Annales Henri Poincaré最新文献

High-Density Hard-Core Model on Triangular and Hexagonal Lattices 三角形和六边形晶格上的高密度硬核模型

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-06-16 DOI: 10.1007/s00023-025-01567-x

A. Mazel, I. Stuhl, Y. Suhov

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引用次数: 0

Mean Eigenvector Self-Overlap in the Real and Complex Elliptic Ginibre Ensembles at Strong and Weak Non-Hermiticity 强、弱非密性下实数和复椭圆Ginibre系综的平均特征向量自重叠

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-03-21 DOI: 10.1007/s00023-024-01530-2

Mark J. Crumpton, Yan V. Fyodorov, Tim R. Würfel

{"title":"Mean Eigenvector Self-Overlap in the Real and Complex Elliptic Ginibre Ensembles at Strong and Weak Non-Hermiticity","authors":"Mark J. Crumpton, Yan V. Fyodorov, Tim R. Würfel","doi":"10.1007/s00023-024-01530-2","DOIUrl":"10.1007/s00023-024-01530-2","url":null,"abstract":"<div>We study the mean diagonal overlap of left and right eigenvectors associated with complex eigenvalues in (Ntimes N) non-Hermitian random Gaussian matrices. In a well-known work by Chalker and Mehlig the expectation of this (self-)overlap was computed for the complex Ginibre ensemble as (Nrightarrow infty ) (Chalker and Mehlig in Phys Rev Lett 81(16):3367–3370, 1998). In the present work, we consider the same quantity in the real and complex elliptic Ginibre ensembles, which are characterised by correlations between off-diagonal entries controlled by a parameter (tau in [0,1]), with (tau =1) corresponding to the Hermitian limit. We derive exact expressions for the mean diagonal overlap in both ensembles at any finite N, for any eigenvalue off the real axis. We further investigate several scaling regimes as (Nrightarrow infty ), both in the limit of strong non-Hermiticity keeping a fixed (tau in [0,1)) and in the weak non-Hermiticity limit, with (tau ) approaching unity in such a way that (N(1-tau )) remains finite.</div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"26 6","pages":"2069 - 2116"},"PeriodicalIF":1.3,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-024-01530-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167319","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}

引用次数: 0

Ergodic and Non-Ergodic Phenomena in One-Dimensional Random Processes: Exploring Unconventional State Transitions 一维随机过程中的遍历与非遍历现象：探索非常规状态转换

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-02-28 DOI: 10.1007/s00023-025-01554-2

A. D. Ramos, C. S. Sousa, L. P. Cavalcanti

引用次数: 0

Almost Sure GOE Fluctuations of Energy Levels for Hyperbolic Surfaces of High Genus 高属双曲曲面能级的几乎肯定GOE涨落。

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-02-22 DOI: 10.1007/s00023-025-01552-4

Zeév Rudnick, Igor Wigman

引用次数: 0

Pleijel’s Theorem for Schrödinger Operators Schrödinger算子的Pleijel定理

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-02-19 DOI: 10.1007/s00023-024-01536-w

Philippe Charron, Corentin Léna

引用次数: 0

Secular Growths and Their Relation to Equilibrium States in Perturbative QFT 摄动QFT中长期增长及其与平衡态的关系

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-01-22 DOI: 10.1007/s00023-024-01526-y

