Pub Date : 2025-09-18DOI: 10.1016/j.aop.2025.170230
Madhukrishna Chakraborty , Subenoy Chakraborty
The paper deals with the modified Raychaudhuri equation (RE) and convergence of a congruence of time-like geodesics in anisotropic background. The analysis has been compared and contrasted with the isotropic case. Presence of anisotropy in early universe and its effect in the initial big-bang singularity has been discussed using the Raychaudhuri equation corresponding to shear () and expansion (). Further, the Harmonic oscillator form of the RE has been invoked and effect of anisotropy in convergence has been discussed. Additionally, the effect of anisotropy in determining cosmological dynamics has also been presented using the analytic solution of RE and a justification to Cosmic No Hair conjecture has been given in light of the present analysis. Finally, quantum gravitational aspects by formulating a Wheeler-DeWitt equation based on the anisotropic Raychaudhuri framework has been explored which offers a probabilistic criterion for singularity avoidance and quantum corrections to the cosmic evolution.
{"title":"Anisotropic modifications of Gravitational dynamics: Implications for singularity and Cosmic No-Hair theorem via Raychaudhuri equation","authors":"Madhukrishna Chakraborty , Subenoy Chakraborty","doi":"10.1016/j.aop.2025.170230","DOIUrl":"10.1016/j.aop.2025.170230","url":null,"abstract":"<div><div>The paper deals with the modified Raychaudhuri equation (RE) and convergence of a congruence of time-like geodesics in anisotropic background. The analysis has been compared and contrasted with the isotropic case. Presence of anisotropy in early universe and its effect in the initial big-bang singularity has been discussed using the Raychaudhuri equation corresponding to shear (<span><math><mi>σ</mi></math></span>) and expansion (<span><math><mi>Θ</mi></math></span>). Further, the Harmonic oscillator form of the RE has been invoked and effect of anisotropy in convergence has been discussed. Additionally, the effect of anisotropy in determining cosmological dynamics has also been presented using the analytic solution of RE and a justification to Cosmic No Hair conjecture has been given in light of the present analysis. Finally, quantum gravitational aspects by formulating a Wheeler-DeWitt equation based on the anisotropic Raychaudhuri framework has been explored which offers a probabilistic criterion for singularity avoidance and quantum corrections to the cosmic evolution.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"482 ","pages":"Article 170230"},"PeriodicalIF":3.0,"publicationDate":"2025-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145099716","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 : 2025-09-18DOI: 10.1016/j.aop.2025.170234
Byron P. Brassel , Sumeekha Singh , Sunil D. Maharaj
We study pressure models in higher dimensional general relativity and Einstein-Gauss–Bonnet (EGB) gravity in a spherically symmetric spacetime. In EGB gravity, we show that the dynamics of the model are governed by an Abel differential equation of the second kind. A general first integral is possible for all values of the spatial curvature, equation of state parameter and spacetime dimension. We further show that an explicit solution is possible for the cosmic scale factor in EGB gravity for the dark energy equation of state. We further demonstrate that for the dark energy equation of state, an anti-de Sitter-Gauss–Bonnet universe is possible, which is not necessarily the case in general relativity. It is also shown that the effective pressure of the Gauss–Bonnet universe contains the higher order curvature corrections and remains, like the general relativity case, negative for all dimensions. The Hawking temperature of the dark Gauss–Bonnet universe is found and is positive and constant for all spatial curvature, and depends critically on the spacetime dimension.
