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The entanglement spectrum of the reduced density matrix contains information beyond the von Neumann entropy and provides unique insights into exotic orders or critical behavior of quantum systems. Here, we show that strongly disordered…

无序系统与神经网络 · 物理学 2016-10-14 Maksym Serbyn , Alexios A. Michailidis , Dmitry A. Abanin , Z. Papić

Anderson localization (AL) phenomena usually exists in systems with random potential. However, disorder-free quantum many-body systems with local conservation can also exhibit AL or even many-body localization transition. In this work, we…

强关联电子 · 物理学 2020-10-20 Wei-Wei Yang , Lan Zhang , Xue-Ming Guo , Yin Zhong

The out-of-time-ordered (OTO) correlation is a key quantity for quantifying quantum chaoticity and has been recently used in the investigation of quantum holography. Here we use it to study and characterize many-body localization (MBL). We…

无序系统与神经网络 · 物理学 2017-02-15 Rong-Qiang He , Zhong-Yi Lu

Stark Many-Body Localization (MBL) is a phenomenon observed in quantum systems in the absence of disorder, where the presence of a linear potential, known as the Stark field, causes the localization. Our study aims to provide novel insight…

无序系统与神经网络 · 物理学 2025-01-22 Chung Po Ching

In a many-body localized (MBL) quantum system, the ergodic hypothesis breaks down completely, giving rise to a fundamentally new many-body phase. Whether and under which conditions MBL can occur in higher dimensions remains an outstanding…

A systematic method for determining order parameters for quantum many-body systems on lattices is developed by utilizing reduced density matrices. This method allows one to extract the order parameter directly from the wave functions of the…

强关联电子 · 物理学 2007-05-23 Shunsuke Furukawa , Gregoire Misguich , Masaki Oshikawa

Local entanglement between pairs of spins, as measured by concurrence, is investigated in a disordered spin model that displays a transition from an ergodic to a many-body localized phase in excited states. It is shown that the concurrence…

强关联电子 · 物理学 2016-04-13 Soumya Bera , Arul Lakshminarayan

The random energy model (REM) provides a solvable mean-field description of the equilibrium spin glass transition. Its quantum sibling (the QREM), obtained by adding a transverse field to the REM, has similar properties and shows a spin…

统计力学 · 物理学 2016-01-27 C. L. Baldwin , C. R. Laumann , A. Pal , A. Scardicchio

We consider a weakly interacting quantum spin chain with random local interactions. We prove that many-body localization follows from a physically reasonable assumption that limits the extent of level attraction in the statistics of…

数学物理 · 物理学 2016-07-07 John Z Imbrie

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

Isolated quantum systems with quenched randomness exhibit many-body localization (MBL), wherein they do not reach local thermal equilibrium even when highly excited above their ground states. It is widely believed that individual…

无序系统与神经网络 · 物理学 2016-10-11 A. Chandran , A. Pal , C. R. Laumann , A. Scardicchio

Distinguishing the dynamics of an Anderson insulator from a Many-Body Localized (MBL) phase is an experimentally challenging task. In this work, we propose a method based on machine learning techniques to analyze experimental snapshot data…

无序系统与神经网络 · 物理学 2022-01-06 Florian Kotthoff , Frank Pollmann , Giuseppe De Tomasi

We develop a novel analytical approach to the problem of single particle localization in infinite dimensional spaces such as Bethe lattice and random regular graphs. The key ingredient of the approach is the notion of the inverted order…

无序系统与神经网络 · 物理学 2018-02-14 V. E. Kravtsov , B. L. Altshuler , L. B. Ioffe

Sufficient disorder is believed to localize static and periodically-driven interacting chains. With quasiperiodic driving by $D$ incommensurate tones, the fate of this many-body localization (MBL) is unknown. We argue that randomly…

无序系统与神经网络 · 物理学 2022-04-20 David M. Long , Philip J. D. Crowley , Anushya Chandran

It has been proposed that the states of fully many-body localized systems can be described in terms of conserved local pseudospins. Due to the multitude of ways to define these, the explicit identification of the optimally local pseudospins…

强关联电子 · 物理学 2017-10-11 R. Wortis , Malcolm P. Kennett

We study the localization problem of one-dimensional interacting spinless fermions in an incommensurate optical lattice, which changes from an extended phase to a nonergoic many-body localized phase by increasing the strength of the…

无序系统与神经网络 · 物理学 2018-01-03 Yucheng Wang , Haiping Hu , Shu Chen

Detecting many-body localization (MBL) typically requires the calculation of high-energy eigenstates using numerical approaches. This study investigates methods that assume the use of a quantum device to detect disorder-induced…

无序系统与神经网络 · 物理学 2022-10-31 Kazue Kudo

Characterizing the many-body localization (MBL) transition in strongly disordered and interacting quantum systems is an important issue in the field of condensed matter physics. We study the single particle Green's functions for a…

无序系统与神经网络 · 物理学 2021-10-29 Atanu Jana , V. Ravi Chandra , Arti Garg

We investigate and compare the particle number fluctuations in the putative many-body localized (MBL) phase of a spinless fermion model with potential disorder and nearest-neighbor interactions with those in the non-interacting case…

无序系统与神经网络 · 物理学 2022-01-26 Maximilian Kiefer-Emmanouilidis , Razmik Unanyan , Michael Fleischhauer , Jesko Sirker

We show that the magnetization of a single `qubit' spin weakly coupled to an otherwise isolated disordered spin chain exhibits periodic revivals in the localized regime, and retains an imprint of its initial magnetization at infinite time.…

强关联电子 · 物理学 2015-05-06 R. Vasseur , S. A. Parameswaran , J. E. Moore