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Related papers: Many-body localization transition in large quantum…

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Whether the many-body mobility edges can exist in a one-dimensional interacting quantum system is a controversial problem, mainly hampered by the limited system sizes amenable to numerical simulations. We investigate the transition from…

Disordered Systems and Neural Networks · Physics 2020-01-14 Xingbo Wei , Rubem Mondaini , Gao Xianlong

We investigate many body localization in the presence of a single particle mobility edge. By considering an interacting deterministic model with an incommensurate potential in one dimension we find that the single particle mobility edge in…

Strongly Correlated Electrons · Physics 2015-10-29 Xiaopeng Li , Sriram Ganeshan , J. H. Pixley , S. Das Sarma

We study the dynamics of an interacting quantum spin chain under the application of a linearly increasing field. This model exhibits a type of localization known as Stark many-body localization. The dynamics shows a strong dependence on the…

Disordered Systems and Neural Networks · Physics 2021-03-10 Elmer V. H. Doggen , Igor V. Gornyi , Dmitry G. Polyakov

We study the transitions between ergodic and many-body localized phases in spin systems, subject to quenched disorder, including the Heisenberg chain and the central spin model. In both cases systems with common spin lengths $1/2$ and $1$…

Disordered Systems and Neural Networks · Physics 2021-05-19 John Schliemann , Joao Vitor I. Costa , Paul Wenk , J. Carlos Egues

We reinvestigate the behavior of the conductivity of several disordered quantum lattice models at infinite temperature using exact diagonalization. Contrary to the conclusion drawn in a recent investigation of similar quantities in…

Disordered Systems and Neural Networks · Physics 2013-05-29 Timothy C. Berkelbach , David R. Reichman

We study the many-body localization of spin chain systems with quasiperiodic fields. We identify the lower bound for the critical disorder necessary to drive the transition between the thermal and many-body localized phase to be $W_{cl}\sim…

Disordered Systems and Neural Networks · Physics 2017-08-30 Mac Lee , Thomas R. Look , D. N. Sheng , S. P. Lim

The quantum random energy model provides a mean-field description of the equilibrium spin glass transition. We show that it further exhibits a many-body localization - delocalization (MBLD) transition when viewed as a closed quantum system.…

Statistical Mechanics · Physics 2014-11-27 C. R. Laumann , A. Pal , A. Scardicchio

We show that many-body localization, which exists in tight-binding models, is unstable in a continuum. Irrespective of the dimensionality of the system, many-body localization does not survive the unbounded growth of the single-particle…

Disordered Systems and Neural Networks · Physics 2017-08-02 I. V. Gornyi , A. D. Mirlin , M. Müller , D. G. Polyakov

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…

Disordered Systems and Neural Networks · Physics 2013-04-17 Shankar Iyer , Vadim Oganesyan , Gil Refael , David A. Huse

The transition between many-body localized states and the delocalized thermal states is an eigen-state phase transition at finite energy density outside the scope of conventional quantum statistical mechanics. In this work we investigate…

Strongly Correlated Electrons · Physics 2019-08-13 Wei Zhang , Ziqiang Wang

We conjecture that thermalization following a quantum quench in a strongly correlated quantum system is closely connected to many-body delocalization in the space of quasi-particles. This scenario is tested in the anisotropic Heisenberg…

Statistical Mechanics · Physics 2011-04-04 Elena Canovi , Davide Rossini , Rosario Fazio , Giuseppe E. Santoro , Alessandro Silva

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…

Disordered Systems and Neural Networks · Physics 2018-04-20 Piero Naldesi , Elisa Ercolessi , Tommaso Roscilde

We show that a tight-binding one-dimensional chain composed of interacting and non-interacting atomic sites can exhibit multiple mobility edges at different values of carrier energy in presence of external electric field. Within a mean…

Mesoscale and Nanoscale Physics · Physics 2013-03-29 Santanu K. Maiti , Abraham Nitzan

What happens in an isolated quantum system when both disorder and interactions are present? Over the recent years, the picture of a non-thermalizing phase of matter, the many-localized phase, has emerged as a stable solution. We present a…

Strongly Correlated Electrons · Physics 2018-05-22 Fabien Alet , Nicolas Laflorencie

When pushed out of equilibrium, generic interacting quantum systems equilibrate locally and are expected to evolve towards a locally thermal description despite their unitary time evolution. Systems in which disorder competes with…

Disordered Systems and Neural Networks · Physics 2019-05-29 Marcel Goihl , Jens Eisert , Christian Krumnow

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

In the presence of sufficiently strong disorder or quasiperiodic fields, an interacting many-body system can fail to thermalize and become many-body localized. The associated transition is of particular interest, since it occurs not only in…

We theoretically investigate the many-body localization phase transition in a one-dimensional Ising spin chain with random long-range spin-spin interactions, $V_{ij}\propto\left|i-j\right|^{-\alpha}$, where the exponent of the interaction…

Quantum Gases · Physics 2016-12-28 Haoyuan Li , Jia Wang , Xia-Ji Liu , Hui Hu

We consider a one dimensional spin $1/2$ chain with Heisenberg interaction in a disordered parallel magnetic field. This system is known to exhibit the many body localization (MBL) transition at critical strength of disorder. We analyze the…

Disordered Systems and Neural Networks · Physics 2017-03-01 Canran Xu , Maxim G. Vavilov

The presence of frozen uncorrelated random on-site potential in interacting quantum systems can induce a transition from an ergodic phase to a localized one, the so-called many-body localization. Here we numerically study the effects of…

Disordered Systems and Neural Networks · Physics 2023-01-05 Isaías Vallejo-Fabila , E. Jonathan Torres-Herrera