{"title":"Dark equation of state for the Gauss–Bonnet universe","authors":"Byron P. Brassel , Sumeekha Singh , Sunil D. Maharaj","doi":"10.1016/j.aop.2025.170234","DOIUrl":"10.1016/j.aop.2025.170234","url":null,"abstract":"<div><div>We study pressure models in higher dimensional general relativity and Einstein-Gauss–Bonnet (EGB) gravity in a spherically symmetric spacetime. In EGB gravity, we show that the dynamics of the model are governed by an Abel differential equation of the second kind. A general first integral is possible for all values of the spatial curvature, equation of state parameter and spacetime dimension. We further show that an explicit solution is possible for the cosmic scale factor in EGB gravity for the dark energy equation of state. We further demonstrate that for the dark energy equation of state, an anti-de Sitter-Gauss–Bonnet universe is possible, which is not necessarily the case in general relativity. It is also shown that the effective pressure of the Gauss–Bonnet universe contains the higher order curvature corrections and remains, like the general relativity case, negative for all dimensions. The Hawking temperature of the dark Gauss–Bonnet universe is found and is positive and constant for all spatial curvature, and depends critically on the spacetime dimension.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"482 ","pages":"Article 170234"},"PeriodicalIF":3.0,"publicationDate":"2025-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145118304","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 : 2025-09-18DOI: 10.1016/j.aop.2025.170229
D. Kileba Matondo , T.P. Mafa , S.D. Maharaj
We analyse matter distributions which are anisotropic and satisfy a generalised equation of state in an electromagnetic field. The generalised equation of state reduces to the standard polytrope and quark matter for suitable choices of parameters. New classes of exact solutions to the Einstein–Maxwell system are found for particular choices of the polytropic index. Known exact solutions are regained as special cases. The nonzero electric field has a significant effect on the behaviour of the model and affects the gravitational dynamics. The requirements for a physically acceptable relativistic compact object are satisfied.
{"title":"Charged anisotropic model with generalised polytropic equation of state","authors":"D. Kileba Matondo , T.P. Mafa , S.D. Maharaj","doi":"10.1016/j.aop.2025.170229","DOIUrl":"10.1016/j.aop.2025.170229","url":null,"abstract":"<div><div>We analyse matter distributions which are anisotropic and satisfy a generalised equation of state in an electromagnetic field. The generalised equation of state reduces to the standard polytrope and quark matter for suitable choices of parameters. New classes of exact solutions to the Einstein–Maxwell system are found for particular choices of the polytropic index. Known exact solutions are regained as special cases. The nonzero electric field has a significant effect on the behaviour of the model and affects the gravitational dynamics. The requirements for a physically acceptable relativistic compact object are satisfied.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"482 ","pages":"Article 170229"},"PeriodicalIF":3.0,"publicationDate":"2025-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145118227","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 : 2025-09-18DOI: 10.1016/j.aop.2025.170231
Manosh T. Manoharan
Cohen, Kaplan, and Nelson’s influential paper established that the UV–IR cut-offs cannot be arbitrarily chosen but are constrained by the relation . Here, we revisit the formulation of the CKN entropy bound and compare it with other bounds. The specific characteristics of each bound are shown to depend on the underlying scaling of entropy. Notably, employing a non-extensive scaling with the von Neumann entropy definition yields a more stringent constraint, , where is the Bekenstein–Hawking entropy. We also clarify distinctions between the IR cut-offs used in these frameworks. Moving to the causal entropy bound, we demonstrate that it categorises the CKN bound as matter-like, the von Neumann bound as radiation-like, and the Bekenstein bound as black hole-like systems when saturated. Emphasising cosmological implications, we confirm the consistency between the bounds and the first laws of horizon thermodynamics. We then analyse the shortcomings in standard Holographic Dark Energy (HDE) models, highlighting the challenges in constructing HDE using . Specifically, using the Hubble function in HDE definitions introduces circular logic, causing dark energy to mimic the second dominant component rather than behaving as matter. We further illustrate that the potential for other IR cut-offs, like the future event horizon in an FLRW background or those involving derivatives of the Hubble function, to explain late-time acceleration stems from an integration constant that cannot be trivially set to zero. In brief, the CKN relation does not assign an arbitrary cosmological constant; it explains why its value is small.
