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Quantum many-body systems with sufficiently strong disorder can exhibit a non-equilibrium phenomenon, known as the many-body localization (MBL), which is distinct from conventional thermalization. While the MBL regime has been extensively…

Disorder-free localization has been recently introduced as a mechanism for ergodicity breaking in low-dimensional homogeneous lattice gauge theories caused by local constraints imposed by gauge invariance. We show that also genuinely…

强关联电子 · 物理学 2021-04-07 P. Karpov , R. Verdel , Y. -P. Huang , M. Schmitt , M. Heyl

Local entanglement between pairs of spins, as measured by concurrence, is investigated in a disordered spin model that displays a transition from an ergodic to a many-body localized phase in excited states. It is shown that the concurrence…

强关联电子 · 物理学 2016-04-13 Soumya Bera , Arul Lakshminarayan

The space of one-dimensional disordered interacting quantum models displaying a Many-Body-Localization Transition seems sufficiently rich to produce critical points with level statistics interpolating continuously between the Poisson…

无序系统与神经网络 · 物理学 2016-04-04 Cecile Monthus

We show how U(1) lattice gauge theories display key signatures of ergodicity breaking in the presence of a random charge background. Contrary to the widely studied case of spin models, in the presence of Coulomb interactions, the spectral…

In this letter, we investigate the statistical properties of electromagnetic signals after different times of duration within one-dimensional local-disordered time-varying cavities, where both spatial and temporal disorders are added. Our…

无序系统与神经网络 · 物理学 2024-08-01 Bo Zhou , Xingsong Feng , Xianmin Guo , Fei Gao , Hongsheng Chen , Zuojia Wang

We investigate the dynamics of strongly disordered spin chains in the presence of random local measurements. By studying the transverse-field Ising model with a site-dependent random longitudinal field and an effective $l$-bit many-body…

无序系统与神经网络 · 物理学 2025-12-03 Yicheng Tang , Pradip Kattel , Arijeet Pal , Emil A. Yuzbashyan , J. H. Pixley

Langmuir monolayers are modeled as systems of short chains, which are confined to a planar surface at one end, but free to move within the plane. The phase behavior is calculated in a mean field approximation, which combines the self…

化学物理 · 物理学 2009-10-30 F. Schmid

Many-body localized (MBL) systems are often described using their local integrals of motion, which, for spin systems, are commonly assumed to be a local unitary transform of the set of on-site spin-z operators. We show that this assumption…

无序系统与神经网络 · 物理学 2020-07-27 Thorsten B. Wahl , Benjamin Béri

This paper is devoted to discuss the stabilizability of a class of $ 2 \times2 $ non-homogeneous hyperbolic systems. Motivated by the example in \cite[Page 197]{CB2016}, we analyze the influence of the interval length $L$ on stabilizability…

偏微分方程分析 · 数学 2023-08-21 Xu Huang , Zhiqiang Wang , Shijie Zhou

This paper introduces ergodic-risk criteria, which capture long-term cumulative risks associated with controlled Markov chains through probabilistic limit theorems--in contrast to existing methods that require assumptions of either finite…

最优化与控制 · 数学 2025-12-03 Shahriar Talebi , Na Li

We study the time evolution operator in a family of local quantum circuits with random fields in a fixed direction. We argue that the presence of quantum chaos implies that at large times the time evolution operator becomes effectively a…

统计力学 · 物理学 2021-05-12 Pavel Kos , Bruno Bertini , Tomaž Prosen

Recently, an Enskog-type kinetic theory for Vicsek-type models for self-propelled particles has been proposed [T. Ihle, Phys. Rev. E 83, 030901 (2011)]. This theory is based on an exact equation for a Markov chain in phase space and is not…

统计力学 · 物理学 2015-07-22 Thomas Ihle

Many-body localization (MBL) has been widely investigated for both fermions and bosons, it is, however, much less explored for anyons. Here we numerically calculate several physical characteristics related to MBL of a one-dimensional…

无序系统与神经网络 · 物理学 2020-08-14 Guo-Qing Zhang , Dan-Wei Zhang , Zhi Li , Z. D. Wang , Shi-Liang Zhu

We study a stability property of probability laws with respect to small violations of algorithmic randomness. A sufficient condition of stability is presented in terms of Schnorr tests of algorithmic randomness. Most probability laws, like…

计算复杂性 · 计算机科学 2014-09-16 Vladimir V. V'yugin

We study entropies caused by the unstable part of partially hyperbolic systems. We define unstable metric entropy and unstable topological entropy, and establish a variational principle for partially hyperbolic diffeomorphsims, which states…

动力系统 · 数学 2017-10-10 Huyi Hu , Yongxia Hua , Weisheng Wu

By means of a novel variational approach we study ergodic properties of a model of a multi lane traffic flow, considered as a (deterministic) wandering of interacting particles on an infinite lattice. For a class of initial configurations…

混沌动力学 · 物理学 2007-05-23 Michael Blank

We study almost sure limiting behavior of extreme and intermediate order statistics arising from strictly stationary sequences. First, we provide sufficient dependence conditions under which these order statistics converges almost surely to…

概率论 · 数学 2017-04-28 Aneta Buraczyńska , Anna Dembińska

The extreme-value statistics of the entanglement spectrum in disordered spin chains possessing a many-body localization transition is examined. It is expected that eigenstates in the metallic or ergodic phase, behave as random states and…

无序系统与神经网络 · 物理学 2020-02-04 Rajarshi Pal , Arul Lakshminarayan

The theory of disordered elastic systems is one of the most powerful frameworks to assess the physics of multiple systems that span from ferromagnets to migrating biological cells. In this formalism, one assumes that the system can be…

无序系统与神经网络 · 物理学 2022-11-28 Nirvana Caballero , Thierry Giamarchi
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