Pub Date : 2024-11-26DOI: 10.1016/j.aop.2024.169862
J. Furtado , A.C.A. Ramos , J.E.G. Silva , R. Bachelard , Alan C. Santos
We propose to use the quantum states of an electron trapped on the inner surface of a graphene nanotorus to realize as a new kind of physical quantum bit, which can be used to encode quantum information. Fundamental tasks for quantum information processing, such as the qubit initialization and the implementation of arbitrary single qubit gates, can then be performed using external magnetic and electric fields. We also analyze the robustness of the device again systematic errors, which can be suppressed by a suitable choice of the external control fields. These findings open new prospects for the development an alternative platform for quantum computing, the scalability of which remains to be determined.
{"title":"Encoding quantum bits in bound electronic states of a graphene nanotorus","authors":"J. Furtado , A.C.A. Ramos , J.E.G. Silva , R. Bachelard , Alan C. Santos","doi":"10.1016/j.aop.2024.169862","DOIUrl":"10.1016/j.aop.2024.169862","url":null,"abstract":"<div><div>We propose to use the quantum states of an electron trapped on the inner surface of a graphene nanotorus to realize as a new kind of physical quantum bit, which can be used to encode quantum information. Fundamental tasks for quantum information processing, such as the qubit initialization and the implementation of arbitrary single qubit gates, can then be performed using external magnetic and electric fields. We also analyze the robustness of the device again systematic errors, which can be suppressed by a suitable choice of the external control fields. These findings open new prospects for the development an alternative platform for quantum computing, the scalability of which remains to be determined.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"472 ","pages":"Article 169862"},"PeriodicalIF":3.0,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142748280","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}
In this paper, we study an asymptotically flat black hole spacetime with weakly nonminimally coupled monopole charge. We analytically and numerically investigate light ray propagation around such a black hole by employing the common Lagrangian formalism. Our analysis encompasses both radial and angular geodesics, for which we present analytical solutions in terms of incomplete Lauricella hypergeometric functions. Additionally, we explore the impact of the coupling constant on geodesic motion. Based on observations from the Event Horizon Telescope, we constrain the black hole parameters, resulting in a coupling constant range of . Throughout our analysis, we simulate all possible trajectories and, where necessary, perform numerical inversion of the included integrals.
{"title":"Null geodesics around a black hole with weakly coupled global monopole charge","authors":"Mohsen Fathi , J.R. Villanueva , Thiago R.P. Caramês , Alejandro Morales-Díaz","doi":"10.1016/j.aop.2024.169863","DOIUrl":"10.1016/j.aop.2024.169863","url":null,"abstract":"<div><div>In this paper, we study an asymptotically flat black hole spacetime with weakly nonminimally coupled monopole charge. We analytically and numerically investigate light ray propagation around such a black hole by employing the common Lagrangian formalism. Our analysis encompasses both radial and angular geodesics, for which we present analytical solutions in terms of incomplete Lauricella hypergeometric functions. Additionally, we explore the impact of the coupling constant on geodesic motion. Based on observations from the Event Horizon Telescope, we constrain the black hole parameters, resulting in a coupling constant range of <span><math><mrow><mo>−</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>≲</mo><mi>α</mi><mo>≲</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></math></span>. Throughout our analysis, we simulate all possible trajectories and, where necessary, perform numerical inversion of the included integrals.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"472 ","pages":"Article 169863"},"PeriodicalIF":3.0,"publicationDate":"2024-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142719966","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 : 2024-11-23DOI: 10.1016/j.aop.2024.169861
B. Hamil , B.C. Lütfüoğlu
In this paper, we present an exact solution for a spherically symmetric Schwarzschild black hole surrounded by perfect fluid dark matter (PFDM) in the presence of a quintessence field. We investigate the impact of dark matter on the black hole’s thermodynamic and optical properties, as well as its quasinormal modes. Our analysis reveals a critical radius where the heat capacity becomes positive, indicating the thermodynamic stability of the black hole. Notably, this critical radius increases with the dark matter parameter . Additionally, we find that as the effects of dark matter increase, the black hole’s shadow radius decreases. Using the WKB approximation, we show that the quasinormal mode spectrum differs from that of a standard Schwarzschild black hole due to the influence of PFDM. Moreover, we demonstrate that as increases, both the real part and the magnitude of the imaginary part of the quasinormal mode frequencies increase. This suggests that field perturbations decay more rapidly in the presence of PFDM compared to those in a Schwarzschild black hole.
