Annals of Physics最新文献

{"title":"Dynamical response and time correlation functions in random quantum systems","authors":"Sudhir Ranjan Jain ,&nbsp;Pierre Gaspard","doi":"10.1016/j.aop.2025.169922","DOIUrl":"10.1016/j.aop.2025.169922","url":null,"abstract":"<div><div>Time-dependent response and correlation functions are studied in random quantum systems composed of infinitely many parts without mutual interaction and defined with statistically independent random matrices. The latter are taken within the three Wigner–Dyson universality classes. In these systems, the response functions are shown to be exactly given by statistical averages over the random-matrix ensemble. Analytical results are obtained for the time dependence of the mean response and correlation functions at zero and positive temperatures. At long times, the mean correlation functions are shown to have a power-law decay for GOE at positive temperatures, but for GUE and GSE at zero temperature. Otherwise, the decay is much faster in time. In relation to these power-law decays, the associated spectral densities have a dip around zero frequency. The diagrammatic method is developed to obtain higher-order response functions and the third-order response function is explicitly calculated. The response to impulsive perturbations is also considered. In addition, the quantum fluctuations of the correlation function in individual members of the ensemble are characterised in terms of their probability distribution, which is shown to change with the temperature.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"474 ","pages":"Article 169922"},"PeriodicalIF":3.0,"publicationDate":"2025-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143141048","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}

{"title":"Induction of non-Fermi liquids by critical cavity photons at the onset of superradiance","authors":"Ipsita Mandal","doi":"10.1016/j.aop.2025.169925","DOIUrl":"10.1016/j.aop.2025.169925","url":null,"abstract":"<div><div>We investigate the emergence of a non-Fermi liquid (NFL) at a putative quantum critical point signalling the onset of superradiance, in a set-up involving cavity quantum electrodynamics. Although the finiteness of the cavity, being bounded by reflecting mirrors, endows the cavity photons with an effective mass, they become massless at the continuous phase-transition point. We consider the matter part coming from the fermions hopping on a honeycomb lattice near half-filling, featuring doped Dirac cones at two sets of inequivalent valleys. This choice is dictated by the presence of a fermion–boson interaction vertex, which can give rise to Landau damping of the critical bosons, eventually leading to an NFL phase for the fermions. To set up the quantum effective action, we identify the hot-spots of the generically anisotropic (trigonally-warped) Fermi surfaces, which give the sets of points having parallel/antiparallel tangent vectors. The cavity photons act as charge density wave (CDW) order parameters, connecting pairs of hot-spots belonging to the Fermi surface of a single valley. With these ingredients, we set upon identifying NFL phases, using the tools of dimensional regularization and renormalization-group-flow equations. Our final results indicate that stable NFL phases exist in the low-energy limit, for the projections of the flows along the CDW coupling constant.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"474 ","pages":"Article 169925"},"PeriodicalIF":3.0,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143097048","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}

{"title":"Darwinian quantum gravity cosmic inflation","authors":"Nicolas Lori","doi":"10.1016/j.aop.2024.169912","DOIUrl":"10.1016/j.aop.2024.169912","url":null,"abstract":"<div><div>Recent experimental data indicates that of the several approaches to Cosmic Inflation (CI), the most adequate approach is Starobinsky Inflation (SI) which uses a Jordan Frame (JF) where the gravitational constant depends on the quantum fields (QFs), which when transformed into an Einstein Frame (EF) obtains an Inflaton Field (IF) <span><math><mi>ϕ</mi></math></span>. To consider the role of decoherence in the IF <span><math><mi>ϕ</mi></math></span>, a Darwinian Quantum Gravity perspective called Physics-Cell (PC) approach is considered. In the PC approach, the physics occurs through a QF array <span><math><mi>Ψ</mi></math></span> within a 3D time-free medium through the emission and transmission of two types of QFs between PCs, QF array <span><math><mrow><mi>Δ</mi><mi>Ψ</mi></mrow></math></span> and QF scalar <span><math><mrow><mi>δ</mi><mi>Ψ</mi></mrow></math></span>. The <span><math><mrow><mi>Δ</mi><mi>Ψ</mi></mrow></math></span> are sent from the PCs based in the rules of the Standard Model of Physics (SMP) calculated within the PCs, the <span><math><mrow><mi>δ</mi><mi>Ψ</mi></mrow></math></span> is associated to the communication of the correction necessary to cancel the effects of the non-infinitesimal value of the PC time-step, and we propose here that <span><math><mrow><mi>δ</mi><mi>Ψ</mi><mo>≔</mo><mi>ϕ</mi></mrow></math></span>. The energy density of <span><math><mrow><mi>δ</mi><mi>Ψ</mi></mrow></math></span> is equal to dark energy’s density thus the IF <span><math><mi>ϕ</mi></math></span> energy density is the dark energy, which agrees with other works suggesting likewise. In PC approach, the gravitational effects occur through the transmission of the communication protocols between PCs by the averaging of <span><math><mrow><mi>Δ</mi><mi>Ψ</mi></mrow></math></span> correlations. This PC approach to CI obtains a reason for both start and end of CI, does not require initial conditions fine-tuning and has an approach to decoherence compatible with contemporary physics’ Quantum Darwinism.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"474 ","pages":"Article 169912"},"PeriodicalIF":3.0,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143097047","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}