Stefano Galanda, Nicola Pinamonti, Leonardo Sangaletti

{"title":"Secular Growths and Their Relation to Equilibrium States in Perturbative QFT","authors":"Stefano Galanda, Nicola Pinamonti, Leonardo Sangaletti","doi":"10.1007/s00023-024-01526-y","DOIUrl":"10.1007/s00023-024-01526-y","url":null,"abstract":"<div>In the perturbative treatment of interacting quantum field theories, if the interaction Lagrangian changes adiabatically in a finite interval of time, secular growths may appear in the truncated perturbative series also when the interaction Lagrangian density is returned to be constant. If this happens, the perturbative approach does not furnish reliable results in the evaluation of scattering amplitudes or expectation values. In this paper we show that these effects can be avoided for adiabatically switched-on interactions, if the spatial support of the interaction is compact and if the background state is suitably chosen. We start considering equilibrium background states and show that, when thermalisation occurs (interaction Lagrangian of spatial compact support), secular effects are avoided. Furthermore, no secular effects pop up if the limit where the Lagrangian is supported everywhere in space is taken after thermalisation (large time limit), in contrast to the reversed order. This result is generalized showing that if the interaction Lagrangian is spatially compact, secular growths are avoided for generic background states which are only invariant under time translation and to states whose explicit dependence of time is not too strong. Finally, as an application, the presented theorems are used to study a complex scalar and a Dirac field, on a background KMS state, in a classical external electromagnetic potential and the contribution to the two point-function given by a generic loop diagram arising from a second order perturbative expansion.</div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"26 11","pages":"4141 - 4203"},"PeriodicalIF":1.3,"publicationDate":"2025-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-024-01526-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145248331","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}

引用次数: 0

Decoherence is an Echo of Anderson Localization in Open Quantum Systems 退相干是开放量子系统中安德森局域化的一种回波

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-01-18 DOI: 10.1007/s00023-024-01528-w

Frederik Ravn Klausen, Simone Warzel

引用次数: 0

On the Existence of Charged Electrostatic Black Holes in Arbitrary Topology 关于任意拓扑中带电静电黑洞的存在性

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-01-16 DOI: 10.1007/s00023-024-01534-y

Martín Reiris

{"title":"On the Existence of Charged Electrostatic Black Holes in Arbitrary Topology","authors":"Martín Reiris","doi":"10.1007/s00023-024-01534-y","DOIUrl":"10.1007/s00023-024-01534-y","url":null,"abstract":"<div>The general classification of (3+1)-static black hole solutions of the Einstein equations, with or without matter, is central in general relativity and important in geometry. In the realm of (textrm{S}^{1})-symmetric vacuum spacetimes, a recent classification proved that, without restrictions on the topology or the asymptotic behavior, black hole solutions can be only of three kinds: (i) Schwarzschild black holes, (ii) Boost black holes or (iii) Myers–Korotkin–Nicolai black holes, each one having its distinct asymptotic and topological type. In contrast to this, very little is known about the general classification of (textrm{S}^{1})-symmetric static electrovacuum black holes although examples show that, on the large picture, there should be striking differences with respect to the vacuum case. A basic question then is whether or not there are charged analogs to the static vacuum black holes of types (i), (ii) and (iii). In this article, we prove the remarkable fact that, while one can ‘charge’ the Schwarzschild solution (resulting in a Reissner–Nordström spacetime) preserving the asymptotic, one cannot do the same to the Boosts and to the Myers–Korotkin–Nicolai solutions: The addition of a small or large electric charge, if possible at all, would transform entirely their asymptotic behavior. In particular, such vacuum solutions cannot be electromagnetically perturbed. The results of this paper are consistent but go far beyond the works of Karlovini and Von Unge on periodic analogs of the Reissner–Nordström black holes. The type of result as well as the techniques used is based on comparison geometry a la Bakry–Émery and appears to be entirely novel in this context. The findings point to a complex interplay between asymptotic, topology and charge in spacetime dimension (3+1), markedly different from what occurs in higher dimensions.</div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"26 11","pages":"4051 - 4069"},"PeriodicalIF":1.3,"publicationDate":"2025-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145248325","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}

引用次数: 0

Effective Polaron Dynamics of an Impurity Particle Interacting with a Fermi Gas 杂质粒子与费米气体相互作用的有效极化子动力学

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-01-13 DOI: 10.1007/s00023-024-01532-0

Duc Viet Hoang, Peter Pickl

引用次数: 0

Gluing Algebraic Quantum Field Theories on Manifolds 流形上的胶合代数量子场论

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-01-08 DOI: 10.1007/s00023-024-01529-9

Angelos Anastopoulos, Marco Benini

引用次数: 0