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We study the dynamics and the resulting state after relaxation in a quasi-disordered integrable lattice system after a sudden quench. Specifically, we consider hard-core bosons in an isolated one-dimensional geometry in the presence of a…

Statistical Mechanics · Physics 2012-11-19 Christian Gramsch , Marcos Rigol

Many-body localization is a profound phase of matter affecting the entire spectrum which emerges in the presence of disorder in interacting many-body systems. Recently, the stability of many-body localization has been challenged by the…

Quantum Physics · Physics 2025-10-21 Muhammad Sajid , Rozhin Yousefjani , Abolfazl Bayat

Hilbert space fragmentation, as it is currently investigated, primarily originates from specific kinematic constraints or emergent conservation laws in many-body systems with translation invariance. It leads to non-ergodic dynamics and…

Disordered Systems and Neural Networks · Physics 2025-10-23 Ishita Modak , Rajesh Narayanan , Ferdinand Evers , Soumya Bera

We numerically study quantum avalanches in one-dimensional disordered spin systems by attaching two XXZ spin chains. One chain has low disorder representing a rare Griffith's region, or thermal inclusion, and the second has larger disorder,…

Disordered Systems and Neural Networks · Physics 2024-12-18 J. Clayton Peacock , Dries Sels

We investigate the phase transition between an ergodic and a many-body localized phase in infinite anisotropic spin-$1/2$ Heisenberg chains with binary disorder. Starting from the N\'eel state, we analyze the decay of antiferromagnetic…

Disordered Systems and Neural Networks · Physics 2017-01-30 T. Enss , F. Andraschko , J. Sirker

In this paper, we theoretically investigate the many-body localization (MBL) properties of one-dimensional anisotropic spin-1/2 chains by using the exact matrix diagonalization method. Starting from the Ising spin-1/2 chain, we introduce…

Disordered Systems and Neural Networks · Physics 2025-04-15 Taotao Hu , Yuting Li , Jiameng Hong , Xiaodan Li , Dongyan Guo , Kangning Chen

We study the stability of the many-body scars in spin-1/2 fermionic systems under the most typical perturbations in relevant materials. We find that some families of scars are completely insensitive to certain perturbations. In some other…

Strongly Correlated Electrons · Physics 2024-01-10 Patrice Kolb , Kiryl Pakrouski

The interplay between interactions and quenched disorder can result in rich dynamical quantum phenomena far from equilibrium, particularly when many-body localization prevents the system from full thermalization. With the aim of tackling…

Disordered Systems and Neural Networks · Physics 2018-02-14 S. J. Thomson , M. Schiró

A real spin-charge separation scheme is found based on a saddle-point state of the $t-J$ model. In the one-dimensional (1D) case, such a saddle-point reproduces the correct asymptotic correlations at the strong-coupling fixed-point of the…

Condensed Matter · Physics 2009-10-28 Z. Y. Weng , D. N. Sheng , C. S. Ting

Disorder in spin-orbit (SO) coupling is an important feature of real low-dimensional electron structures. We study spin relaxation due to such a disorder as well as resulting abilities of spin manipulation. The spin relaxation reveals…

Mesoscale and Nanoscale Physics · Physics 2009-09-03 V. K. Dugaev , E. Ya. Sherman , V. I. Ivanov , J. Barnas

Disorder-free localization is a paradigm of nonergodicity in translation-invariant quantum many-body systems hosting gauge symmetries. The quench dynamics starting from simple initial states, which correspond to extensive superpositions of…

Disordered Systems and Neural Networks · Physics 2022-01-07 Jad C. Halimeh , Hongzheng Zhao , Philipp Hauke , Johannes Knolle

Ergodicity in quantum many-body systems is - despite its fundamental importance - still an open problem. Many-body localization provides a general framework for quantum ergodicity, and may therefore offer important insights. However, the…

Disordered Systems and Neural Networks · Physics 2015-10-14 Philipp Hauke , Markus Heyl

Disordered interacting spin chains that undergo a many-body localization transition are characterized by two limiting behaviors where the dynamics are chaotic and integrable. However, the transition region between them is not fully…

Disordered Systems and Neural Networks · Physics 2021-05-18 Ángel L. Corps , Rafael A. Molina , Armando Relaño

Hilbert space fragmentation provides a mechanism to break ergodicity in closed many-body systems. Here, we propose a feasible scheme to explore this exotic paradigm on a Rydberg quantum simulator. We show that the Rydberg Ising model in the…

Quantum Physics · Physics 2025-04-28 Fan Yang , Hadi Yarloo , Hua-Chen Zhang , Klaus Mølmer , Anne E. B. Nielsen

The isolated one-dimensional Heisenberg model with static random magnetic fields has become paradigmatic for the analysis of many-body localization. Here, we study the dynamics of this system initially prepared in a highly-excited…

Disordered Systems and Neural Networks · Physics 2015-07-27 E. J. Torres-Herrera , Lea F. Santos

We consider time evolution in models close to integrable points with hidden symmetries that generate infinitely many local conservation laws that do not commute with one another. The system is expected to (locally) relax to a thermal…

Statistical Mechanics · Physics 2015-07-14 Bruno Bertini , Maurizio Fagotti

We show that the physical subspace in the Z2-slave-spin theory is conserved under the time evolution of the system. Thus, when restricted to the physical subspace, this representation gives a complete and consistent description of the…

Strongly Correlated Electrons · Physics 2013-01-04 Andreas Rüegg , Sebastian D. Huber , Manfred Sigrist

A recent experiment [Nature Physics 10, 1 (2019)] has realized a dynamical gauge system with $\mathbb{Z}_2$ gauge symmetry in a double-well potential. In this work we propose a method to generalize this model from a single double well to a…

Quantum Gases · Physics 2020-09-23 Zhiyuan Yao , Chang Liu , Pengfei Zhang , Hui Zhai

The level dynamics across the many body localization transition is examined for XXZ-spin model with a random magnetic field. We compare different scenaria of parameter dependent motion in the system and consider measures such as level…

Disordered Systems and Neural Networks · Physics 2019-06-19 Artur Maksymov , Piotr Sierant , Jakub Zakrzewski

In general, isolated integrable quantum systems have been found to relax to an apparent equilibrium state in which the expectation values of few-body observables are described by the generalized Gibbs ensemble. However, recent work has…

Quantum Gases · Physics 2013-07-03 Kai He , Lea F. Santos , Tod M. Wright , Marcos Rigol