{"title":"Schwarzschild black hole surrounded by perfect fluid dark matter in the presence of quintessence matter field","authors":"B. Hamil , B.C. Lütfüoğlu","doi":"10.1016/j.aop.2024.169861","DOIUrl":"10.1016/j.aop.2024.169861","url":null,"abstract":"<div><div>In this paper, we present an exact solution for a spherically symmetric Schwarzschild black hole surrounded by perfect fluid dark matter (PFDM) in the presence of a quintessence field. We investigate the impact of dark matter on the black hole’s thermodynamic and optical properties, as well as its quasinormal modes. Our analysis reveals a critical radius where the heat capacity becomes positive, indicating the thermodynamic stability of the black hole. Notably, this critical radius increases with the dark matter parameter <span><math><mi>α</mi></math></span>. Additionally, we find that as the effects of dark matter increase, the black hole’s shadow radius decreases. Using the WKB approximation, we show that the quasinormal mode spectrum differs from that of a standard Schwarzschild black hole due to the influence of PFDM. Moreover, we demonstrate that as <span><math><mi>α</mi></math></span> increases, both the real part and the magnitude of the imaginary part of the quasinormal mode frequencies increase. This suggests that field perturbations decay more rapidly in the presence of PFDM compared to those in a Schwarzschild black hole.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"472 ","pages":"Article 169861"},"PeriodicalIF":3.0,"publicationDate":"2024-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142719962","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 : 2024-11-23DOI: 10.1016/j.aop.2024.169864
J. Sedaghat, G.H. Bordbar, S.M. Zebarjad
This study investigates the structural properties of strange quark stars (SQS) using a Quantum Chromodynamics (QCD) perturbative model combined with the latest Particle Data Group dataset. Given the energy scale present in compact stars, QCD perturbation theory alone may not fully explain their structure. To account for non-perturbative contributions, we incorporate a density-dependent effective bag parameter, , and derive the equation of state (EOS) for strange quark matter (SQM). We start by demonstrating the limitations of EOSs with a constant in describing massive objects with . Subsequently, we show that considering as a density-dependent function significantly changes the results. Our definition of includes two parameters determined by both theoretical and observational constraints. We demonstrate that incorporating a density-dependent into the perturbative EOS can yield SQSs with masses exceeding , while complying with gravitational wave constraints such as tidal deformability, and thermodynamic considerations, including stability conditions and speed of sound behavior. Specifically, we show that massive compact objects like PSR J0952-0607, PSR J2215+5135, PSR J0740+6620, and the secondary mass of GW190814 can be SQSs. Additionally, we compare our EOS with the EOS of the authors who use a generalized polytropic form with adjustable parameters and obtain an interesting result.
本研究利用量子色动力学（QCD）微扰模型，结合最新的粒子数据组数据集，对奇异夸克星（SQS）的结构特性进行了研究。考虑到紧凑星的能量尺度，仅靠 QCD 微扰理论可能无法完全解释它们的结构。为了解释非微扰贡献，我们加入了一个与密度相关的有效包参数 B，并推导出了奇异夸克物质（SQM）的状态方程（EOS）。我们首先证明了常数 B 的 EOS 在描述具有 MTOV>2M⊙ 的大质量天体时的局限性。随后，我们展示了将 B 视为密度依赖函数会显著改变结果。我们对 B 的定义包括两个由理论和观测约束决定的参数。我们证明，将依赖密度的 B 纳入微扰 EOS 可以得到质量超过 2M⊙ 的 SQS，同时符合引力波约束（如潮汐变形性）和热力学考虑（包括稳定性条件和声速行为）。具体来说，我们证明了像 PSR J0952-0607、PSR J2215+5135、PSR J0740+6620 这样的大质量紧凑天体以及 GW190814 的次级质量可能是 SQS。此外，我们还将我们的EOS与作者的EOS进行了比较，后者使用了参数可调的广义多回归形式，并得到了一个有趣的结果。
