh Pasandideh , Mahsa Alijabbari","doi":"10.1016/j.physleta.2024.130035","DOIUrl":"10.1016/j.physleta.2024.130035","url":null,"abstract":"<div><div>Quantum Dots, due to their fully quantized electronic states, have contributed to considerable progress in modern science and technology. Here we calculate the wave functions and energy spectrum of an electron confined in an oblate spheroidal quantum dot under the finite barrier potential condition, allowing the tailoring of the various energy states for specific applications. By calculating the electron wave functions outside the dot, we found that an infinite barrier is not a valid approximation for analyzing the optical properties of the structure. The effect of various geometrical and electrical characteristics of the structure, including the eccentricity, effective volume, and the height of barrier potential, is investigated. Additionally, the findings are compared with those found with prolate spheroidal quantum dot. The findings are further validated by comparing them to the exact electron energy level in a spherical quantum under the infinite barrier approximation.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"528 ","pages":"Article 130035"},"PeriodicalIF":2.3,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142651199","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}
Pub Date : 2024-11-06DOI: 10.1016/j.physleta.2024.130034
Qian-Ji Wang , Hai-Shan Zhang , Lin Shi , Yun-Hua Cheng , Jian Gong
Carbon-related 4.7 eV absorption band and small in-plane strains in AlN may have some significant effects on its application in optoelectronic devices. Based on the accurate hybrid density functional calculation, we investigate the transition energy levels, photo-transition processes, and hole capture cross-sections of CN defect. We propose that the transition from −1 to 0 charge states of CN defect may be responsible for the 4.7 eV absorption band in AlN. In addition, the CN defect-related absorption and emission peaks are linearly dependent on the biaxial strain in the range of −3% to +3%, and the hole non-radiative capture rate by the CN center at the −3% biaxial strain is only 3.65% of that at the +3% biaxial strain. This work provides an effective approach for regulating the charge carrier capture ability of the defect center and improving device performance.
{"title":"Regulation of CN-related optical transitions and non-radiative capture cross-section by biaxial strain in AlN","authors":"Qian-Ji Wang , Hai-Shan Zhang , Lin Shi , Yun-Hua Cheng , Jian Gong","doi":"10.1016/j.physleta.2024.130034","DOIUrl":"10.1016/j.physleta.2024.130034","url":null,"abstract":"<div><div>Carbon-related 4.7 eV absorption band and small in-plane strains in AlN may have some significant effects on its application in optoelectronic devices. Based on the accurate hybrid density functional calculation, we investigate the transition energy levels, photo-transition processes, and hole capture cross-sections of C<sub>N</sub> defect. We propose that the transition from −1 to 0 charge states of C<sub>N</sub> defect may be responsible for the 4.7 eV absorption band in AlN. In addition, the C<sub>N</sub> defect-related absorption and emission peaks are linearly dependent on the biaxial strain in the range of −3% to +3%, and the hole non-radiative capture rate by the C<sub>N</sub> center at the −3% biaxial strain is only 3.65% of that at the +3% biaxial strain. This work provides an effective approach for regulating the charge carrier capture ability of the defect center and improving device performance.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"528 ","pages":"Article 130034"},"PeriodicalIF":2.3,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142651200","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}
Pub Date : 2024-11-06DOI: 10.1016/j.physleta.2024.130029
WeiWei Xie , ChaoLing Du , YiHan Ding , XiaoYang Zhang , YangMao Luo , SiHao Xia , ShuiYan Cao
Cu2MoSnS4 (CCTS) is well suited as the absorption layer for solar cell due to its high absorption coefficient, suitable optical bandgap, and good stability. In this study, a novel CCTS-based solar cell with the structure of FTO/ZnO:Al/Ag2S/CCTS/Cu2O/C was proposed by setting Cu2O as the hole transport layer (HTL) to boost the photovoltaic (PV) efficiency. A comparative numerical study of its PV performance with that of the reference counterpart was performed by employing the software SCAPS, which demonstrates its obvious advantage. It was also numerically optimized by tuning the geometry and optoelectronic parameters. The optimized power conversion efficiency (PCE) was revealed to reach 26.27 %, getting 135 % improvement compared with that of the reference counterpart. It demonstrates that the proposed CCTS heterojunction solar cell with Cu2O as the HTL boosts the efficiency of CCTS-based solar cells and provide new clues for future CCTS solar cell design and application.
