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We study the high-energy phase diagram of a two-dimensional spin-$\frac{1}{2}$ Heisenberg model on a square lattice in the presence of either quenched or quasiperiodic disorder. The use of large-scale tensor network numerics allows us to…

Disordered Systems and Neural Networks · Physics 2022-11-24 Kevin S. C. Decker , Dante M. Kennes , Christoph Karrasch

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

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

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

The Loschmidt echo - the probability of a quantum many-body system to return to its initial state following a dynamical evolution - generally contains key information about a quantum system, relevant across various scientific fields…

We consider a quench in an infinite spin ladder describing a system with two species of bosons in the limit of strong interactions. If the heavy bosonic species has infinite mass the model becomes a spin chain with quenched binary disorder…

Disordered Systems and Neural Networks · Physics 2019-03-01 J. Sirker

Whether disordered and quasiperiodic many-body quantum systems host a long-lived localized phase in the thermodynamic limit has been the subject of intense recent debate. While in one dimension substantial evidence for the existence of such…

Disordered Systems and Neural Networks · Physics 2022-11-30 Antonio Štrkalj , Elmer V. H. Doggen , Claudio Castelnovo

We are interested in how quantum data can allow for practical solutions to otherwise difficult computational problems. A notoriously difficult phenomenon from quantum many-body physics is the emergence of many-body localization (MBL). So…

Disordered Systems and Neural Networks · Physics 2022-02-21 Alexander Gresch , Lennart Bittel , Martin Kliesch

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

Recently, it has been suggested that the Many-Body Localized phase can be characterized by local integrals of motion. Here we introduce a Hilbert space preserving renormalization scheme that iteratively finds such integrals of motion…

Strongly Correlated Electrons · Physics 2016-01-13 Louk Rademaker , Miguel Ortuño

We investigate many-body localization in the chain of interacting spins with a transverse power-law interaction, $J_{0}/r^{\alpha}$, and random on-site potentials, $\phi_i \in \left(-W/2,W/2\right)$, in the long-range limit, $\alpha< 3/2$,…

Disordered Systems and Neural Networks · Physics 2020-01-15 Andrii O. Maksymov , Alexander L. Burin

We show that a quantum phase transition from ergodic to many-body localized (MBL) phases can be induced via periodic pulsed manipulation of spin systems. Such a transition is enabled by the interplay between weak disorder and slow heating…

Disordered Systems and Neural Networks · Physics 2018-03-28 Soonwon Choi , Dmitry A. Abanin , Mikhail D. Lukin

Quantum systems that violate the eigenstate thermalisation hypothesis thereby falling outside the paradigm of conventional statistical mechanics are of both intellectual and practical interest. We show that such a breaking of ergodicity may…

Disordered Systems and Neural Networks · Physics 2020-05-20 Sthitadhi Roy , Achilleas Lazarides

Many-body localization (MBL) has emerged as a novel paradigm for robust ergodicity breaking in closed quantum many-body systems. However, it is not yet clear to which extent MBL survives in the presence of dissipative processes induced by…

Strongly Correlated Electrons · Physics 2016-06-21 Emanuele Levi , Markus Heyl , Igor Lesanovsky , Juan P. Garrahan

Determining the border between ergodic and localized behavior is of central interest for interacting many-body systems. We consider here the recently very popular spin-chain model that is periodically excited. A convenient description of…

Statistical Mechanics · Physics 2021-09-01 Daniel Waltner , Petr Braun

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…

Disordered Systems and Neural Networks · Physics 2024-02-20 Jiameng Hong , Taotao Hu

We formulate a dynamical real space renormalization group approach to describe the time evolution of a random spin-1/2 chain, or interacting fermions, initialized in a state with fixed particle positions. Within this approach we identify a…

Disordered Systems and Neural Networks · Physics 2014-11-04 Ronen Vosk , Ehud Altman

In this manuscript, we explore the feasibility of achieving many-body localization in the context of cavity quantum electrodynamics at strong coupling. Working with a spinless electronic Hubbard chain sitting coupled to a single-mode…

Mesoscale and Nanoscale Physics · Physics 2023-07-20 Rong-Chun Ge , Saeed Rahmanian Koshkaki , Michael H. Kolodrubetz

We generalize Page's result on the entanglement entropy of random pure states to the many-body eigenstates of realistic disordered many-body systems subject to long range interactions. This extension leads to two principal conclusions:…

Disordered Systems and Neural Networks · Physics 2021-07-21 Felipe Monteiro , Masaki Tezuka , Alexander Altland , David A. Huse , Tobias Micklitz

We investigate the localization properties of a spin chain with an antiferromagnetic nearest-neighbour coupling, subject to an external quasiperiodic on-site magnetic field. The quasiperiodic modulation interpolates between two paradigmatic…

Disordered Systems and Neural Networks · Physics 2021-09-22 Antonio Štrkalj , Elmer V. H. Doggen , Igor V. Gornyi , Oded Zilberberg
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