{"title":"Constraint on the equation of state of strange quark star: Perturbative QCD along with a density-dependent bag constant","authors":"J. Sedaghat, G.H. Bordbar, S.M. Zebarjad","doi":"10.1016/j.aop.2024.169864","DOIUrl":"10.1016/j.aop.2024.169864","url":null,"abstract":"<div><div>This study investigates the structural properties of strange quark stars (SQS) using a Quantum Chromodynamics (QCD) perturbative model combined with the latest Particle Data Group dataset. Given the energy scale present in compact stars, QCD perturbation theory alone may not fully explain their structure. To account for non-perturbative contributions, we incorporate a density-dependent effective bag parameter, <span><math><mi>B</mi></math></span>, and derive the equation of state (EOS) for strange quark matter (SQM). We start by demonstrating the limitations of EOSs with a constant <span><math><mi>B</mi></math></span> in describing massive objects with <span><math><mrow><msub><mrow><mi>M</mi></mrow><mrow><mi>T</mi><mi>O</mi><mi>V</mi></mrow></msub><mo>></mo><mn>2</mn><msub><mrow><mi>M</mi></mrow><mrow><mo>⊙</mo></mrow></msub></mrow></math></span>. Subsequently, we show that considering <span><math><mi>B</mi></math></span> as a density-dependent function significantly changes the results. Our definition of <span><math><mi>B</mi></math></span> includes two parameters determined by both theoretical and observational constraints. We demonstrate that incorporating a density-dependent <span><math><mi>B</mi></math></span> into the perturbative EOS can yield SQSs with masses exceeding <span><math><mrow><mn>2</mn><msub><mrow><mi>M</mi></mrow><mrow><mo>⊙</mo></mrow></msub></mrow></math></span>, while complying with gravitational wave constraints such as tidal deformability, and thermodynamic considerations, including stability conditions and speed of sound behavior. Specifically, we show that massive compact objects like PSR J0952-0607, PSR J2215+5135, PSR J0740+6620, and the secondary mass of GW190814 can be SQSs. Additionally, we compare our EOS with the EOS of the authors who use a generalized polytropic form with adjustable parameters and obtain an interesting result.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"472 ","pages":"Article 169864"},"PeriodicalIF":3.0,"publicationDate":"2024-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142719965","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 : 2024-11-19DOI: 10.1016/j.aop.2024.169854
Mariyah Aslam , Adnan Malik
In this study, we model a new relativistic dark energy star by enforcing a static and isotropic spherically symmetric fluid distribution within the framework of gravity, utilizing the Starobinsky model in the field equations. The analysis is conducted using the Tolman–Kuchowicz metric potentials and by employing the equation of state which models dark energy with its density proportional to the isotropic perfect fluid density. By applying junction conditions and considering the Schwarzschild solution as the exterior geometry, we compute the unknown parameters of the constructed model. The physical plausibility of the model is thoroughly examined, ensuring the regularity and consistency of metric functions and matter variables. We analyze energy conditions to confirm the system’s physical realism and derive the mass–radius relationship along with gravitational redshift, providing significant insights into the structure of the compact star candidate 4U 1820-30. The hydrostatic equilibrium is evaluated using the TOV equation, while stability is determined through the causality condition and adiabatic index. The results demonstrate that the proposed model, for the chosen values of the model parameter, is physically consistent and satisfies all necessary stability criteria, providing a viable and realistic description of a compact stellar structure influenced by dark energy.