{"title":"A class of charged-Taub-NUT-scalar metrics via Harison and Ehlers transformations","authors":"Mahnaz Tavakoli Kachi,&nbsp;Behrouz Mirza,&nbsp;Fatemeh Sadeghi","doi":"10.1016/j.aop.2025.169924","DOIUrl":"10.1016/j.aop.2025.169924","url":null,"abstract":"<div><div>We consider a class of axially symmetric solutions to Einstein’s equations incorporating a <span><math><mi>θ</mi></math></span>-dependent scalar field and extend these solutions by introducing electric and magnetic charges via Harrison transformations. Subsequently, we enhance the charged metrics by incorporating the NUT parameter through Ehlers transformations, yielding a novel class of charged-Taub-NUT metrics that represent exact solutions to Einstein’s equations. Finally, we investigate some of astrophysical aspects of the charged-Taub-NUT metrics, focusing on phenomena such as gravitational lensing and quasi-normal modes (QNMs).</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"474 ","pages":"Article 169924"},"PeriodicalIF":3.0,"publicationDate":"2025-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143097019","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}

{"title":"Transmission through Cantor structured Dirac comb potential","authors":"Mohammad Umar","doi":"10.1016/j.aop.2025.169923","DOIUrl":"10.1016/j.aop.2025.169923","url":null,"abstract":"<div><div>In this study, we introduce the Cantor-structured Dirac comb potential, referred to as the Cantor Dirac comb (CDC-<span><math><msub><mrow><mi>ρ</mi></mrow><mrow><mi>N</mi></mrow></msub></math></span>) potential system, and investigate non-relativistic quantum tunneling through this novel potential configuration. This system is engineered by positioning delta potentials at the boundaries of each rectangular potential segment of Cantor potential. This study is the first to investigate quantum tunneling through a fractal geometric Dirac comb potential. This potential system exemplifies a particular instance of the super periodic potential (SPP), a broader class of potentials that generalize locally periodic potentials. Utilizing the theoretical framework of SPP, we derived a closed-form expression for the transmission probability for this potential architecture. We report various transmission characteristics, including the appearance of band-like features and the scaling behavior of the reflection coefficient with wave vector <span><math><mi>k</mi></math></span>, which is governed by a scaling function expressed as a finite product of the Laue function. A particularly striking feature of the system is the occurrence of sharp transmission resonances, which may prove useful in applications such as highly sharp transmission filters.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"474 ","pages":"Article 169923"},"PeriodicalIF":3.0,"publicationDate":"2025-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143097021","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}

