Annals of Physics最新文献

{"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}

{"title":"Hawking temperature and the inverse-radius scale of the horizon","authors":"Michael R.R. Good ,&nbsp;Yen Chin Ong","doi":"10.1016/j.aop.2024.169919","DOIUrl":"10.1016/j.aop.2024.169919","url":null,"abstract":"<div><div>The Hawking temperature of a Schwarzschild black hole can be heuristically derived by identifying the temperature with the inverse radius of the horizon up to a multiplicative constant. This does not work for more general black holes such as the Kerr and Reissner–Nordström solutions. Expounding on the details of how it fails to work nevertheless uncovers some connections with the “spring constant” of black holes and with black hole thermodynamics.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"474 ","pages":"Article 169919"},"PeriodicalIF":3.0,"publicationDate":"2025-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143097488","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":"Einstein manifolds with optical geometries of Kerr type","authors":"Masoud Ganji ,&nbsp;Cristina Giannotti ,&nbsp;Gerd Schmalz ,&nbsp;Andrea Spiro","doi":"10.1016/j.aop.2024.169908","DOIUrl":"10.1016/j.aop.2024.169908","url":null,"abstract":"<div><div>We classify the Ricci flat Lorentzian <span><math><mi>n</mi></math></span>-manifolds satisfying three particular conditions, encoding and combining some crucial features of the Kerr metrics and the Robinson-Trautman optical structures. We prove that: (a) If <span><math><mrow><mi>n</mi><mo>&gt;</mo><mn>4</mn></mrow></math></span>, there is no Lorentzian manifold satisfying the considered Kerr type conditions, in unexpected contrast with what occurs for the metrics satisfying (very similar) Taub-NUT type conditions; (b) If <span><math><mrow><mi>n</mi><mo>=</mo><mn>4</mn></mrow></math></span> there are two large classes of such Kerr type manifolds. Each class consists of manifolds fibering over open Riemann surfaces, equipped with a metric of constant Gaussian curvature <span><math><mrow><mi>κ</mi><mo>=</mo><mn>1</mn></mrow></math></span> or <span><math><mrow><mi>κ</mi><mo>=</mo><mo>−</mo><mn>1</mn></mrow></math></span>. The first class includes a three parameter family of metrics admitting real analytic extensions to <span><math><mrow><mrow><mo>(</mo><msup><mrow><mi>R</mi></mrow><mrow><mn>3</mn></mrow></msup><mo>∖</mo><mrow><mo>{</mo><mn>0</mn><mo>}</mo></mrow><mo>)</mo></mrow><mo>×</mo><mi>R</mi><mo>=</mo><mrow><mo>(</mo><msup><mrow><mi>S</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>×</mo><msub><mrow><mi>R</mi></mrow><mrow><mo>+</mo></mrow></msub><mo>)</mo></mrow><mo>×</mo><mi>R</mi></mrow></math></span> and a large class of other metrics not admitting this kind of extensions. The metrics of this first class admitting such extensions are all isometric to the well known Kerr metrics, with the three parameters corresponding to the three space-like components of the angular momentum of the gravitational field. The second class contains a subclass of metrics defined on <span><math><mrow><mrow><mo>(</mo><mi>D</mi><mo>×</mo><msub><mrow><mi>R</mi></mrow><mrow><mo>+</mo></mrow></msub><mo>)</mo></mrow><mo>×</mo><mi>R</mi></mrow></math></span>, where <span><math><mi>D</mi></math></span> is the Lobachevsky Poincaré disc. This subclass is in bijection with the holomorphic functions on <span><math><mi>D</mi></math></span> satisfying an appropriate open condition. These and other results are consequences of a very simple way to construct totally explicit examples of Ricci flat Lorentzian manifolds.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"474 ","pages":"Article 169908"},"PeriodicalIF":3.0,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143097491","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":"Generalized entropy implies varying-G: Horizon area dependent field equations and black hole-cosmology coupling","authors":"Hengxin Lü ,&nbsp;Sofia Di Gennaro ,&nbsp;Yen Chin Ong","doi":"10.1016/j.aop.2024.169914","DOIUrl":"10.1016/j.aop.2024.169914","url":null,"abstract":"<div><div>When the Bekenstein–Hawking entropy is modified, ambiguity often arises concerning whether the Hawking temperature or the thermodynamic mass should be modified. The common practice, however, is to keep the black hole solution the same as that in general relativity. On the other hand, if Jacobson’s method of deriving Einstein equations from thermodynamic is valid in the general settings, then given a generalized entropy one