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The possibility of observing many body localization of ultracold atoms in a one dimensional optical lattice is discussed for random interactions. In the non-interacting limit, such a system reduces to single-particle physics in the absence…

Quantum Gases · Physics 2017-02-15 Piotr Sierant , Dominique Delande , Jakub Zakrzewski

One fundamental assumption in statistical physics is that generic closed quantum many-body systems thermalize under their own dynamics. Recently, the emergence of many-body localized systems has questioned this concept, challenging our…

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

Many-body localization transition in a periodically driven quantum system is investigated using a solution of a matching Bethe lattice problem for Floquet states of a quantum random energy model with a generalization to more realistic…

Disordered Systems and Neural Networks · Physics 2017-02-07 Alexander L. Burin

When a free Fermi gas on a lattice is subject to the action of a linear potential it does not drift away, as one would naively expect, but it remains spatially localized. Here we revisit this phenomenon, known as Stark localization, within…

Statistical Mechanics · Physics 2023-08-09 Luca Capizzi , Carlo Vanoni , Pasquale Calabrese , Andrea Gambassi

We consider spinless fermions on a finite one-dimensional lattice, interacting via nearest-neighbor repulsion and subject to a strong electric field. In the non-interacting case, due to Wannier-Stark localization, the single-particle wave…

Disordered Systems and Neural Networks · Physics 2019-03-20 M. Schulz , C. A. Hooley , R. Moessner , F. Pollmann

The strong long-range interaction leads to localization in the closed quantum system without disorders. Employing the exact diagonalization method, the author numerically investigates thermalization and many-body localization in…

Disordered Systems and Neural Networks · Physics 2023-10-17 Chen Cheng

We numerically study the possibility of many-body localization transition in a disordered quantum dimer model on the honeycomb lattice. By using the peculiar constraints of this model and state-of-the-art exact diagonalization and time…

Disordered Systems and Neural Networks · Physics 2021-02-24 Francesca Pietracaprina , Fabien Alet

We study the relaxation dynamics of strongly interacting quantum systems that display a kind of many-body localization in spite of their translation-invariant Hamiltonian. We show that dynamics starting from a random initial configuration…

Disordered Systems and Neural Networks · Physics 2015-05-08 Mauro Schiulaz , Alessandro Silva , Markus Müller

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 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 investigate dynamical quantum phase transitions in disordered quantum many-body models that can support many-body localized phases. Employing $l$-bits formalism, we lay out the conditions for which singularities indicative of the…

Statistical Mechanics · Physics 2019-03-11 Jad C. Halimeh , Nikolay Yegovtsev , Victor Gurarie

The fate of many-body localization in long-range interacting systems is not fully settled. For instance, the phase boundary between ergodic and many-body localized regimes is still under debate. Here, we use Floquet dynamics which can…

Quantum Physics · Physics 2023-02-14 Rozhin Yousefjani , Sougato Bose , Abolfazl Bayat

We experimentally observe many-body localization of interacting fermions in a one-dimensional quasi-random optical lattice. We identify the many-body localization transition through the relaxation dynamics of an initially-prepared charge…

Many-body localization is a unique physical phenomenon driven by interactions and disorder for which a quantum system can evade thermalization. While the existence of a many-body localized phase is now well-established in one-dimensional…

Disordered Systems and Neural Networks · Physics 2020-08-06 Hugo Théveniaut , Zhihao Lan , Gabriel Meyer , Fabien Alet

In quantum statistical mechanics, closed many-body systems that do not exhibit thermalization after an arbitrarily long time in spite of the presence of interactions are called as many-body localized systems, and recently have been…

High Energy Physics - Theory · Physics 2018-12-14 Fumihiko Sugino , Pramod Padmanabhan

Many-body quantum systems typically display fast dynamics and ballistic spreading of information. Here we address the open problem of how slow the dynamics can be after a generic breaking of integrability by local interactions. We develop a…

Disordered Systems and Neural Networks · Physics 2018-03-23 Alexios A. Michailidis , Marko Žnidarič , Mariya Medvedyeva , Dmitry A. Abanin , Tomaž Prosen , Zlatko Papić

Localization due to the presence of disorder has proven crucial for our current understanding of relaxation in isolated quantum systems. The many-body localized phase constitutes a robust alternative to the thermalization of complex…

Strongly Correlated Electrons · Physics 2020-10-21 Irene Papaefstathiou , Adam Smith , Johannes Knolle

Many-body localization for a system of bosons trapped in a one dimensional lattice is discussed. Two models that may be realized for cold atoms in optical lattices are considered. The model with a random on-site potential is compared with…

Disordered Systems and Neural Networks · Physics 2018-04-24 Piotr Sierant , Jakub Zakrzewski

Many-body localization occurs in isolated quantum systems when Anderson localization persists in the presence of finite interactions. Despite strong evidence for the existence of a many-body localization transition a reliable extraction of…

Strongly Correlated Electrons · Physics 2014-09-17 Jonas A. Kjäll , Jens H. Bardarson , Frank Pollmann
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