{"title":"Entropy bounds and holographic dark energy: Conflicts and consensus","authors":"Manosh T. Manoharan","doi":"10.1016/j.aop.2025.170231","DOIUrl":"10.1016/j.aop.2025.170231","url":null,"abstract":"<div><div>Cohen, Kaplan, and Nelson’s influential paper established that the UV–IR cut-offs cannot be arbitrarily chosen but are constrained by the relation <span><math><mrow><msup><mrow><mi>Λ</mi></mrow><mrow><mn>2</mn></mrow></msup><mi>L</mi><mo>≲</mo><msub><mrow><mi>M</mi></mrow><mrow><mi>p</mi></mrow></msub></mrow></math></span>. Here, we revisit the formulation of the CKN entropy bound and compare it with other bounds. The specific characteristics of each bound are shown to depend on the underlying scaling of entropy. Notably, employing a non-extensive scaling with the von Neumann entropy definition yields a more stringent constraint, <span><math><mrow><msub><mrow><mi>S</mi></mrow><mrow><mtext>max</mtext></mrow></msub><mo>≈</mo><msqrt><mrow><msub><mrow><mi>S</mi></mrow><mrow><mtext>BH</mtext></mrow></msub></mrow></msqrt></mrow></math></span>, where <span><math><msub><mrow><mi>S</mi></mrow><mrow><mtext>BH</mtext></mrow></msub></math></span> is the Bekenstein–Hawking entropy. We also clarify distinctions between the IR cut-offs used in these frameworks. Moving to the causal entropy bound, we demonstrate that it categorises the CKN bound as matter-like, the von Neumann bound as radiation-like, and the Bekenstein bound as black hole-like systems when saturated. Emphasising cosmological implications, we confirm the consistency between the bounds and the first laws of horizon thermodynamics. We then analyse the shortcomings in standard Holographic Dark Energy (HDE) models, highlighting the challenges in constructing HDE using <span><math><mrow><msup><mrow><mi>Λ</mi></mrow><mrow><mn>2</mn></mrow></msup><mi>L</mi><mo>≲</mo><msub><mrow><mi>M</mi></mrow><mrow><mi>p</mi></mrow></msub></mrow></math></span>. Specifically, using the Hubble function in HDE definitions introduces circular logic, causing dark energy to mimic the second dominant component rather than behaving as matter. We further illustrate that the potential for other IR cut-offs, like the future event horizon in an FLRW background or those involving derivatives of the Hubble function, to explain late-time acceleration stems from an integration constant that cannot be trivially set to zero. In brief, the CKN relation does not assign an arbitrary cosmological constant; it explains why its value is small.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"482 ","pages":"Article 170231"},"PeriodicalIF":3.0,"publicationDate":"2025-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145099717","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 : 2025-09-17DOI: 10.1016/j.aop.2025.170227
Yuan Xiang, Rui Guo
In this paper, we consider wave breaking problem for the photon fluid propagating along a stationary medium with its profile characterized by a cubic root shape with account of third-order dispersion and self-steepening effects. Using the finite-band integral method and averaging conservation laws, we derive the periodic solution and the corresponding Whitham equation, respectively. Based on Whitham modulation theory, the dispersive shock wave (DSW) can be approximately represented as a modulated periodic solution with correct phase shift. The motion laws of the DSW at the soliton edge and small-amplitude edge can be analyzed separately. Furthermore, utilizing time reversibility, wave-breaking phenomena and wave structures are explored across distinct parameter spaces of and in the optical field. Additionally, the impacts of the third-order dispersion and self-steepening effects — both governed by — on the evolution of wave structures are examined.