{"title":"Mean field decoupling of single impurity Anderson model through auxiliary Majorana fermions","authors":"Irakli Titvinidze ,&nbsp;Julian Stobbe ,&nbsp;Alexey N. Rubtsov ,&nbsp;Georg Rohringer","doi":"10.1016/j.aop.2024.169904","DOIUrl":"10.1016/j.aop.2024.169904","url":null,"abstract":"<div><div>We present a method to study the time evolution of the single impurity Anderson model which exploits a mean field decoupling of the interacting impurity and the non-interacting bath (in form of a chain). This is achieved by the introduction of a pair of auxiliary Majorana fermions between the impurity and the chain. After decoupling, we obtain a self-consistent set of equations for the impurity and chain. First, we study the behavior of the system in equilibrium at zero temperature. We observe a phase transition as a function of the interaction at the impurity and the coupling between the impurity and the chain between the Kondo regime, where the mean field parameters are zero and, hence, we have a well-defined spin at the impurity, to a phase where mean field parameters acquire finite values leading to a screening of the impurity spin by conduction bath electrons. In the latter case, we observe charge and spin fluctuations at the impurity site. Let us note that, while the sharp equilibrium phase transition is a feature of the mean field treatment of the problem it is likely to show itself as a crossover in an exact treatment of the problem. Starting from this equilibrium ground state at zero temperature we quench in the interaction strength at the impurity and/or the hybridization strength between the impurity and the chain and study the time evolution of the system. We find that for quenches to weak to intermediate coupling the system converges to the equilibrium state defined by the final set of parameters after the quench. We analyze the oscillation frequency and as well as the thermalization rate during this quench. A quench to a strong interaction value results in persistent oscillations and a trapping of the system in a non-thermal state. We speculate that these two regimes of different long-time behavior are separated by a dynamical phase transition. We, however, argue that, while our description of the weak to moderate correlated regimes is correct at all time scales, for large final interaction, our approximation is fully valid only at moderate time scale whereas persistent oscillations and related sharp phase transitions are likely artifacts of the mean field treatment of the problem (as in the equilibrium case).</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"474 ","pages":"Article 169904"},"PeriodicalIF":3.0,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143141051","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"General collisionless kinetic approach to studying excitations in arbitrary-spin quantum atomic gases","authors":"M. Bulakhov ,&nbsp;A.S. Peletminskii ,&nbsp;Yu.V. Slyusarenko","doi":"10.1016/j.aop.2025.169920","DOIUrl":"10.1016/j.aop.2025.169920","url":null,"abstract":"<div><div>We develop a general kinetic approach to studying high-frequency collective excitations in arbitrary-spin quantum gases. To this end, we formulate a many-body Hamiltonian that includes the multipolar exchange interaction as well as the coupling of a multipolar moment with an external field. By linearizing the respective collisionless kinetic equation, we find a general dispersion equation that allows us to examine the high-frequency collective modes for arbitrary-spin atoms obeying one or another quantum statistics. We analyze some of its particular solutions describing spin waves and zero sound for Bose and Fermi gases.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"474 ","pages":"Article 169920"},"PeriodicalIF":3.0,"publicationDate":"2025-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143097020","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}

{"title":"Modeling anisotropic dark energy self-gravitating stars satisfying the Karmarkar condition","authors":"Z. Yousaf ,&nbsp;S. Khan ,&nbsp;Mansour Shrahili ,&nbsp;A. Malik ,&nbsp;M.Z. Bhatti","doi":"10.1016/j.aop.2025.169921","DOIUrl":"10.1016/j.aop.2025.169921","url":null,"abstract":"<div><div>This article introduces a simplified model of static, spherical stellar systems interacting with anisotropic dark energy, using the Buchdahl model as the background metric potential. The notion of cosmic dark energy may serve as a potential mechanism to counteract the relativistic gravitational collapse of stellar distributions into singularities. Dark energy plays a vital role in shaping the cosmos on the largest scales, as it is the driving force behind the observed accelerated expansion. Therefore, it is reasonable to think that dark energy influences the kinematics of gravitationally bound stellar structures (Sakti and Sulaksono, 2021) [65]. Motivated by this, we introduce a self-gravitating stellar system model under the influence of dark energy, which incorporates both dark and ordinary matter. The model assumes a direct proportionality between the dark energy density and the perfect fluid density. We will then analyze the astrophysical features, including the regularity of the metric variables, density, pressure, mass–radius relationship, stability, dark energy parameters, and equilibrium conditions associated with the model. The model is promising due to its adherence to energy conditions and lack of a central singularity. By examining a mass–radius diagram, we have found the maximum mass limit for this type of star. Our results show that our suggested model corresponds to a feasible and physically realistic star structure that satisfies all stability criteria.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"474 ","pages":"Article 169921"},"PeriodicalIF":3.0,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143097022","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}

