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We introduce techniques for analysing the structure of quantum states of many-body localized (MBL) spin chains by identifying correlation clusters from pairwise correlations. These techniques proceed by interpreting pairwise correlations in…

无序系统与神经网络 · 物理学 2022-02-16 Kévin Hémery , Frank Pollmann , Adam Smith

Many-body localized (MBL) systems are known to thermalize in periodically driven systems. In this work, we demonstrate that under proper driving protocol, this thermalization this thermalization can be resisted such that the MBL phase turns…

无序系统与神经网络 · 物理学 2026-05-08 Biswajit Paul , Nilanjan Roy , Tapan Mishra

We show that the delocalization-localization transition in a quantum-many body (QMB) systems is a compelling quantum resource for achieving quantum-enhanced sensitivity in parameter estimation. We exploit the vulnerability of a…

量子物理 · 物理学 2024-07-23 Ayan Sahoo , Utkarsh Mishra , Debraj Rakshit

Rare regions with weak disorder (Griffiths regions) have the potential to spoil localization. We describe a non-perturbative construction of local integrals of motion (LIOMs) for a weakly interacting spin chain in one dimension, under a…

数学物理 · 物理学 2017-11-22 Wojciech De Roeck , John Z. Imbrie

We study one-dimensional spinless fermions with random interactions, but without any on-site disorder. We find that random interactions generically stabilize a many-body localized phase, in spite of the completely extended single-particle…

统计力学 · 物理学 2017-02-01 Xiaopeng Li , Dong-Ling Deng , Yang-Le Wu , S. Das Sarma

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…

When a system thermalizes it loses all local memory of its initial conditions. This is a general feature of open systems and is well described by equilibrium statistical mechanics. Even within a closed (or reversible) quantum system, where…

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

The Anderson transition on random graphs draws interest through its resemblance to the many-body localization (MBL) transition with similarly debated properties. In this Letter, we construct a unitary Anderson model on Small-World graphs to…

无序系统与神经网络 · 物理学 2025-02-25 Weitao Chen , Ignacio García-Mata , John Martin , Jiangbin Gong , Bertrand Georgeot , Gabriel Lemarié

We study numerically the formation of entanglement clusters across the many-body localization phase transition. We observe a crossover from strong many-body entanglement in the ergodic phase to weak local correlations in the localized…

无序系统与神经网络 · 物理学 2019-04-24 Loïc Herviou , Soumya Bera , Jens H. Bardarson

Quantum coherence quantifies the amount of superposition a quantum state can have in a given basis. Since there is a difference in the structure of eigenstates of the ergodic and many-body localized systems, we expect them also to differ in…

强关联电子 · 物理学 2020-07-29 Sayandip Dhara , Alioscia Hamma , Eduardo R. Mucciolo

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 consider what happens when a many body localized system is coupled to a heat bath. Unlike previous works, we do not restrict ourselves to the limit where the bath is large and effectively Markovian, nor to the limit where back action on…

无序系统与神经网络 · 物理学 2017-04-21 Rahul Nandkishore , Sarang Gopalakrishnan

Many-body localized (MBL) phases of disordered quantum many-particle systems have a number of unique properties, including failure to act as a thermal bath and protection of quantum coherence. Studying MBL is complicated by the effects of…

无序系统与神经网络 · 物理学 2022-01-03 Michael Sonner , Alessio Lerose , Dmitry A. Abanin

Many-body-localized (MBL) systems do not thermalize under their intrinsic dynamics. The athermality of MBL, we propose, can be harnessed for thermodynamic tasks. We illustrate this ability by formulating an Otto engine cycle for a quantum…

Recent theoretical and numerical evidence suggests that localization can survive in disordered many-body systems with very high energy density, provided that interactions are sufficiently weak. Stronger interactions can destroy…

无序系统与神经网络 · 物理学 2013-04-17 Shankar Iyer , Vadim Oganesyan , Gil Refael , David A. Huse

We study the prethermalization and thermalization dynamics of local observables in weakly perturbed nonintegrable systems, with Hamiltonians of the form $\hat{H}_0+g\hat{V}$, where $\hat{H}_0$ is nonintegrable and $g\hat{V}$ is a…

统计力学 · 物理学 2021-11-19 Krishnanand Mallayya , Marcos Rigol

We use exact diagonalization to study the breakdown of many-body localization in a strongly disordered and interacting system coupled to a thermalizing environment. We show that the many-body level statistics cross over from Poisson to GOE,…

无序系统与神经网络 · 物理学 2015-03-25 Sonika Johri , Rahul Nandkishore , R. N. Bhatt

The long-time dynamics of quantum systems, typically, but not always, results in a thermal steady state. The microscopic processes that lead to or circumvent this fate are of interest, since everyday experience tells us that not all spatial…

统计力学 · 物理学 2024-05-13 Ken K. W. Ma , Hitesh J. Changlani

We study the many-body localization aspects of single-particle mobility edges in fermionic systems. We investigate incommensurate lattices and random disorder Anderson models. Many-body localization and quantum nonergodic properties are…

统计力学 · 物理学 2016-06-07 Xiaopeng Li , J. H. Pixley , Dong-Ling Deng , Sriram Ganeshan , S. Das Sarma