{"title":"The general cubic wave breaking problem for the photon fluid: Third-order dispersion and self-steepening effects","authors":"Yuan Xiang, Rui Guo","doi":"10.1016/j.aop.2025.170227","DOIUrl":"10.1016/j.aop.2025.170227","url":null,"abstract":"<div><div>In this paper, we consider wave breaking problem for the photon fluid propagating along a stationary medium with its profile characterized by a cubic root shape with account of third-order dispersion and self-steepening effects. Using the finite-band integral method and averaging conservation laws, we derive the periodic solution and the corresponding Whitham equation, respectively. Based on Whitham modulation theory, the dispersive shock wave (DSW) can be approximately represented as a modulated periodic solution with correct phase shift. The motion laws of the DSW at the soliton edge and small-amplitude edge can be analyzed separately. Furthermore, utilizing time reversibility, wave-breaking phenomena and wave structures are explored across distinct parameter spaces of <span><math><mi>α</mi></math></span> and <span><math><mi>β</mi></math></span> in the optical field. Additionally, the impacts of the third-order dispersion and self-steepening effects — both governed by <span><math><mi>β</mi></math></span> — on the evolution of wave structures are examined.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"482 ","pages":"Article 170227"},"PeriodicalIF":3.0,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145099715","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 : 2025-09-15DOI: 10.1016/j.aop.2025.170226
Said Lantigua , Jonas Maziero
This paper develops a geometrodynamic extension of Bohmian mechanics to describe quantum tunneling through a potential barrier, treating particle trajectories as geodesics in an Alcubierre-type spacetime. The model provides analytical expressions for the quantum potential, particle dynamics, and tunneling time, explicitly linked to the underlying spacetime geometry. For narrow barriers, the tunneling time depends on the barrier width, while for sufficiently wide barriers, it saturates to a constant value—recovering the Hartman effect. This behavior arises from a geometric self-regulation mechanism, where the quantum potential dynamically adjusts the spacetime distortion to maintain a fixed tunneling time, consistent with relativistic causality despite effective superluminal propagation. The results establish a direct connection between quantum tunneling and spacetime geometry, offering a unified framework to interpret the Hartman effect. This approach naturally incorporates relativistic constraints while suggesting that similar geometric mechanisms may underlie other quantum phenomena, such as topological phases in condensed matter systems.
{"title":"Hartman effect from a geometrodynamic extension of Bohmian mechanics","authors":"Said Lantigua , Jonas Maziero","doi":"10.1016/j.aop.2025.170226","DOIUrl":"10.1016/j.aop.2025.170226","url":null,"abstract":"<div><div>This paper develops a geometrodynamic extension of Bohmian mechanics to describe quantum tunneling through a potential barrier, treating particle trajectories as geodesics in an Alcubierre-type spacetime. The model provides analytical expressions for the quantum potential, particle dynamics, and tunneling time, explicitly linked to the underlying spacetime geometry. For narrow barriers, the tunneling time depends on the barrier width, while for sufficiently wide barriers, it saturates to a constant value—recovering the Hartman effect. This behavior arises from a geometric self-regulation mechanism, where the quantum potential dynamically adjusts the spacetime distortion to maintain a fixed tunneling time, consistent with relativistic causality despite effective superluminal propagation. The results establish a direct connection between quantum tunneling and spacetime geometry, offering a unified framework to interpret the Hartman effect. This approach naturally incorporates relativistic constraints while suggesting that similar geometric mechanisms may underlie other quantum phenomena, such as topological phases in condensed matter systems.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"482 ","pages":"Article 170226"},"PeriodicalIF":3.0,"publicationDate":"2025-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145217181","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 : 2025-09-14DOI: 10.1016/j.aop.2025.170225
Meng-Dong Zhu , Yu-Hao Wang , Shi-Pu Gu , Xing-Fu Wang , Lan Zhou , Yu-Bo Sheng
Multipartite high-dimensional entanglement offers a larger space for storing and processing quantum information and is the crucial resource in future high-capacity and high-security quantum networks. The high-efficiency generation of multipartite high-dimensional entanglement is of central importance for its application. In the paper, we propose a recyclable generation protocol for the four-photon three-dimensional spatial-path Greenberger–Horne–Zeilinger (GHZ) state with linear optical elements and practical “on-off” photon detectors. Our protocol is feasible under current experimental conditions, and the generated three-dimensional GHZ state can be preserved for applications. When the generation protocol fails, the output state may evolve into the auxiliary state for the next generation round. In this way, our protocol can effectively save precious EPR resources. With the increase of repeating number, our protocol will have a prominent advantage in saving precious entanglement resources. Our protocol can provide effective guidance for the experimental preparation of the three-dimensional spatial-path GHZ state, and has important application in future multipartite high-dimensional quantum networks.