{"title":"Impact of Tolman–Kuchowicz solution on dark energy compact stars in f(R) theory","authors":"Mariyah Aslam , Adnan Malik","doi":"10.1016/j.aop.2024.169854","DOIUrl":"10.1016/j.aop.2024.169854","url":null,"abstract":"<div><div>In this study, we model a new relativistic dark energy star by enforcing a static and isotropic spherically symmetric fluid distribution within the framework of <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> gravity, utilizing the Starobinsky model in the field equations. The analysis is conducted using the Tolman–Kuchowicz metric potentials and by employing the equation of state which models dark energy with its density proportional to the isotropic perfect fluid density. By applying junction conditions and considering the Schwarzschild solution as the exterior geometry, we compute the unknown parameters of the constructed model. The physical plausibility of the model is thoroughly examined, ensuring the regularity and consistency of metric functions and matter variables. We analyze energy conditions to confirm the system’s physical realism and derive the mass–radius relationship along with gravitational redshift, providing significant insights into the structure of the compact star candidate 4U 1820-30. The hydrostatic equilibrium is evaluated using the TOV equation, while stability is determined through the causality condition and adiabatic index. The results demonstrate that the proposed model, for the chosen values of the model parameter, is physically consistent and satisfies all necessary stability criteria, providing a viable and realistic description of a compact stellar structure influenced by dark energy.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"472 ","pages":"Article 169854"},"PeriodicalIF":3.0,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142700802","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 : 2024-11-19DOI: 10.1016/j.aop.2024.169856
Chen-Te Ma , Hui Zhuang
We focus on the behavior of (2+1)d and (5+1)d or theories in different regimes and compare the results obtained from the adaptive perturbation method with those obtained from lattice simulation. These theories are simple models that exhibit asymptotic freedom, which is a property that is also observed in more complex theories such as QCD, which describes the strong interaction between quarks and gluons. Asymptotic freedom is an important feature of these theories because it allows for a perturbative treatment of interactions at high energies. However, the standard perturbation scheme breaks down in the presence of strong interactions, and the adaptive perturbation method, which involves resuming the Feynman diagrams, is more suitable for studying these interactions. Our research involves comparing the perturbation result to lattice simulation. In the case of the theory, there is no stable vacuum, so we explore evidence from the theory instead. Our results appear to show that resummation improves the strong coupling result for both the and theories. Additionally, we improve the resummation method for the three-point coupling vertex and study the RG flow to analyze the resummation contribution and theoretical properties.
{"title":"Study of asymptotic free scalar field theories from adaptive perturbation method","authors":"Chen-Te Ma , Hui Zhuang","doi":"10.1016/j.aop.2024.169856","DOIUrl":"10.1016/j.aop.2024.169856","url":null,"abstract":"<div><div>We focus on the behavior of (2+1)d <span><math><mrow><mi>λ</mi><msup><mrow><mi>ϕ</mi></mrow><mrow><mn>4</mn></mrow></msup></mrow></math></span> and (5+1)d <span><math><mrow><mi>λ</mi><msup><mrow><mi>ϕ</mi></mrow><mrow><mn>3</mn></mrow></msup></mrow></math></span> or <span><math><mrow><mi>λ</mi><mo>|</mo><mi>ϕ</mi><msup><mrow><mo>|</mo></mrow><mrow><mn>3</mn></mrow></msup></mrow></math></span> theories in different regimes and compare the results obtained from the adaptive perturbation method with those obtained from lattice simulation. These theories are simple models that exhibit asymptotic freedom, which is a property that is also observed in more complex theories such as QCD, which describes the strong interaction between quarks and gluons. Asymptotic freedom is an important feature of these theories because it allows for a perturbative treatment of interactions at high energies. However, the standard perturbation scheme breaks down in the presence of strong interactions, and the adaptive perturbation method, which involves resuming the Feynman diagrams, is more suitable for studying these interactions. Our research involves comparing the perturbation result to lattice simulation. In the case of the <span><math><msup><mrow><mi>ϕ</mi></mrow><mrow><mn>3</mn></mrow></msup></math></span> theory, there is no stable vacuum, so we explore evidence from the <span><math><mrow><mo>|</mo><mi>ϕ</mi><msup><mrow><mo>|</mo></mrow><mrow><mn>3</mn></mrow></msup></mrow></math></span> theory instead. Our results appear to show that resummation improves the strong coupling result for both the <span><math><mrow><mi>λ</mi><msup><mrow><mi>ϕ</mi></mrow><mrow><mn>4</mn></mrow></msup></mrow></math></span> and <span><math><mrow><mi>λ</mi><mo>|</mo><mi>ϕ</mi><msup><mrow><mo>|</mo></mrow><mrow><mn>3</mn></mrow></msup></mrow></math></span> theories. Additionally, we improve the resummation method for the three-point coupling vertex and study the RG flow to analyze the resummation contribution and theoretical properties.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"472 ","pages":"Article 169856"},"PeriodicalIF":3.0,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142700799","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 : 2024-11-19DOI: 10.1016/j.aop.2024.169860
Marco A. Tun-Carrillo , Miguel E. Mora-Ramos , Hernán A. Gómez-Urrea , Ignacio V. Pérez-Quintana
A theoretical study of some properties of light propagation in Rudin–Shapiro one-dimensional photonic heterostructures is presented. Particular attention is paid to hybrid periodic–quasiperiodic–periodic systems that include the Rudin–Shapiro sequence design in the non-periodic regions. Features such as omnidirectional reflection, spatial mode localization and full photonic band gap are discussed for different cases. The calculation tool employed is the transfer matrix/scattering matrix technique. The proposed hybrid heterostructure then are used as unitary cells of a photonic crystal which shows wide omnidirectional full gaps in the infrared regions of work. In some of the structures investigated, the proposal involves different pattern of dielectric contrast appears for the periodic part and for the quasiperiodic part.
