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An interacting quantum system that is subject to disorder may cease to thermalize due to localization of its constituents, thereby marking the breakdown of thermodynamics. The key to our understanding of this phenomenon lies in the system's…

We propose to observe many-body localization in cold atomic gases by realizing a Bose-Hubbard chain with binary disorder and studying its non-equilibrium dynamics. In particular, we show that measuring the difference in occupation between…

无序系统与神经网络 · 物理学 2014-11-19 F. Andraschko , T. Enss , J. Sirker

Many-body localization is a unique physical phenomenon driven by interactions and disorder for which a quantum system can evade thermalization. While the existence of a many-body localized phase is now well-established in one-dimensional…

无序系统与神经网络 · 物理学 2020-08-06 Hugo Théveniaut , Zhihao Lan , Gabriel Meyer , Fabien Alet

Many-body localization occurs in isolated quantum systems when Anderson localization persists in the presence of finite interactions. Despite strong evidence for the existence of a many-body localization transition a reliable extraction of…

强关联电子 · 物理学 2014-09-17 Jonas A. Kjäll , Jens H. Bardarson , Frank Pollmann

The strong long-range interaction leads to localization in the closed quantum system without disorders. Employing the exact diagonalization method, the author numerically investigates thermalization and many-body localization in…

无序系统与神经网络 · 物理学 2023-10-17 Chen Cheng

Many-body localization for a system of bosons trapped in a one dimensional lattice is discussed. Two models that may be realized for cold atoms in optical lattices are considered. The model with a random on-site potential is compared with…

无序系统与神经网络 · 物理学 2018-04-24 Piotr Sierant , Jakub Zakrzewski

We show that a one-dimensional Hubbard model with all-to-all coupling may exhibit many-body localization in the presence of local disorder. We numerically identify the parameter space where many-body localization occurs using exact…

无序系统与神经网络 · 物理学 2019-07-17 Piotr Sierant , Krzysztof Biedroń , Giovanna Morigi , Jakub Zakrzewski

Many-body localization is a striking mechanism that prevents interacting quantum systems from thermalizing. The absence of thermalization behaviour manifests itself, for example, in a remanence of local particle number configurations, a…

强关联电子 · 物理学 2020-12-30 Augustine Kshetrimayum , Marcel Goihl , Jens Eisert

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…

无序系统与神经网络 · 物理学 2015-10-14 Philipp Hauke , Markus Heyl

We discuss the onset of many body localisation in a one-dimensional system composed of a XXZ quantum spin chain and a Bose-Hubbard model linearly coupled together. We consider two complementary setups depending whether spatial disorder is…

无序系统与神经网络 · 物理学 2018-02-21 J. Marino , R. M. Nandkishore

We study the many-body localization transition in one-dimensional Hubbard chains using exact diagonalization and quantum chaos indicators. We also study dynamics in the delocalized (ergodic) and localized phases and discuss thermalization…

量子气体 · 物理学 2015-12-18 Rubem Mondaini , Marcos Rigol

We study the real-time dynamics of a two-dimensional Anderson--Hubbard model using nonequilibrium self-consistent perturbation theory within the second-Born approximation. When compared with exact diagonalization performed on small…

无序系统与神经网络 · 物理学 2016-03-11 Yevgeny Bar Lev , David R. Reichman

One fundamental assumption in statistical physics is that generic closed quantum many-body systems thermalize under their own dynamics. Recently, the emergence of many-body localized systems has questioned this concept, challenging our…

Disordered quantum many-body systems pose one of the central challenges in condensed matter physics and quantum information science, as their dynamics are generally intractable for classical computation. Many-body localization (MBL),…

Disorder and interactions can lead to the breakdown of statistical mechanics in certain quantum systems, a phenomenon known as many-body localization (MBL). Much of the phenomenology of MBL emerges from the existence of $\ell$-bits, a set…

无序系统与神经网络 · 物理学 2021-05-19 Eli Chertkov , Benjamin Villalonga , Bryan K. Clark

We study the high-energy phase diagram of a two-dimensional spin-$\frac{1}{2}$ Heisenberg model on a square lattice in the presence of either quenched or quasiperiodic disorder. The use of large-scale tensor network numerics allows us to…

无序系统与神经网络 · 物理学 2022-11-24 Kevin S. C. Decker , Dante M. Kennes , Christoph Karrasch

In the presence of strong disorder and weak interactions, closed quantum systems can enter a many-body localized phase where the system does not conduct, does not equilibrate even for arbitrarily long times, and robustly violates quantum…

无序系统与神经网络 · 物理学 2017-01-23 Katharine Hyatt , James R. Garrison , Andrew C. Potter , Bela Bauer

We use exact diagonalization to study the breakdown of many-body localization in a strongly disordered and interacting system coupled to a thermalizing environment. We show that the many-body level statistics cross over from Poisson to GOE,…

无序系统与神经网络 · 物理学 2015-03-25 Sonika Johri , Rahul Nandkishore , R. N. Bhatt

We develop a numerical technique to study Anderson localization in interacting electronic systems. The ground state of the disordered system is calculated with quantum Monte-Carlo simulations while the localization properties are extracted…

无序系统与神经网络 · 物理学 2009-02-25 Genevieve Fleury , Xavier Waintal

We show, using quasi-exact numerical simulations, that Anderson localization of one-dimensional particles in a disordered potential survives in the presence of attractive interaction between particles. The localization length of the…

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