{"title":"Efficient recyclable generation protocol for high-dimensional spatial-path GHZ states","authors":"Meng-Dong Zhu , Yu-Hao Wang , Shi-Pu Gu , Xing-Fu Wang , Lan Zhou , Yu-Bo Sheng","doi":"10.1016/j.aop.2025.170225","DOIUrl":"10.1016/j.aop.2025.170225","url":null,"abstract":"<div><div>Multipartite high-dimensional entanglement offers a larger space for storing and processing quantum information and is the crucial resource in future high-capacity and high-security quantum networks. The high-efficiency generation of multipartite high-dimensional entanglement is of central importance for its application. In the paper, we propose a recyclable generation protocol for the four-photon three-dimensional spatial-path Greenberger–Horne–Zeilinger (GHZ) state with linear optical elements and practical “on-off” photon detectors. Our protocol is feasible under current experimental conditions, and the generated three-dimensional GHZ state can be preserved for applications. When the generation protocol fails, the output state may evolve into the auxiliary state for the next generation round. In this way, our protocol can effectively save precious EPR resources. With the increase of repeating number, our protocol will have a prominent advantage in saving precious entanglement resources. Our protocol can provide effective guidance for the experimental preparation of the three-dimensional spatial-path GHZ state, and has important application in future multipartite high-dimensional quantum networks.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"482 ","pages":"Article 170225"},"PeriodicalIF":3.0,"publicationDate":"2025-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145099713","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 : 2025-09-14DOI: 10.1016/j.aop.2025.170233
Hari Prasad Saikia , Mrinnoy M. Gohain , Kalyan Bhuyan
We study the nature of particle geodesics around a non-linear electrodynamic black hole (NLED-BH) inspired by the confinement of a heavy quark-antiquark system, which reduces to Maxwell’s linear electrodynamics theory at the strong field regime. The corrected BH solution is a special generalisation of the Schwarzschild BH at the linear regime. Such a type of corrected system is parameterised by a charge parameter along with a non-linear electrodynamic term . To be specific, we studied the geodesic behaviour of massless null particles through the geodesic equations using the backward ray-tracing method. We also investigated how NLED effects in charged BH spacetimes affect timelike particle orbits, specifically properties like precession frequency and orbital velocity around the NLED BH. Furthermore, to extend the analysis to the rotating case, we used the modified Newman-Janis algorithm to generate the rotating analogue of the NLED BH. We then analysed the ergosphere formation and shadow cast by the rotating analogue of the NLED BH.
{"title":"Dynamics of geodesics in non-linear electrodynamics corrected black hole and shadows of its rotating analogue","authors":"Hari Prasad Saikia , Mrinnoy M. Gohain , Kalyan Bhuyan","doi":"10.1016/j.aop.2025.170233","DOIUrl":"10.1016/j.aop.2025.170233","url":null,"abstract":"<div><div>We study the nature of particle geodesics around a non-linear electrodynamic black hole (NLED-BH) inspired by the confinement of a heavy quark-antiquark system, which reduces to Maxwell’s linear electrodynamics theory at the strong field regime. The corrected BH solution is a special generalisation of the Schwarzschild BH at the linear regime. Such a type of corrected system is parameterised by a charge parameter along with a non-linear electrodynamic term <span><math><mi>ζ</mi></math></span>. To be specific, we studied the geodesic behaviour of massless null particles through the geodesic equations using the backward ray-tracing method. We also investigated how NLED effects in charged BH spacetimes affect timelike particle orbits, specifically properties like precession frequency and orbital velocity around the NLED BH. Furthermore, to extend the analysis to the rotating case, we used the modified Newman-Janis algorithm to generate the rotating analogue of the NLED BH. We then analysed the ergosphere formation and shadow cast by the rotating analogue of the NLED BH.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"482 ","pages":"Article 170233"},"PeriodicalIF":3.0,"publicationDate":"2025-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145099714","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 : 2025-09-11DOI: 10.1016/j.aop.2025.170184
Jonathan de la Cruz-Hernandez, David J. Fernández C.
