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SU(N) symmetry is incompatible with the many-body localized (MBL) phase, even when strong disorder is present. However, recent studies have shown that finite-size SU(2) systems exhibit non-ergodic, subthermal behavior, characterized by the…

Local observables in generic periodically driven closed quantum systems are known to relax to values described by periodic infinite temperature ensembles. At the same time, ergodic static systems exhibit anomalous thermalization of local…

无序系统与神经网络 · 物理学 2018-08-15 Sthitadhi Roy , Yevgeny Bar Lev , David J. Luitz

Non-abelian symmetries are thought to be incompatible with many-body localization, but have been argued to produce in certain disordered systems a broad non-ergodic regime distinct from many-body localization. In this context, we present a…

无序系统与神经网络 · 物理学 2024-03-04 Bhupen Dabholkar , Fabien Alet

The many-body localized (MBL) phase is characterized by a complete set of quasi-local integrals of motion and area-law entanglement of excited eigenstates. We study the effect of non-Abelian continuous symmetries on MBL, considering the…

无序系统与神经网络 · 物理学 2017-07-26 Ivan V. Protopopov , Wen Wei Ho , Dmitry A. Abanin

Conventional wisdom suggests that the long time behavior of isolated interacting periodically driven (Floquet) systems is a featureless maximal entropy state characterized by an infinite temperature. Efforts to thwart this uninteresting…

量子气体 · 物理学 2018-02-07 Karthik I. Seetharam , Paraj Titum , Michael Kolodrubetz , Gil Refael

How a closed system thermalizes, especially in the absence of global conservation laws but in the presence of disorder and interactions, is one of the central questions in non-equilibrium statistical mechanics. We explore this for a…

无序系统与神经网络 · 物理学 2025-02-25 Soumya Bera , Ishita Modak , Roderich Moessner

We study the diagonal and off-diagonal matrix elements of observables in the eigenstates of the extended spin-$\frac{1}{2}$ Heisenberg chain, which exhibits the non-Abelian SU(2) symmetry. We explore integrable and nonintegrable regimes,…

量子物理 · 物理学 2025-05-20 Rohit Patil , Marcos Rigol

As a paradigmatic model of open quantum system, the spin-boson model is widely used in theoretical and experimental investigations. Beyond the weak coupling limit, the spin dynamics can be described by a time-nonlocal generalized master…

统计力学 · 物理学 2018-08-10 L. Magazzù , S. Denisov , P. Hänggi

The advancements of quantum processors offer a promising new window to study exotic states of matter. One striking example is the possibility of non-ergodic behaviour in systems with a large number of local degrees of freedom. Here we use a…

We study diagnostics of thermalization in quantum many-body systems with global SU(2) symmetry, where the standard eigenstate thermalization hypothesis (ETH) is generalized to its non-Abelian form. As an eigenstate-level probe, we introduce…

量子物理 · 物理学 2026-03-30 Haojie Shen , Jie Chen , Xiaoqun Wang

We investigate a class of periodically driven many-body systems that allows us to extend the phenomenon of prethermalization to the vicinity of isolated intermediate-to-low drive frequencies away from the high-frequency limit. We provide…

统计力学 · 物理学 2021-05-05 Christoph Fleckenstein , Marin Bukov

By means of a Floquet analysis, we study the quantum dynamics of a fully connected Lipkin-Ising ferromagnet in a periodically driven transverse field showing that thermalization in the steady state is intimately connected to properties of…

统计力学 · 物理学 2015-08-31 Angelo Russomanno , Rosario Fazio , Giuseppe E. Santoro

We consider the statistical properties of eigenstates of the time-evolution operator in chaotic many-body quantum systems. Our focus is on correlations between eigenstates that are specific to spatially extended systems and that…

量子物理 · 物理学 2024-08-21 Dominik Hahn , David J. Luitz , J. T. Chalker

We study the entanglement spectrum in the many body localizing and thermalizing phases of one and two dimensional Hamiltonian systems, and periodically driven `Floquet' systems. We focus on the level statistics of the entanglement spectrum…

统计力学 · 物理学 2016-05-25 Scott D. Geraedts , Rahul Nandkishore , Nicolas Regnault

Quasiperiodic systems in one dimension can host non-ergodic states, e.g. localized in position or momentum. Periodic quenches within localized phases yield Floquet eigenstates of the same nature, i.e. spatially localized or ballistic.…

无序系统与神经网络 · 物理学 2023-09-15 Miguel Gonçalves , Pedro Ribeiro , Ivan M. Khaymovich

We study the dynamics and thermalization of the Fredkin spin chain, a system with local three-body interactions, particle conservation and explicit kinetic constraints. We consider deformations away from its stochastic point in order to…

统计力学 · 物理学 2024-11-05 Luke Causer , Mari Carmen Bañuls , Juan P. Garrahan

Random quantum circuits are paradigmatic models of minimally structured and analytically tractable chaotic dynamics. We study a family of Floquet unitary circuits with Haar random $U(1)$ charge conserving dynamics; the minimal such model…

量子物理 · 物理学 2024-03-22 Cheryne Jonay , Joaquin F. Rodriguez-Nieva , Vedika Khemani

We study the infinite temperature dynamics of a prototypical one-dimensional system expected to exhibit many-body localization. Using numerically exact methods, we establish the dynamical phase diagram of this system based on the statistics…

无序系统与神经网络 · 物理学 2015-03-18 Yevgeny Bar Lev , Guy Cohen , David R. Reichman

Nonintegrable many-body quantum systems typically thermalize at long times through the mechanism of quantum chaos. However, some exceptional systems, such as those harboring quantum scars, break thermalization, serving as testbeds for…

We investigate spin correlations in one-dimensional $SU(2)$-invariant Heisenberg chains with exchange disorder for spin lengths $S=1/2$ and $S=1$. In the weak-disorder regime, the eigenmodes of the spin-spin correlation matrix are…

无序系统与神经网络 · 物理学 2025-08-04 Debasmita Giri , Julian Siegl , John Schliemann
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