Communications in Mathematical Physics最新文献_第3页

On Distributional Symmetries on the CAR Algebra 关于CAR代数上的分布对称性

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-10-03 DOI: 10.1007/s00220-025-05457-5

Vitonofrio Crismale, Simone Del Vecchio, Stefano Rossi

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Information Geometry for Types in the Large-n Limit of Random Matrices 随机矩阵大n极限类型的信息几何

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-10-03 DOI: 10.1007/s00220-025-05451-x

David Jekel

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Linear Stability of Schwarzschild–Anti-de Sitter Spacetimes III: Quasimodes and Sharp Decay of Gravitational Perturbations Schwarzschild-Anti-de Sitter时空III的线性稳定性：引力摄动的准模和急剧衰减

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-10-03 DOI: 10.1007/s00220-025-05453-9

Olivier Graf, Gustav Holzegel

{"title":"Linear Stability of Schwarzschild–Anti-de Sitter Spacetimes III: Quasimodes and Sharp Decay of Gravitational Perturbations","authors":"Olivier Graf, Gustav Holzegel","doi":"10.1007/s00220-025-05453-9","DOIUrl":"10.1007/s00220-025-05453-9","url":null,"abstract":"<div>In this last part of the series we prove that the slow (inverse logarithmic) decay in time of solutions to the linearised Einstein equations on Schwarzschild–Anti-de Sitter backgrounds obtained in Graf and Holzegel (Linear stability of Schwarzschild–Anti-de sitter spacetimes I: the system of gravitational perturbations. arXiv:2408.02251, 2024) and Graf and Holzegel (Linear stability of Schwarzschild–Anti-de sitter spacetimes II: logarithmic decay of solutions to the Teukolsky system. arXiv:2408.02252, 2024) is in fact optimal by constructing quasimode solutions for the Teukolsky system. The main difficulties compared with the case of the scalar wave equation treated in earlier works arise from the first order terms in the Teukolsky equation, the coupling of the Teukolsky quantities at the conformal boundary and ensuring that the relevant quasimode solutions satisfy the Teukolsky–Starobinsky relations. The proof invokes a quasimode construction for the corresponding Regge–Wheeler system (which can be fully decoupled at the expense of a higher order boundary condition) and a reverse Chandrasekhar transformation which generates solutions of the Teukolsky system from solutions of the Regge–Wheeler system. Finally, we provide a general discussion of the well-posedness theory for the higher order boundary conditions that typically appear in the process of decoupling.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 11","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05453-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145204660","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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}

引用次数: 0

Entanglement Cost for Infinite-Dimensional Physical Systems 无限维物理系统的纠缠代价

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-10-03 DOI: 10.1007/s00220-025-05431-1

Hayata Yamasaki, Kohdai Kuroiwa, Patrick Hayden, Ludovico Lami

{"title":"Entanglement Cost for Infinite-Dimensional Physical Systems","authors":"Hayata Yamasaki, Kohdai Kuroiwa, Patrick Hayden, Ludovico Lami","doi":"10.1007/s00220-025-05431-1","DOIUrl":"10.1007/s00220-025-05431-1","url":null,"abstract":"<div>We prove that the entanglement cost equals the regularized entanglement of formation for any infinite-dimensional quantum state (rho _{AB}) with finite quantum entropy on at least one of the subsystems A or B. This generalizes a foundational result in quantum information theory that was previously formulated only for operations and states on finite-dimensional systems. The extension to infinite-dimensional systems is nontrivial because the conventional tools for establishing both the direct and converse bounds, i.e., strong typicality, monotonicity, and asymptotic continuity, are no longer directly applicable. To address this problem, we construct a new entanglement dilution protocol for infinite-dimensional states implementable by local operations and a finite amount of one-way classical communication (one-way LOCC), using weak and strong typicality multiple times. We also prove the optimality of this protocol among all protocols, even under infinite-dimensional separable operations, by developing an argument based on alternative forms of monotonicity and asymptotic continuity of the entanglement of formation for infinite-dimensional states. Along the way, we derive a new integral representation for the quantum entropy of infinite-dimensional states, which we believe to be of independent interest. Our results allow us to fully characterize an important operational entanglement measure—the entanglement cost—for all infinite-dimensional physical systems.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 11","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05431-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145204671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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}

引用次数: 0

Eigenstates and Spectral Projection for Quantized Baker’s Map 量化贝克映射的特征态和谱投影

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-10-03 DOI: 10.1007/s00220-025-05440-0

Laura Shou

引用次数: 0

Periodicity of Atomic Structure in a Thomas-Fermi Mean-Field Model Thomas-Fermi平均场模型中原子结构的周期性