External magnetic field profiles leading to equidistant and partially equidistant bilayer graphene spectra within the tight-binding model are obtained. This is achieved by implementing the integral and differential versions of the second-order confluent algorithm to the harmonic oscillator for arbitrary real factorization energies. Additionally, new Barut–Girardello and Gilmore–Perelomov coherent states for bilayer graphene are derived, for both diagonal and non-diagonal ladder operators. Their time evolution is analyzed, finding temporal stability and cyclic evolution in some cases. This fact is contrasted with the non-cyclic evolution of bilayer graphene coherent states obtained when using two different factorization energies. Likewise, the geometric phase and uncertainty product of the quadratures for the previously obtained coherent states are studied.
{"title":"Confluent supersymmetric algorithm for bilayer graphene","authors":"Jonathan de la Cruz-Hernandez, David J. Fernández C.","doi":"10.1016/j.aop.2025.170184","DOIUrl":"10.1016/j.aop.2025.170184","url":null,"abstract":"<div><div>External magnetic field profiles leading to equidistant and partially equidistant bilayer graphene spectra within the tight-binding model are obtained. This is achieved by implementing the integral and differential versions of the second-order confluent algorithm to the harmonic oscillator for arbitrary real factorization energies. Additionally, new Barut–Girardello and Gilmore–Perelomov coherent states for bilayer graphene are derived, for both diagonal and non-diagonal ladder operators. Their time evolution is analyzed, finding temporal stability and cyclic evolution in some cases. This fact is contrasted with the non-cyclic evolution of bilayer graphene coherent states obtained when using two different factorization energies. Likewise, the geometric phase and uncertainty product of the quadratures for the previously obtained coherent states are studied.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"482 ","pages":"Article 170184"},"PeriodicalIF":3.0,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145099712","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 : 2025-09-11DOI: 10.1016/j.aop.2025.170211
Fang Hui , Fang Wang , Pu Tu , Xiao-Fei Zhang
We consider a two-component rotating dipolar Bose gas with spin–orbit coupling trapped in a two-dimensional harmonic potential. Our results show that the ground state phases and its related vortex structures of such a system shows strong dependence on the strength of spin–orbit coupling, dipole–dipole interaction, as well as on the rotation frequency. Under the combined effects of such parameters, the system exhibits a variety of ground state phases and topological defects, such as hidden vortex, vortex necklace, vortex chains with different symmetry, and so on. In addition, different phase transitions between such different ground state phases can be realized by a proper choice of the controllable parameters.
{"title":"Equilibrium vortex lattices of a rotating dipolar Bose gas with spin–orbit coupling","authors":"Fang Hui , Fang Wang , Pu Tu , Xiao-Fei Zhang","doi":"10.1016/j.aop.2025.170211","DOIUrl":"10.1016/j.aop.2025.170211","url":null,"abstract":"<div><div>We consider a two-component rotating dipolar Bose gas with spin–orbit coupling trapped in a two-dimensional harmonic potential. Our results show that the ground state phases and its related vortex structures of such a system shows strong dependence on the strength of spin–orbit coupling, dipole–dipole interaction, as well as on the rotation frequency. Under the combined effects of such parameters, the system exhibits a variety of ground state phases and topological defects, such as hidden vortex, vortex necklace, vortex chains with different symmetry, and so on. In addition, different phase transitions between such different ground state phases can be realized by a proper choice of the controllable parameters.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"482 ","pages":"Article 170211"},"PeriodicalIF":3.0,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145060616","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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