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Recent studies on disorder-induced many-body localization (MBL) in non-Hermitian quantum systems have attracted great interest. However, the non-Hermitian disorder-free MBL still needs to be clarified. We consider a one-dimensional…

无序系统与神经网络 · 物理学 2023-11-27 Jinghu Liu , Zhihao Xu

We study many-body localization (MBL) for interacting one-dimensional lattice fermions in random (Anderson) and quasiperiodic (Aubry-Andre) models, focusing on the role of interaction range. We obtain the MBL quantum phase diagrams by…

无序系统与神经网络 · 物理学 2022-04-08 DinhDuy Vu , Ke Huang , Xiao Li , S. Das Sarma

We present a large scale exact diagonalization study of the one dimensional spin $1/2$ Heisenberg model in a random magnetic field. In order to access properties at varying energy densities across the entire spectrum for system sizes up to…

无序系统与神经网络 · 物理学 2015-03-05 David J. Luitz , Nicolas Laflorencie , Fabien Alet

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 many-body-localized (MBL) systems that are weakly coupled to thermalizing environments, focusing on the spectral functions of local operators. We argue that these spectral functions carry signatures of localization even away from…

统计力学 · 物理学 2014-09-02 Rahul Nandkishore , Sarang Gopalakrishnan , David A. Huse

We introduce a multi-scale diagonalization scheme to study the transition between the many-body localized and the ergodic phase in disordered quantum chains. The scheme assumes a sharp dichotomy between subsystems that behave as localized…

统计力学 · 物理学 2017-11-28 Thimothée Thiery , Markus Müller , Wojciech De Roeck

We uncover a new non-ergodic phase, distinct from the many-body localized (MBL) phase, in a disordered two-leg ladder of interacting hardcore bosons. The dynamics of this emergent phase, which has no single-particle analog and exists only…

无序系统与神经网络 · 物理学 2018-11-07 Michael Schecter , Thomas Iadecola , Sankar Das Sarma

The transition between ergodic and many-body localized phases is expected to occur via an avalanche mechanism, in which \emph{ergodic bubbles} that arise due to local fluctuations in system properties thermalize their surroundings leading…

无序系统与神经网络 · 物理学 2021-11-10 Tomasz Szoldra , Piotr Sierant , Korbinian Kottmann , Maciej Lewenstein , Jakub Zakrzewski

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…

无序系统与神经网络 · 物理学 2018-02-14 S. J. Thomson , M. Schiró

We consider a many-body localized system coupled globally to a central $d$-level system. Under an appropriate scaling of $d$ and $L$, we find evidence that the localized phase survives. We argue for two possible thermalizing phases,…

无序系统与神经网络 · 物理学 2019-06-24 Nathan Ng , Michael Kolodrubetz

We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all high-energy states and thus effectively working at…

无序系统与神经网络 · 物理学 2015-05-20 Arijeet Pal , David A. Huse

We compute and compare the decay lengths of several correlation functions and effective coupling constants in the many-body localized (MBL) phase. To this end, we consider the distribution of the logarithms of these couplings and…

强关联电子 · 物理学 2019-09-25 Vipin Kerala Varma , Abhishek Raj , Sarang Gopalakrishnan , Vadim Oganesyan , David Pekker

In the present study, the interplay among interaction, topology, quasiperiodicity, and non-Hermiticity is studied. The hard-core bosons model on a one-dimensional lattice with asymmetry hoppings and quasiperiodic onsite potentials is…

无序系统与神经网络 · 物理学 2020-08-17 Liang-Jun Zhai , Shuai Yin , Guang-Yao Huang

We study the many-body localization (MBL) properties of the Heisenberg XXZ spin-$\frac12$ chain in a random magnetic field. We prove that the system exhibits localization in any given energy interval at the bottom of the spectrum in a…

数学物理 · 物理学 2025-01-08 Alexander Elgart , Abel Klein

We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all states and thus effectively working at infinite…

无序系统与神经网络 · 物理学 2015-03-13 Arijeet Pal , David A. Huse

We explore the limitations of using imbalance dynamics as a diagnostic tool for many-body localization (MBL) and show that spatial averaging can mask important microscopic features. Focusing on the strongly disordered regime of the…

无序系统与神经网络 · 物理学 2026-01-09 Asmi Haldar , Thibault Scoquart , Fabien Alet , Nicolas Laflorencie

The Discrete Truncated Wigner Approximation (DTWA) is a semi-classical phase space method useful for the exploration of Many-body quantum dynamics. In this work we investigate Many-Body Localization (MBL) and thermalization using DTWA and…

量子物理 · 物理学 2017-09-08 O. L. Acevedo , A. Safavi-Naini , J. Schachenmayer , M. L. Wall , R. Nandkishore , A. M. Rey

We present a systematic numerical investigation of the "entanglement geometry gravity" chain in random tensor networks (RTN) established by the ER EPR conjecture and Jacobson's thermodynamic derivation. First, we verify the kinematic…

无序系统与神经网络 · 物理学 2026-04-07 Zhihua Liang

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

We study the universal properties of eigenstate entanglement entropy across the transition between many-body localized (MBL) and thermal phases. We develop an improved real space renormalization group approach that enables numerical…

无序系统与神经网络 · 物理学 2017-09-18 Philipp T. Dumitrescu , Romain Vasseur , Andrew C. Potter
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