should first derive the corresponding modified gravity, and then look for the compatible black hole solution before investigating its thermodynamics. We comment on some properties and subtleties in this approach. In particular, we point out that generically generalized entropy would lead to a varying effective gravitational “constant” theory, in which <span><math><msub><mrow><mi>G</mi></mrow><mrow><mtext>eff</mtext></mrow></msub></math></span> depends on the horizon area. We discuss in what ways such theories are discernible from general relativity despite its seemingly jarring differences, and how to make sense of area-dependent field equations. As a consequence we show that in the Jacobson’s approach, the standard quantum gravitational logarithmic correction to Bekenstein–Hawking entropy is equivalent to a running gravitational “constant”. A horizon area dependent <span><math><msub><mrow><mi>G</mi></mrow><mrow><mtext>eff</mtext></mrow></msub></math></span> could also lead to a coupling between black hole masses and cosmological expansion, a scenario that has been studied recently in the literature, but so far lacks strong theoretical motivation. In the Tsallis case, we show that the thermodynamic mass for a Schwarzschild black hole is just a constant multiple of its ADM mass, which is considerably simpler than the approach not utilizing the Jacobson’s method.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"474 ","pages":"Article 169914"},"PeriodicalIF":3.0,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143097487","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":"Stable f(Q) gravity model through non-trivial connection","authors":"S.A. Narawade,&nbsp;Santosh V. Lohakare,&nbsp;B. Mishra","doi":"10.1016/j.aop.2024.169913","DOIUrl":"10.1016/j.aop.2024.169913","url":null,"abstract":"<div><div>This study effectively reconstructs a cosmological model utilizing covariant <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>Q</mi><mo>)</mo></mrow></mrow></math></span> gravity within Connection-III and FLRW spacetime. The dynamic behavior of the reconstructed model is thoroughly analyzed using the Hubble parameter <span><math><mrow><mi>H</mi><mrow><mo>(</mo><mi>z</mi><mo>)</mo></mrow></mrow></math></span> and various observational datasets. Our robust findings demonstrate that the model displays quintessence behavior at the present epoch and converges to the <span><math><mi>Λ</mi></math></span>CDM model at late time. It is confirmed through comprehensive evaluations against energy conditions that the Null Energy Condition remains positive throughout cosmic evolution, and the Dominant Energy Condition is consistently satisfied. The Strong Energy Condition is initially fulfilled in the early Universe but violated in the late epoch. Moreover, scalar perturbations extensively assess stability, affirming the strength of the model with respect to the Hubble parameter. This research offers compelling insights into cosmic acceleration, suggesting that <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>Q</mi><mo>)</mo></mrow></mrow></math></span> gravity can effectively displace the <span><math><mi>Λ</mi></math></span>CDM model and provides a convincing alternative explanation for the current accelerating expansion of the Universe without relying on the cosmological constant.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"474 ","pages":"Article 169913"},"PeriodicalIF":3.0,"publicationDate":"2025-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143097489","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":"Encoding quantum bits in bound electronic states of a graphene nanotorus","authors":"J. Furtado ,&nbsp;A.C.A. Ramos ,&nbsp;J.E.G. Silva ,&nbsp;R. Bachelard ,&nbsp;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}

{"title":"Null geodesics around a black hole with weakly coupled global monopole charge","authors":"Mohsen Fathi ,&nbsp;J.R. Villanueva ,&nbsp;Thiago R.P. Caramês ,&nbsp;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}

{"title":"Schwarzschild black hole surrounded by perfect fluid dark matter in the presence of quintessence matter field","authors":"B. Hamil ,&nbsp;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}

{"title":"Constraint on the equation of state of strange quark star: Perturbative QCD along with a density-dependent bag constant","authors":"J. Sedaghat,&nbsp;G.H. Bordbar,&nbsp;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>&gt;</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}