Communications in Mathematical Physics最新文献_第10页

Quantum Differential Equation Solvers: Limitations and Fast-Forwarding 量子微分方程求解器：限制和快速推进

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-07-02 DOI: 10.1007/s00220-025-05358-7

Dong An, Jin-Peng Liu, Daochen Wang, Qi Zhao

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引用次数: 0

Limit Fluctuations of Stationary Measure of Totally Asymmetric Simple Exclusion Process with Open Boundaries on the Coexistence Line 共存线上开边界的完全不对称简单不相容过程平稳测度的极限涨落

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-07-02 DOI: 10.1007/s00220-025-05374-7

Włodzimierz Bryc, Joseph Najnudel, Yizao Wang

引用次数: 0

Fourier Dimension of Mandelbrot Multiplicative Cascades Mandelbrot乘法级联的傅立叶维数

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-07-02 DOI: 10.1007/s00220-025-05354-x

Changhao Chen, Bing Li, Ville Suomala

引用次数: 0

A Runge-Type Approximation Theorem for the 3D Unsteady Stokes System 三维非定常Stokes系统的龙格近似定理

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-07-02 DOI: 10.1007/s00220-025-05364-9

Mitsuo Higaki, Franck Sueur

引用次数: 0

Rapid Thermalization of Dissipative Many-Body Dynamics of Commuting Hamiltonians 可交换哈密顿量耗散多体动力学的快速热化

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-07-02 DOI: 10.1007/s00220-025-05353-y

Jan Kochanowski, Álvaro M. Alhambra, Ángela Capel, Cambyse Rouzé

{"title":"Rapid Thermalization of Dissipative Many-Body Dynamics of Commuting Hamiltonians","authors":"Jan Kochanowski, Álvaro M. Alhambra, Ángela Capel, Cambyse Rouzé","doi":"10.1007/s00220-025-05353-y","DOIUrl":"10.1007/s00220-025-05353-y","url":null,"abstract":"<div>Quantum systems typically reach thermal equilibrium rather quickly when coupled to a thermal environment. The usual way of bounding the speed of this process is by estimating the spectral gap of the dissipative generator. However the gap, by itself, does not always yield a reasonable estimate for the thermalization time in many-body systems: without further structure, a uniform lower bound on it only constrains the thermalization time to grow polynomially with system size. Here, instead, we show that for a large class of geometrically-2-local models of Davies generators with commuting Hamiltonians, the thermalization time is much shorter than one would naïvely estimate from the gap: at most logarithmic in the system size. This yields the so-called rapid mixing of dissipative dynamics. The result is particularly relevant for 1D systems, for which we prove rapid thermalization with a system size independent decay rate only from a positive gap in the generator. We also prove that systems in hypercubic lattices of any dimension, and exponential graphs, such as trees, have rapid mixing at high enough temperatures. We do this by introducing a novel notion of clustering which we call “strong local indistinguishability” based on a max-relative entropy, and then proving that it implies a lower bound on the modified logarithmic Sobolev inequality (MLSI) for nearest neighbour commuting models. This has consequences for the rate of thermalization towards Gibbs states, and also for their relevant Wasserstein distances and transportation cost inequalities. Along the way, we show that several measures of decay of correlations on Gibbs states of commuting Hamiltonians are equivalent, a result of independent interest. At the technical level, we also show a direct relation between properties of Davies and Schmidt dynamics, that allows to transfer results of thermalization between both.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 8","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05353-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161216","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

Finite-Time Blowup for Keller–Segel–Navier–Stokes System in Three Dimensions 三维Keller-Segel-Navier-Stokes系统的有限时间放大

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-07-02 DOI: 10.1007/s00220-025-05371-w

Zexing Li, Tao Zhou

引用次数: 0

On Quantum Ergodicity for Higher Dimensional Cat Maps 高维Cat映射的量子遍历性。

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-07-02 DOI: 10.1007/s00220-025-05350-1