{"title":"Photonic properties of 1D multilayered structures based on quasiperiodic Rudin–Shapiro sequence","authors":"Marco A. Tun-Carrillo , Miguel E. Mora-Ramos , Hernán A. Gómez-Urrea , Ignacio V. Pérez-Quintana","doi":"10.1016/j.aop.2024.169860","DOIUrl":"10.1016/j.aop.2024.169860","url":null,"abstract":"<div><div>A theoretical study of some properties of light propagation in Rudin–Shapiro one-dimensional photonic heterostructures is presented. Particular attention is paid to hybrid periodic–quasiperiodic–periodic systems that include the Rudin–Shapiro sequence design in the non-periodic regions. Features such as omnidirectional reflection, spatial mode localization and full photonic band gap are discussed for different cases. The calculation tool employed is the transfer matrix/scattering matrix technique. The proposed hybrid heterostructure then are used as unitary cells of a photonic crystal which shows wide omnidirectional full gaps in the infrared regions of work. In some of the structures investigated, the proposal involves different pattern of dielectric contrast appears for the periodic part and for the quasiperiodic part.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"472 ","pages":"Article 169860"},"PeriodicalIF":3.0,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142700803","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}
This study investigates the potential of the Sagnac Effect for detecting dark matter in the Solar System, particularly within the Sun. Originating from the relative delay and interference of light beams traveling in opposite directions on rotating platforms, the effect can account for how varying gravitational conditions affect its manifestation. We analyze the Sagnac time in two static, spherically symmetric spacetimes: Schwarzschild and one incorporating dark matter, in the form of a perfect fluid. Comparing the relative deviations in Sagnac time calculated for these metrics in the reference frame of satellites orbiting our star, which serve as a rotating circular platform and emit laser beams in opposite directions, with the precision of onboard atomic clocks (about ), allows us to evaluate the potential for detecting dark matter’s gravitational influence through this effect.
{"title":"Probing the solar system for dark matter using the Sagnac effect","authors":"A.D.S. Souza , C.R. Muniz , R.M.P. Neves , M.B. Cruz","doi":"10.1016/j.aop.2024.169859","DOIUrl":"10.1016/j.aop.2024.169859","url":null,"abstract":"<div><div>This study investigates the potential of the Sagnac Effect for detecting dark matter in the Solar System, particularly within the Sun. Originating from the relative delay and interference of light beams traveling in opposite directions on rotating platforms, the effect can account for how varying gravitational conditions affect its manifestation. We analyze the Sagnac time in two static, spherically symmetric spacetimes: Schwarzschild and one incorporating dark matter, in the form of a perfect fluid. Comparing the relative deviations in Sagnac time calculated for these metrics in the reference frame of satellites orbiting our star, which serve as a rotating circular platform and emit laser beams in opposite directions, with the precision of onboard atomic clocks (about <span><math><mrow><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>11</mn></mrow></msup></mrow></math></span>), allows us to evaluate the potential for detecting dark matter’s gravitational influence through this effect.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"472 ","pages":"Article 169859"},"PeriodicalIF":3.0,"publicationDate":"2024-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142700798","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 : 2024-11-16DOI: 10.1016/j.aop.2024.169857
Henryk Gzyl
In this work, we re-examine the Goldstein-Kaç (also called Poisson-Kaç) velocity switching model from two points of view. On the one hand, we prove that the forward and backward Chapman–Kolmogorov equations of the stochastic process are Lorentz covariant when the trajectories are parameterized by their proper time. On the other hand, to recast the model as a quantum random evolution, we restate the Goldstein-Kaç model as a Hamiltonian system, which can then be quantized using the standard correspondence rules. It turns out that the density matrix for the random quantum evolution satisfies a Chapman–Kolmogorov equation similar to that of the classical case, and therefore, it is also Lorentz covariant. To finish, we verify that the quantum model is also consistent with special relativity and that transitions outside the light cone, that is, transitions between states with disjoint supports in space–time, cannot occur.
