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The transition between ergodic phase and many-body localization (MBL) phase lies at the heart in understanding quantum thermalization of many-body systems. Here we predict a many-body critical phase in the one-dimensional extended…

无序系统与神经网络 · 物理学 2021-02-26 Yucheng Wang , Chen Cheng , Xiong-jun Liu , Dapeng Yu

We investigate the occurrence of many-body localization (MBL) on a spin-1/2 transverse-field Ising model defined on a Chimera connectivity graph with random exchange interactions and longitudinal fields. We observe a transition from an…

Many-body localized (MBL) systems lie outside the framework of statistical mechanics, as they fail to equilibrate under their own quantum dynamics. Even basic features of MBL systems such as their stability to thermal inclusions and the…

无序系统与神经网络 · 物理学 2018-02-27 Pedro Ponte , C. R. Laumann , David A. Huse , A. Chandran

While many studies point towards the existence of many-body localization (MBL) in one dimension, the fate of higher-dimensional strongly disordered systems is a topic of current debate. The latest experiments as well as several recent…

无序系统与神经网络 · 物理学 2024-05-13 Joey Li , Amos Chan , Thorsten B. Wahl

We examine the interplay of interaction and disorder for a Heisenberg spin ladder system with random fields. We identify many-body localized states based on the entanglement entropy scaling, where delocalized and localized states have…

强关联电子 · 物理学 2015-12-09 Elliott Baygan , S. P. Lim , D. N. Sheng

We experimentally study many-body localization (MBL) with ultracold atoms in a weak one-dimensional quasiperiodic potential, which in the noninteracting limit exhibits an intermediate phase that is characterized by a mobility edge. We…

We theoretically investigate the many-body localization phase transition in a one-dimensional Ising spin chain with random long-range spin-spin interactions, $V_{ij}\propto\left|i-j\right|^{-\alpha}$, where the exponent of the interaction…

量子气体 · 物理学 2016-12-28 Haoyuan Li , Jia Wang , Xia-Ji Liu , Hui Hu

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

Recently it has been suggested that many-body localization (MBL) can occur in translation-invariant systems, and candidate 1D models have been proposed. We find that such models, in contrast to MBL systems with quenched disorder, typically…

统计力学 · 物理学 2016-08-08 Z. Papic , E. M. Stoudenmire , Dmitry A. Abanin

We present a fully analytical description of a many body localization (MBL) transition in a microscopically defined model. Its Hamiltonian is the sum of one- and two-body operators, where both contributions obey a maximum-entropy principle…

强关联电子 · 物理学 2021-01-13 Felipe Monteiro , Tobias Micklitz , Masaki Tezuka , Alexander Altland

Many-body localization (MBL) describes a quantum phase where an isolated interacting system subject to sufficient disorder displays non-ergodic behavior, evading thermal equilibrium that occurs under its own dynamics. Previously, the…

The many-body localization (MBL) phase transition is not a conventional thermodynamic phase transition. Thus to define the phase transition one should allow the possibility of taking the limit of an infinite system in a way that is not the…

统计力学 · 物理学 2019-04-24 Sarang Gopalakrishnan , David A. Huse

In one dimension, noninteracting particles can undergo a localization-delocalization transition in a quasiperiodic potential. Recent studies have suggested that this transition transforms into a many-body localization (MBL) transition upon…

无序系统与神经网络 · 物理学 2015-12-09 Ranjan Modak , Subroto Mukerjee

The many-body localization (MBL) transition is a quantum phase transition involving highly excited eigenstates of a disordered quantum many-body Hamiltonian, which evolve from "extended/ergodic" (exhibiting extensive entanglement entropies…

无序系统与神经网络 · 物理学 2018-04-20 Piero Naldesi , Elisa Ercolessi , Tommaso Roscilde

In this work, the interplay between non-Hermiticity, quasi-disorder, and repulsive interaction is studied for hard-core bosons confined in a one-dimensional optical lattice, where non-Hermiticity is induced by the non-reciprocal hoppings…

无序系统与神经网络 · 物理学 2024-04-29 Shujie Cheng , Xixi Feng , Wen Chen , Niaz Ali Khan , Gao Xianlong

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

A many-body localized (MBL) state is a new state of matter emerging in a disordered interacting system at high energy densities through a disorder driven dynamic phase transition. The nature of the phase transition and the evolution of the…

强关联电子 · 物理学 2016-07-20 S. P. Lim , D. N. Sheng

We develop a real space renormalization group (RSRG) scheme by appropriately inserting the long range hopping $t\sim r^{-\alpha}$ with nearest neighbour interaction to study the entanglement entropy and maximum block size for many-body…

无序系统与神经网络 · 物理学 2020-05-21 Ranjan Modak , Tanay Nag

Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many-body localization (MBL), which shows subexponential relaxation of local observables, subdiffusive transport and sublinear spreading of the…

无序系统与神经网络 · 物理学 2017-06-02 David J. Luitz , Yevgeny Bar Lev

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