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Localization in interacting systems caused by disorder, known as many-body localization (MBL), has attracted a lot of attention in recent years. Most systems studied in this context also show single-particle localization, and the question…

统计力学 · 物理学 2017-08-02 Rajeev Singh , Efrat Shimshoni

The possibility of observing many body localization of ultracold atoms in a one dimensional optical lattice is discussed for random interactions. In the non-interacting limit, such a system reduces to single-particle physics in the absence…

量子气体 · 物理学 2017-02-15 Piotr Sierant , Dominique Delande , Jakub Zakrzewski

We experimentally study the effects of coupling one-dimensional Many-Body Localized (MBL) systems with identical disorder. Using a gas of ultracold fermions in an optical lattice, we artifically prepare an initial charge density wave in an…

We review recently introduced numerical methods for the unbiased detection of the order parameter and/or dominant correlations, in many-body interacting systems, by using reduced density matrices. Most of the paper is devoted to the…

强关联电子 · 物理学 2015-05-27 Christopher L. Henley , Hitesh J. Changlani

We observe the emergence of a disorder-induced insulating state in a strongly interacting atomic Fermi gas trapped in an optical lattice. This closed quantum system free of a thermal reservoir realizes the disordered Fermi-Hubbard model,…

量子气体 · 物理学 2015-03-05 S. S. Kondov , W. R. McGehee , W. Xu , B. DeMarco

The celebrated Dyson singularity signals the relative delocalization of single-particle wave functions at the zero-energy symmetry point of disordered systems with a chiral symmetry. Here we show that analogous zero modes in interacting…

强关联电子 · 物理学 2020-05-06 Christian P. Chen , Marcin Szyniszewski , Henning Schomerus

We investigate Anderson localization of two particles moving in a two-dimensional (2D) disordered lattice and coupled by contact interactions. Based on transmission-amplitude calculations for relatively large strip-shaped grids, we find…

量子气体 · 物理学 2020-10-16 Filippo Stellin , Giuliano Orso

We propose to define full many-body localization in terms of the recently introduced integrals of motion[Chandran et al., arXiv:1407.8480], which characterize the time-averaged response of the system to a local perturbation. The…

无序系统与神经网络 · 物理学 2014-12-19 Isaac H. Kim , Anushya Chandran , Dmitry A. Abanin

Identifying and measuring the "localization length'' in many-body systems in the vicinity of a many-body localization transition is difficult. Following Hatano and Nelson, a recent work (Heuben, White, Refael, PRB 103, 064201 (2021))…

无序系统与神经网络 · 物理学 2025-04-25 Liam O'Brien , Gil Refael

We observe the onset of non-ergodicity from ballistic propagation of a two-body bound state in an interacting discrete-time quantum walk (DTQW) due to time-dependent disorder in the interaction. The effect of the disorder on the two-body…

介观与纳米尺度物理 · 物理学 2020-02-19 L. A. Toikka

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

Time non-locality, or memory, is a non-equilibrium property shared by all physical systems. Here, we show that memory is sufficient to induce a phase of spatial long-range order (LRO) even if the system's primary dynamical variables are…

统计力学 · 物理学 2025-12-05 C. Sipling , Y. -H. Zhang , M. Di Ventra

In response to a recent Comment by Frahm et al. regarding our Letter [Phys. Rev. Lett. {\bf 78}, 515 (1997)], we point out that no ``consistent picture'' exists for the enhancement of the localization length $\lambda_2$ for two interacting…

无序系统与神经网络 · 物理学 2020-05-04 Rudolf A. Roemer , Michael Schreiber

In the context of the Many-Body-Localization phenomenology we consider arbitrarily large one-dimensional local spin systems, the XXZ model with random magnetic field is a prototypical example. Without assuming the existence of exponentially…

无序系统与神经网络 · 物理学 2025-08-19 Daniele Toniolo , Sougato Bose

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

Experimental evidence for the generation of intrinsic localized modes (ILMs) in a nonlinear electrical transmission line is presented both via modulational instability (MI) of the uniform mode and via driving the lattice locally. The…

斑图形成与孤子 · 物理学 2009-11-13 Ryan Stearrett , L. Q. English

Many body localization (MBL) has emerged as a powerful paradigm for understanding non-equilibrium quantum dynamics. Folklore based on perturbative arguments holds that MBL only arises in systems with short range interactions. Here we…

强关联电子 · 物理学 2017-10-27 Rahul M. Nandkishore , S. L. Sondhi

We construct a complete set of local integrals of motion that characterize the many-body localized (MBL) phase. Our approach relies on the assumption that local perturbations act locally on the eigenstates in the MBL phase, which is…

无序系统与神经网络 · 物理学 2013-09-19 Maksym Serbyn , Z. Papić , Dmitry A. Abanin

We experimentally observe many-body localization of interacting fermions in a one-dimensional quasi-random optical lattice. We identify the many-body localization transition through the relaxation dynamics of an initially-prepared charge…

One of the defining features of many-body localization is the presence of extensively many quasi-local conserved quantities. These constants of motion constitute a corner-stone to an intuitive understanding of much of the phenomenology of…

统计力学 · 物理学 2018-05-03 M. Goihl , M. Gluza , C. Krumnow , J. Eisert