两本期刊 ANNALES DE L'INSTITUT HENRI POINCARÉ、PHYSIQUE THÉORIQUE 和 HELVETICA PHYSICAL ACTA 合并成一个新期刊，名为 ANNALES HENRI POINCARÉ - A JOURNAL OF THEORETICAL AND MATHEMATICAL PHYSICS，由 INSTITUT HENRI POINCARÉ 和瑞士物理学会联合编辑. 期刊的目标是通过收集和发表符合该领域最高专业标准的原创研究论文，为理论和数学物理的国际科学界服务，重点是广义的分析理论和数学物理。

The journal "Annales Henri Poincare" is a new publication formed by the merger of three journals: "ANNALES DE L'INSTITUT HENRI POINCARÉ", "PHYSIQUE THÉORIQUE", and "HELVETICA PHYSICAL ACTA". It is jointly edited by the INSTITUT HENRI POINCARÉ and the Swiss Physical Society. The journal aims to serve the international scientific community in theoretical and mathematical physics by collecting and publishing original research papers that meet the highest professional standards in the field, with a focus on general analysis theory and mathematical physics.

《Annales Henri Poincare》是由《ANNALES DE L'INSTITUT HENRI POINCARÉ》、《PHYSIQUE THÉORIQUE》和《HELVETICA PHYSICAL ACTA》三本期刊合并而成的新期刊。该期刊由INSTITUT HENRI POINCARÉ和瑞士物理学会联合编辑，旨在为理论和数学物理的国际科学界提供服务。期刊的目标是收集和发表符合该领域最高专业标准的原创研究论文，重点关注广义分析理论和数学物理。

Annales Henri Poincare

Andreas Bluhm

Angela Capel

Paul Gondolf

Tim Möbus

Annales Henri Poincaré

Unified Framework for Continuity of Sandwiched Rényi Divergences

夹层Rényi散度连续性的统一框架

Abstract We consider a closed macroscopic quantum system in a pure state $$\psi _t$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>ψ</mml:mi> <mml:mi>t</mml:mi> </mml:msub> </mml:math> evolving unitarily and take for granted that different macro states correspond to mutually orthogonal subspaces $${\mathcal {H}}_\nu $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>H</mml:mi> <mml:mi>ν</mml:mi> </mml:msub> </mml:math> (macro spaces) of Hilbert space, each of which has large dimension. We extend previous work on the question what the evolution of $$\psi _t$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>ψ</mml:mi> <mml:mi>t</mml:mi> </mml:msub> </mml:math> looks like macroscopically, specifically on how much of $$\psi _t$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>ψ</mml:mi> <mml:mi>t</mml:mi> </mml:msub> </mml:math> lies in each $${\mathcal {H}}_\nu $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>H</mml:mi> <mml:mi>ν</mml:mi> </mml:msub> </mml:math> . Previous bounds concerned the absolute error for typical $$\psi _0$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>ψ</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:math> and/or t and are valid for arbitrary Hamiltonians H ; now, we provide bounds on the relative error, which means much tighter bounds, with probability close to 1 by modeling H as a random matrix, more precisely as a random band matrix (i.e., where only entries near the main diagonal are significantly nonzero) in a basis aligned with the macro spaces. We exploit particularly that the eigenvectors of H are delocalized in this basis. Our main mathematical results confirm the two phenomena of generalized normal typicality (a type of long-time behavior) and dynamical typicality (a type of similarity within the ensemble of $$\psi _0$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>ψ</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:math> from an initial macro space). They are based on an extension we prove of a no-gaps delocalization result for random matrices by Rudelson and Vershynin (Geom Funct Anal 26:1716–1776, 2016).

Stefan Teufel

Roderich Tumulka

Cornelia Vogel

Typical Macroscopic Long-Time Behavior for Random Hamiltonians

随机哈密顿量的典型宏观长时间行为

Bowen Shi

Immersed figure-8 Annuli and Anyons

沉浸式8字形环与任意子

Cyril Malézé

A Scattering Result Around a Nonlocalized Equilibria for the Quintic Hartree Equation for Random Fields

随机场五次Hartree方程在非局域平衡点附近的散射结果

Abstract KMS states on $${\mathbb {Z}}_2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Z</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math> -crossed products of unital $$C^*$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>C</mml:mi> <mml:mo>∗</mml:mo> </mml:msup> </mml:math> -algebras $${\mathcal {A}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>A</mml:mi> </mml:math> are characterized in terms of KMS states and twisted KMS functionals of $${\mathcal {A}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>A</mml:mi> </mml:math> . These functionals are shown to describe the extensions of KMS states $$\omega $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>ω</mml:mi> </mml:math> on $${\mathcal {A}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>A</mml:mi> </mml:math> to the crossed product $${\mathcal {A}} \rtimes {\mathbb {Z}}_2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>A</mml:mi> <mml:mo>⋊</mml:mo> <mml:msub> <mml:mi>Z</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:mrow> </mml:math> and can also be characterized by the twisted center of the von Neumann algebra generated by the GNS representation corresponding to $$\omega $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>ω</mml:mi> </mml:math> . As a particular class of examples, KMS states on $${\mathbb {Z}}_2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Z</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math> -crossed products of CAR algebras with dynamics and grading given by Bogoliubov automorphisms are analyzed in detail. In this case, one or two extremal KMS states are found depending on a Gibbs-type condition involving the odd part of the absolute value of the Hamiltonian. As an application in mathematical physics, the extended field algebra of the Ising QFT is shown to be a $${\mathbb {Z}}_2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Z</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math> -crossed product of a CAR algebra which has a unique KMS state.