Pär Kurlberg, Alina Ostafe, Zeev Rudnick, Igor E. Shparlinski

引用次数: 0

Local Descriptions of the Heterotic SU(3) Moduli Space 异质SU(3)模空间的局部描述

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-07-02 DOI: 10.1007/s00220-025-05309-2

Hannah de Lázari, Jason D. Lotay, Henrique N. Sá Earp, Eirik Eik Svanes

{"title":"Local Descriptions of the Heterotic SU(3) Moduli Space","authors":"Hannah de Lázari, Jason D. Lotay, Henrique N. Sá Earp, Eirik Eik Svanes","doi":"10.1007/s00220-025-05309-2","DOIUrl":"10.1007/s00220-025-05309-2","url":null,"abstract":"<div>The heterotic (textrm{SU}(3)) system, also known as the Hull–Strominger system, arises from compactifications of heterotic string theory to six dimensions. This paper investigates the local structure of the moduli space of solutions to this system on a compact 6-manifold X, using a vector bundle (Q=(T^{1,0}X)^* oplus {{textrm{End}}}(E) oplus T^{1,0}X), where (Erightarrow X) is the classical gauge bundle arising in the system. We establish that the moduli space has an expected dimension of zero. We achieve this by studying the deformation complex associated to a differential operator (bar{D}), which emulates a holomorphic structure on Q, and demonstrating an isomorphism between the two cohomology groups which govern the infinitesimal deformations and obstructions in the deformation theory for the system. We also provide a Dolbeault-type theorem linking these cohomology groups to Čech cohomology, a result which might be of independent interest, as well as potentially valuable for future research.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 8","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05309-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145160973","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

Rigidity of Stratospheric Travelling Waves 平流层行波的刚度。

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-07-02 DOI: 10.1007/s00220-025-05368-5

Adrian Constantin, Hua Shao, Hao Zhu

引用次数: 0

Near Linearity of the Macroscopic Hall Current Response in Infinitely Extended Gapped Fermion Systems 无限扩展间隙费米子系统中宏观霍尔电流响应的近线性。

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-07-02 DOI: 10.1007/s00220-025-05361-y

Marius Wesle, Giovann Marcelli, Tadahiro Miyao, Domenico Monaco, Stefan Teufel

{"title":"Near Linearity of the Macroscopic Hall Current Response in Infinitely Extended Gapped Fermion Systems","authors":"Marius Wesle, Giovann Marcelli, Tadahiro Miyao, Domenico Monaco, Stefan Teufel","doi":"10.1007/s00220-025-05361-y","DOIUrl":"10.1007/s00220-025-05361-y","url":null,"abstract":"<div>We consider an infinitely extended system of fermions on a d-dimensional lattice with (magnetic) translation-invariant short-range interactions. We further assume that the system has a gapped ground state. Physically, this is a model for the bulk of a generic topological insulator at zero temperature, and we are interested in the current response of such a system to a constant external electric field. Using the non-equilibrium almost-stationary states approach, we prove that the longitudinal current density induced by a constant electric field of strength (varepsilon ) is of order (mathcal {O}(varepsilon ^infty )), i.e. the system is an insulator in the usual sense. For the Hall current density we show instead that it is linear in (varepsilon ) up to terms of order (mathcal {O}(varepsilon ^infty )). The proportionality factor (sigma _textrm{H}) is by definition the Hall conductivity, and we show that it is given by a generalization of the well known double commutator formula to interacting systems. As a by-product of our results, we find that the Hall conductivity is constant within gapped phases, and that for (d=2) the relevant observable that “measures” the Hall conductivity in experiments, the Hall conductance, not only agrees with ( sigma _{textrm{H}}) in expectation up to (mathcal {O}(varepsilon ^infty )), but also has vanishing variance. A notable difference to several existing results on the current response in interacting fermion systems is that we consider a macroscopic system exposed to a small constant electric field, rather than to a small voltage drop.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 8","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12222344/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144574619","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