{"title":"Numerical investigation on the performance of heterojunction solar cells with Cu2O as the hole transport layer and Cu2MoSnS4 as the absorption layer","authors":"WeiWei Xie , ChaoLing Du , YiHan Ding , XiaoYang Zhang , YangMao Luo , SiHao Xia , ShuiYan Cao","doi":"10.1016/j.physleta.2024.130029","DOIUrl":"10.1016/j.physleta.2024.130029","url":null,"abstract":"<div><div>Cu<sub>2</sub>MoSnS<sub>4</sub> (CCTS) is well suited as the absorption layer for solar cell due to its high absorption coefficient, suitable optical bandgap, and good stability. In this study, a novel CCTS-based solar cell with the structure of FTO/ZnO:Al/Ag<sub>2</sub>S/CCTS/Cu<sub>2</sub>O/C was proposed by setting Cu<sub>2</sub>O as the hole transport layer (HTL) to boost the photovoltaic (PV) efficiency. A comparative numerical study of its PV performance with that of the reference counterpart was performed by employing the software SCAPS, which demonstrates its obvious advantage. It was also numerically optimized by tuning the geometry and optoelectronic parameters. The optimized power conversion efficiency (PCE) was revealed to reach 26.27 %, getting 135 % improvement compared with that of the reference counterpart. It demonstrates that the proposed CCTS heterojunction solar cell with Cu<sub>2</sub>O as the HTL boosts the efficiency of CCTS-based solar cells and provide new clues for future CCTS solar cell design and application.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"528 ","pages":"Article 130029"},"PeriodicalIF":2.3,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142651201","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}
Pub Date : 2024-11-05DOI: 10.1016/j.physleta.2024.130024
Jianwei Xu
Imaginary numbers play a significant role in quantum mechanics. Recently, a rigorous resource theory for the imaginarity of quantum states were established, and several imaginarity measures were proposed. In this work, we propose a new imaginarity measure based on the Tsallis relative entropy. This imaginarity measure has explicit expression, and also, it is computable for bosonic Gaussian states.
{"title":"Quantifying the imaginarity of quantum states via Tsallis relative entropy","authors":"Jianwei Xu","doi":"10.1016/j.physleta.2024.130024","DOIUrl":"10.1016/j.physleta.2024.130024","url":null,"abstract":"<div><div>Imaginary numbers play a significant role in quantum mechanics. Recently, a rigorous resource theory for the imaginarity of quantum states were established, and several imaginarity measures were proposed. In this work, we propose a new imaginarity measure based on the Tsallis relative entropy. This imaginarity measure has explicit expression, and also, it is computable for bosonic Gaussian states.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"528 ","pages":"Article 130024"},"PeriodicalIF":2.3,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142651193","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}
Pub Date : 2024-11-05DOI: 10.1016/j.physleta.2024.130032
T. Iwai
A quadrupole oscillator is presented as an integrable model in the Born-Oppenheimer formalism with an electronic Hamiltonian being the quadrupole tensor. The electronic states of present concern are associated with a doubly degenerate positive eigenvalue of the electronic Hamiltonian, and accordingly the nuclear Hamiltonian takes a matrix form. While the potential function for nuclear motion is proportional to , the kinetic energy operator is rather complicated, containing coupling terms with a Berry connection through adiabatic approximation. The energy eigenvalues, which receive a modification by a Chern number, get closer to those for the 3D isotropic harmonic oscillator if the angular momentum quantum number becomes sufficiently large.
{"title":"A quadrupole oscillator as an integrable model","authors":"T. Iwai","doi":"10.1016/j.physleta.2024.130032","DOIUrl":"10.1016/j.physleta.2024.130032","url":null,"abstract":"<div><div>A quadrupole oscillator is presented as an integrable model in the Born-Oppenheimer formalism with an electronic Hamiltonian being the quadrupole tensor. The electronic states of present concern are associated with a doubly degenerate positive eigenvalue of the electronic Hamiltonian, and accordingly the nuclear Hamiltonian takes a <span><math><mn>2</mn><mo>×</mo><mn>2</mn></math></span> matrix form. While the potential function for nuclear motion is proportional to <span><math><msup><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>, the kinetic energy operator is rather complicated, containing coupling terms with a Berry connection through adiabatic approximation. The energy eigenvalues, which receive a modification by a Chern number, get closer to those for the 3D isotropic harmonic oscillator if the angular momentum quantum number becomes sufficiently large.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"528 ","pages":"Article 130032"},"PeriodicalIF":2.3,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142592616","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}
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