Ricardo Correa da Silva

Johannes Große

Gandalf Lechner

KMS States on $${\mathbb {Z}}_2$$-Crossed Products and Twisted KMS Functionals

关于$${\mathbb {Z}}_2$$-交叉积的KMS状态和扭曲KMS泛函

Hisham Sati

Urs Schreiber

Quantum Observables of Quantized Fluxes

量子化通量的量子可观测量

Markus Schröfl

Stefan Floerchinger

Relative Entropy and Mutual Information in Gaussian Statistical Field Theory

高斯统计场论中的相对熵与互信息

Abstract We prove that a class of weakly perturbed Hamiltonians of the form $$H_\lambda = H_0 + \lambda W$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>H</mml:mi> <mml:mi>λ</mml:mi> </mml:msub> <mml:mo>=</mml:mo> <mml:msub> <mml:mi>H</mml:mi> <mml:mn>0</mml:mn> </mml:msub> <mml:mo>+</mml:mo> <mml:mi>λ</mml:mi> <mml:mi>W</mml:mi> </mml:mrow> </mml:math> , with W being a Wigner matrix, exhibits prethermalization . That is, the time evolution generated by $$H_\lambda $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>H</mml:mi> <mml:mi>λ</mml:mi> </mml:msub> </mml:math> relaxes to its ultimate thermal state via an intermediate prethermal state with a lifetime of order $$\lambda ^{-2}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>λ</mml:mi> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:msup> </mml:math> . Moreover, we obtain a general relaxation formula, expressing the perturbed dynamics via the unperturbed dynamics and the ultimate thermal state. The proof relies on a two-resolvent law for the deformed Wigner matrix $$H_\lambda $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>H</mml:mi> <mml:mi>λ</mml:mi> </mml:msub> </mml:math> .

László Erdős

Joscha Henheik

Jana Reker

Volodymyr Riabov

Prethermalization for Deformed Wigner Matrices

变形维格纳矩阵的预热化

Abstract Drinfeld defined the Knizhnik–Zamolodchikov (KZ) associator $$\Phi _{\textrm{KZ}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Φ</mml:mi> <mml:mtext>KZ</mml:mtext> </mml:msub> </mml:math> by considering the regularized holonomy of the KZ connection along the droit chemin [0, 1]. The KZ associator is a group-like element of the free associative algebra with two generators, and it satisfies the pentagon equation. In this paper, we consider paths on $${\mathbb {C}}\backslash \{ z_1, \dots , z_n\}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>C</mml:mi> <mml:mo>\</mml:mo> <mml:mo>{</mml:mo> <mml:msub> <mml:mi>z</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mo>,</mml:mo> <mml:mo>⋯</mml:mo> <mml:mo>,</mml:mo> <mml:msub> <mml:mi>z</mml:mi> <mml:mi>n</mml:mi> </mml:msub> <mml:mo>}</mml:mo> </mml:mrow> </mml:math> which start and end at tangential base points. These paths are not necessarily straight, and they may have a finite number of transversal self-intersections. We show that the regularized holonomy H of the KZ connection associated with such a path satisfies a generalization of Drinfeld’s pentagon equation. In this equation, we encounter H , $$\Phi _{\textrm{KZ}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Φ</mml:mi> <mml:mtext>KZ</mml:mtext> </mml:msub> </mml:math> , and new factors associated with self-intersections, tangential base points, and the rotation number of the path.

Abbreviation	Ann. Henri Poincaré
Journal Impact	1.51
Quartiles(Global)	PHYSICS, PARTICLES & FIELDS(Q3)

ISSN	1424-0637, 1424-0661
h-index	52

Publication Information	Publisher: Birkhauser Verlag Basel，Publishing cycle: Bimonthly，Journal Type: journal，Open Access Journals: No
Basic data	Year of publication: 2000，Proportion of original research papers: 100.00%，Self Citation Rate:7.10%， Gold OA Rate: 43.15%
Average review cycle	网友分享经验：较慢,6-12周
Average recruitment ratio	网友分享经验：较易

Annales Henri Poincare

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Unified Framework for Continuity of Sandwiched Rényi Divergences

Typical Macroscopic Long-Time Behavior for Random Hamiltonians

Immersed figure-8 Annuli and Anyons

A Scattering Result Around a Nonlocalized Equilibria for the Quintic Hartree Equation for Random Fields

KMS States on $${\mathbb {Z}}_2$$-Crossed Products and Twisted KMS Functionals

Unified Framework for Continuity of Sandwiched Rényi Divergences

Quantum Observables of Quantized Fluxes

Relative Entropy and Mutual Information in Gaussian Statistical Field Theory

Prethermalization for Deformed Wigner Matrices

Generalized Pentagon Equations