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-10-03 DOI: 10.1007/s00220-025-05418-y

August Bjerg, Jan Philip Solovej

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Energy Cascades and Condensation via Coherent Dynamics in Hamiltonian Systems 哈密顿系统相干动力学中的能量级联和凝聚

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-10-03 DOI: 10.1007/s00220-025-05449-5

Anxo Biasi, Patrick Gérard

引用次数: 0

Non-trivial Fixed Point of a (psi ^4_d) Fermionic Theory, II: Anomalous Exponent and Scaling Operators (psi ^4_d)费米子理论的非平凡不动点，II：异常指数算子和标度算子

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-09-11 DOI: 10.1007/s00220-025-05414-2

Alessandro Giuliani, Vieri Mastropietro, Slava Rychkov, Giuseppe Scola

{"title":"Non-trivial Fixed Point of a (psi ^4_d) Fermionic Theory, II: Anomalous Exponent and Scaling Operators","authors":"Alessandro Giuliani, Vieri Mastropietro, Slava Rychkov, Giuseppe Scola","doi":"10.1007/s00220-025-05414-2","DOIUrl":"10.1007/s00220-025-05414-2","url":null,"abstract":"<div>We consider the Renormalization Group (RG) fixed-point theory associated with a fermionic (psi ^4_d) model in (d=1,2,3) with fractional kinetic term, whose scaling dimension is fixed so that the quartic interaction is weakly relevant in the RG sense. The model is defined in terms of a Grassmann functional integral with interaction (V^*), solving a fixed-point RG equation in the presence of external fields, and a fixed ultraviolet cutoff. We define and construct the field and density scale-invariant response functions, and prove that the critical exponent of the former is the naive one, while that of the latter is anomalous and analytic. We construct the corresponding (almost-)scaling operators, whose two point correlations are scale-invariant up to a remainder term, which decays like a stretched exponential at distances larger than the inverse of the ultraviolet cutoff. Our proof is based on constructive RG methods and, specifically, on a convergent tree expansion for the generating function of correlations, which generalizes the approach developed by three of the authors in a previous publication (Giuliani et al. in JHEP 01:026, 2021. https://doi.org/10.1007/JHEP01(2021)026. arXiv:2008.04361 [hep-th]).</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 10","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05414-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145037411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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}

引用次数: 0

Bounds on the Ground State Energy of Quantum p-Spin Hamiltonians 量子p-自旋哈密顿量基态能量的边界

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-09-01 DOI: 10.1007/s00220-025-05412-4

Eric R. Anschuetz, David Gamarnik, Bobak T. Kiani

{"title":"Bounds on the Ground State Energy of Quantum p-Spin Hamiltonians","authors":"Eric R. Anschuetz, David Gamarnik, Bobak T. Kiani","doi":"10.1007/s00220-025-05412-4","DOIUrl":"10.1007/s00220-025-05412-4","url":null,"abstract":"<div>We consider the problem of estimating the ground state energy of quantum p-local spin glass random Hamiltonians, the quantum analogues of widely studied classical spin glass models. Our main result shows that the maximum energy achievable by product states has a well-defined limit (for even p) as (nrightarrow infty ) and is (E_{text {product}}^*=sqrt{2 log p}) in the limit of large p. This value is interpreted as the maximal energy of a much simpler so-called Random Energy Model, widely studied in the setting of classical spin glasses. The proof of the limit existing follows from an extension of Fekete’s Lemma after we demonstrate near super-additivity of the (normalized) quenched free energy. The proof of the value follows from a second moment method on the number of states achieving a given energy when restricting to an (epsilon )-net of product states. Furthermore, we relate the maximal energy achieved over all states to a p-dependent constant (gamma left( pright) ), which is defined by the degree of violation of a certain asymptotic dependence ansatz over graph matchings. We show that the maximal energy achieved by all states (E^*left( pright) ) in the limit of large n is at most (sqrt{gamma left( pright) }E_{text {product}}^*). We also prove using Lindeberg’s interpolation method that the limiting (E^*left( pright) ) is robust with respect to the choice of the randomness and, for instance, also applies to the case of sparse random Hamiltonians. This robustness in the randomness extends to a wide range of random Hamiltonian models including SYK and random quantum max-cut.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 10","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144923087","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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}

引用次数: 0

Anomalous Symmetries of Quantum Spin Chains and a Generalization of the Lieb–Schultz–Mattis Theorem 量子自旋链的反常对称性及利布-舒尔茨-马蒂斯定理的推广

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-09-01 DOI: 10.1007/s00220-025-05422-2

Anton Kapustin, Nikita Sopenko

引用次数: 0