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We propose a new approach to probing ergodicity and its breakdown in quantum many-body systems based on their response to a local perturbation. We study the distribution of matrix elements of a local operator between the system's…

无序系统与神经网络 · 物理学 2015-12-25 Maksym Serbyn , Z. Papić , Dmitry A. Abanin

We present a numerical study of the many-body localization (MBL) phenomenon in the high-temperature limit within an anisotropic Heisenberg model with random local fields. Taking the dynamical spin conductivity $\sigma(\omega)$ as the test…

强关联电子 · 物理学 2016-08-01 Osor S. Barišić , Jure Kokalj , Ivan Balog , Peter Prelovšek

Motivated by recent debates around the many-body localization (MBL) problem, and in particular its stability against systemwide resonances, we investigate long-distance spin-spin correlations across the phase diagram of the random-field XXZ…

无序系统与神经网络 · 物理学 2025-01-10 Jeanne Colbois , Fabien Alet , Nicolas Laflorencie

We study the many-body localization (MBL) transition of Floquet eigenstates in a driven, interacting fermionic chain with an incommensurate Aubry-Andr\'{e} potential and a time-periodic hopping amplitude as a function of the drive frequency…

无序系统与神经网络 · 物理学 2022-01-21 Madhumita Sarkar , Roopayan Ghosh , Arnab Sen , K. Sengupta

We examine the standard model of many-body localization (MBL), i.e., the disordered chain of interacting spinless fermions, by representing it as the network in the many-body (MB) basis of noninteracting localized Anderson states. By…

强关联电子 · 物理学 2021-02-04 P. Prelovšek , M. Mierzejewski , J. Krsnik , O. S. Barišić

Many-body-localization (MBL) transitions are studied in a family of single-spin-flip spin-$\frac12$ models, including the one-dimensional (1D) chain with nearest-neighbor interactions, the quantum dot (QD) model with all-to-all pair…

无序系统与神经网络 · 物理学 2025-08-19 Thibault Scoquart , Igor V. Gornyi , Alexander D. Mirlin

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

Many-body localization (MBL) is an intriguing physical phenomenon that arises from the interplay of interaction and disorder, allowing quantum systems to prevent thermalization. In this study, we investigate the MBL properties of the fully…

无序系统与神经网络 · 物理学 2024-02-20 Jiameng Hong , Taotao Hu

We introduce novel characterizations for many-body phase transitions between delocalized and localized phases based on the system's sensitivity to boundary conditions. In particular, we change boundary conditions from periodic to…

强关联电子 · 物理学 2021-01-27 Mohammad Pouranvari , Shiuan-Fan Liou

We study many-body localization (MBL) in a one-dimensional system of spinless fermions with a deterministic aperiodic potential in the presence of long-range interactions decaying as power-law $V_{ij}/(r_i-r_j)^\alpha$ with distance and…

无序系统与神经网络 · 物理学 2021-02-09 Yogeshwar Prasad , Arti Garg

The explorations of non-Hermiticity have been devoted to investigate the disorder-induced many-body localization (MBL). However, the sensitivity of the spatial boundary conditions and the interplay of the non-Hermitian skin effect with…

无序系统与神经网络 · 物理学 2022-12-09 Kuldeep Suthar , Yi-Cheng Wang , Yi-Ping Huang , H. H. Jen , Jhih-Shih You

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

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 consider disordered many-body systems with periodic time-dependent Hamiltonians in one spatial dimension. By studying the properties of the Floquet eigenstates, we identify two distinct phases: (i) a many-body localized (MBL) phase, in…

无序系统与神经网络 · 物理学 2015-04-16 Pedro Ponte , Z. Papić , François Huveneers , Dmitry A. Abanin

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

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 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

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 present an introductory review of nonergodic dynamics in interacting many-body quantum systems, focusing on the phenomenon of many-body localization (MBL). We describe aspects of MBL and summarize the evidence for a crossover from the…

量子物理 · 物理学 2026-04-15 Jakub Zakrzewski

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