{"title":"A new basis- and integral-free approach to perturbation theory: The Schrödinger dynamics of N trapped ions in the high-intensity regime","authors":"A. Francisco Neto ,&nbsp;B.M. Villegas-Martínez","doi":"10.1016/j.aop.2024.169917","DOIUrl":"10.1016/j.aop.2024.169917","url":null,"abstract":"<div><div>A novel, basis- and integral-free perturbative method for the Dyson series describing Schrödinger dynamics in general is introduced. The <span><math><mi>N</mi></math></span> trapped ions in the high-intensity regime are addressed under this new approach. The approach is based on the Omega Matrix Calculus (OMC) which is rooted in the theory of partitions of natural numbers due to MacMahon. A key ingredient in our formalism comprises a new OMC representation to compute multiple integrals involving the matrix exponential, allowing for a simpler treatment using Omega calculus elimination rules and enhancing previous representations, such as the one by Francisco Neto (2020). This approach not only implies previous perturbative approaches based on divided-differences in Kalev and Hen (2021) and the matrix method in Villegas-Martínez et al. (2022), but also simplifies the derivation process and provides a closed-form expression for the <span><math><mi>n</mi></math></span>th term in the perturbative expansion solving previously open questions highlighted in prior works, including Villegas-Martínez et al. aforementioned work. Additionally, it reveals that the <span><math><mi>n</mi></math></span>th term in perturbation theory is governed by a generalized exponential function based on divided differences, which simplifies to the ordinary exponential for <span><math><mrow><mi>n</mi><mo>=</mo><mn>0</mn></mrow></math></span>. In specific cases, where <span><math><mrow><mi>N</mi><mo>=</mo><mn>1</mn></mrow></math></span>, <span><math><mrow><mi>n</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></math></span>, and the interaction term is time-independent, the results are consistent with those obtained by Villegas-Martínez et al.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"474 ","pages":"Article 169917"},"PeriodicalIF":3.0,"publicationDate":"2025-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143097486","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}

{"title":"Mapping Schwarzschild, de Sitter and anti-de Sitter spacetimes into flat spacetime systems with Kratzer potentials","authors":"M.D. de Oliveira,&nbsp;Alexandre G.M. Schmidt","doi":"10.1016/j.aop.2024.169918","DOIUrl":"10.1016/j.aop.2024.169918","url":null,"abstract":"<div><div>This work investigates a method to map systems with gravitational fields into non-relativistic flat spacetime ones. Considering a line element of the form <span><math><mrow><mi>d</mi><msup><mrow><mi>s</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>=</mo><msup><mrow><mi>e</mi></mrow><mrow><mn>2</mn><mi>f</mi><mrow><mo>(</mo><mi>r</mi><mo>)</mo></mrow></mrow></msup><mi>d</mi><msup><mrow><mi>t</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>−</mo><msup><mrow><mi>e</mi></mrow><mrow><mn>2</mn><mi>g</mi><mrow><mo>(</mo><mi>r</mi><mo>)</mo></mrow></mrow></msup><mi>d</mi><msup><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>−</mo><msup><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msup><mi>d</mi><msup><mrow><mi>θ</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>−</mo><msup><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msup><msup><mrow><mo>sin</mo></mrow><mrow><mn>2</mn></mrow></msup><mi>θ</mi><mi>d</mi><msup><mrow><mi>ϕ</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></math></span>, we constructed an external potential <span><math><mrow><mi>V</mi><mrow><mo>(</mo><mi>r</mi><mo>)</mo></mrow></mrow></math></span> in terms of the functions <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>r</mi><mo>)</mo></mrow></mrow></math></span> and <span><math><mrow><mi>g</mi><mrow><mo>(</mo><mi>r</mi><mo>)</mo></mrow></mrow></math></span>. We found that the non-relativistic wave function is written in terms of the relativistic wave function. As applications, we constructed non-relativistic analogous models, introducing external potentials for two types of static and non-rotating black holes: Schwarzschild, anti-de Sitter, and de Sitter. Finally, we analyzed the physics at the event horizon region for the black holes and cosmological horizon for the de Sitter spacetime, and the values coincide with those obtained for the case with a gravitational field in the relativistic regime.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"474 ","pages":"Article 169918"},"PeriodicalIF":3.0,"publicationDate":"2025-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143097023","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}