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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…

Disordered Systems and Neural Networks · Physics 2022-01-03 Michael Sonner , Alessio Lerose , Dmitry A. Abanin

We consider fully many-body localized systems, i.e. isolated quantum systems where all the many-body eigenstates of the Hamiltonian are localized. We define a sense in which such systems are integrable, with localized conserved operators.…

Statistical Mechanics · Physics 2014-11-19 David A. Huse , Rahul Nandkishore , Vadim Oganesyan

Many-particle confinement (localization) is studied for a 1D system of spinless fermions with nearest-neighbor hopping and interaction, or equivalently, for an anisotropic Heisenberg spin-1/2 chain. This system is frequently used to model…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. I. Dykman , L. F. Santos , M. Shapiro

We propose a reinterpretation and reformulation of the single-particle Green's function in nonrelativistic quantum many-body theory with an emphasis on normalization. By downfolding a correlation function covering all of Fock space into the…

Strongly Correlated Electrons · Physics 2021-01-05 Marc Dvorak

We use thermalization indicators and numerical linked cluster expansions to probe the onset of many-body localization in a disordered one-dimensional hard-core boson model in the thermodynamic limit. We show that after equilibration…

Statistical Mechanics · Physics 2015-04-24 Baoming Tang , Deepak Iyer , Marcos Rigol

We analyze a disordered central spin model, where a central spin interacts equally with each spin in a periodic one dimensional random-field Heisenberg chain. If the Heisenberg chain is initially in the many-body localized (MBL) phase, we…

Disordered Systems and Neural Networks · Physics 2018-11-07 Daniel Hetterich , Norman Y. Yao , Maksym Serbyn , Frank Pollmann , Björn Trauzettel

Dynamical localization is one of the most startling manifestations of quantum interference, where the evolution of a simple system is frozen out under a suitably tuned coherent periodic drive. Here, we show that, although any randomness in…

Statistical Mechanics · Physics 2015-03-17 Analabha Roy , Arnab Das

While there are well established methods to study delocalization transitions of single particles in random systems, it remains a challenging problem how to characterize many body delocalization transitions. Here, we use a generalized…

Disordered Systems and Neural Networks · Physics 2015-09-28 N. Moure , S. Haas , S. Kettemann

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…

Disordered Systems and Neural Networks · Physics 2022-02-16 Kévin Hémery , Frank Pollmann , Adam Smith

We characterise and study dynamical localisation of a finite interacting quantum many-body system. We present explicit bounds on the disorder strength required for the onset of localisation of the dynamics of arbitrary ensemble of sites of…

Mathematical Physics · Physics 2014-02-07 P. -L. Giscard , Z. Choo , M. T. Mitchison , J. J. Mendoza-Arenas , D. Jaksch

We prove the existence of extensive many-body Hamiltonians with few-body interactions and a many-body mobility edge: all eigenstates below a nonzero energy density are localized in an exponentially small fraction of "energetically allowed…

Statistical Mechanics · Physics 2024-09-24 Chao Yin , Rahul Nandkishore , Andrew Lucas

We show that a quantum dynamical localization effect can be observed in a generic thermalization process of two weakly-coupled chaotic subsystems. Specifically, our model consists of the minimal experimentally relevant subsystems that…

Quantum Gases · Physics 2020-04-06 Christine Khripkov , Amichay Vardi , Doron Cohen

We study the potential influence of the particle multi-occupations on the stability of many-body localization in the disordered Bose-Hubbard model. Within the higher-energy section of the dynamical phase diagram, we find that there is no…

Disordered Systems and Neural Networks · Physics 2025-10-30 Jie Chen , Chun Chen , Xiaoqun Wang

In contrast with Anderson localization where a genuine localization is observed in real space, the many-body localization (MBL) problem is much less understood in the Hilbert space, support of the eigenstates. In this work, using exact…

Disordered Systems and Neural Networks · Physics 2019-11-06 Nicolas Macé , Fabien Alet , Nicolas Laflorencie

Quantum interference lies at the heart of several surprising equilibrium and non-equilibrium phenomena in many-body Physics. Here we discuss two recently explored non-equilibrium scenarios where external periodic drive applied to closed…

Other Condensed Matter · Physics 2017-08-02 Asmi Haldar , Arnab Das

The recent interest in aspects common to quantum information and condensed matter has prompted a prosperous activity at the border of these disciplines that were far distant until few years ago. Numerous interesting questions have been…

Quantum Physics · Physics 2008-11-26 Luigi Amico , Rosario Fazio , Andreas Osterloh , Vlatko Vedral

Recent work shows that highly excited many-body localized eigenstates can exhibit broken symmetries and topological order, including in dimensions where such order would be forbidden in equilibrium. In this paper we extend this analysis to…

Strongly Correlated Electrons · Physics 2014-04-15 Anushya Chandran , Vedika Khemani , C. R. Laumann , S. L. Sondhi

While many-body localization has primarily been studied in systems with a single local degree of freedom, experimental studies of many-body localization in cold atom systems motivate exploration of the disordered Hubbard model. With two…

Strongly Correlated Electrons · Physics 2019-09-18 Brandon Leipner-Johns , Rachel Wortis

Many-body localization (MBL) addresses the absence of thermalization in interacting quantum systems, with non-ergodic high-energy eigenstates behaving as ground states, only area-law entangled. However, computing highly excited many-body…

Disordered Systems and Neural Networks · Physics 2019-01-23 Maxime Dupont , Nicolas Laflorencie

There are multipartite entangled states in many-body systems which may be potential resources in various quantum applications. There are lots of methods to witness specific entangled systems. However, no efficient method is available to…

Quantum Physics · Physics 2022-04-20 Yan-Han Yang , Xue Yang , Ming-Xing Luo
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