{"title":"Lorentz covariant physical Brownian motion: Classical and quantum","authors":"Henryk Gzyl","doi":"10.1016/j.aop.2024.169857","DOIUrl":"10.1016/j.aop.2024.169857","url":null,"abstract":"<div><div>In this work, we re-examine the Goldstein-Kaç (also called Poisson-Kaç) velocity switching model from two points of view. On the one hand, we prove that the forward and backward Chapman–Kolmogorov equations of the stochastic process are Lorentz covariant when the trajectories are parameterized by their proper time. On the other hand, to recast the model as a quantum random evolution, we restate the Goldstein-Kaç model as a Hamiltonian system, which can then be quantized using the standard correspondence rules. It turns out that the density matrix for the random quantum evolution satisfies a Chapman–Kolmogorov equation similar to that of the classical case, and therefore, it is also Lorentz covariant. To finish, we verify that the quantum model is also consistent with special relativity and that transitions outside the light cone, that is, transitions between states with disjoint supports in space–time, cannot occur.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"472 ","pages":"Article 169857"},"PeriodicalIF":3.0,"publicationDate":"2024-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142700800","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 : 2024-11-16DOI: 10.1016/j.aop.2024.169858
Cleverson Filgueiras , Moises Rojas , Denise Assafrão , A.G. de Lima
This study investigates the intricate interplay between inertial effects and the quantum Hall effect (QHE) in two-dimensional electron systems (2DEGs), specifically in a system. We analyze how hydrostatic pressure, temperature, and aluminum concentration influence the effective electronic mass and consequently modify the energy levels of the system. A key aspect of our work is the distinction between effective mass and gravitational mass, which plays a crucial role in the behavior of electrons under inertial forces. The Hamiltonian incorporates the Sagnac effect, revealing distinct behaviors in the energy structure of a rotating 2DEG under a perpendicular magnetic field. Our results demonstrate that rotational motion breaks the degeneracy of Landau levels, resulting in a complex energy spectrum that significantly impacts Hall conductivity. We show that the Hall conductivity is enhanced by the rotational motion and is sensitive to variations in the effective mass due to changes in aluminum concentration and pressure. These findings provide crucial insights into the dynamics of 2DEGs in rotating frames and highlight the need to account for inertial effects in future theoretical and experimental studies of quantum systems.
{"title":"Sagnac effect and quantum Hall effect in rotating GaAs/Ga1−xAlxAs systems","authors":"Cleverson Filgueiras , Moises Rojas , Denise Assafrão , A.G. de Lima","doi":"10.1016/j.aop.2024.169858","DOIUrl":"10.1016/j.aop.2024.169858","url":null,"abstract":"<div><div>This study investigates the intricate interplay between inertial effects and the quantum Hall effect (QHE) in two-dimensional electron systems (2DEGs), specifically in a <span><math><mrow><mi>G</mi><mi>a</mi><mi>A</mi><mi>s</mi><mo>/</mo><mi>G</mi><msub><mrow><mi>a</mi></mrow><mrow><mn>1</mn><mo>−</mo><mi>x</mi></mrow></msub><mi>A</mi><msub><mrow><mi>l</mi></mrow><mrow><mi>x</mi></mrow></msub><mi>A</mi><mi>s</mi></mrow></math></span> system. We analyze how hydrostatic pressure, temperature, and aluminum concentration influence the effective electronic mass and consequently modify the energy levels of the system. A key aspect of our work is the distinction between effective mass and gravitational mass, which plays a crucial role in the behavior of electrons under inertial forces. The Hamiltonian incorporates the Sagnac effect, revealing distinct behaviors in the energy structure of a rotating 2DEG under a perpendicular magnetic field. Our results demonstrate that rotational motion breaks the degeneracy of Landau levels, resulting in a complex energy spectrum that significantly impacts Hall conductivity. We show that the Hall conductivity is enhanced by the rotational motion and is sensitive to variations in the effective mass due to changes in aluminum concentration and pressure. These findings provide crucial insights into the dynamics of 2DEGs in rotating frames and highlight the need to account for inertial effects in future theoretical and experimental studies of quantum systems.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"472 ","pages":"Article 169858"},"PeriodicalIF":3.0,"publicationDate":"2024-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142700801","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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