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We investigate the full quantum evolution of ultracold interacting bosonic atoms on a chain and coupled to an optical cavity. Extending the time-dependent matrix product state techniques and the many-body adiabatic elimination technique to…

Quantum Gases · Physics 2020-09-02 Catalin-Mihai Halati , Ameneh Sheikhan , Helmut Ritsch , Corinna Kollath

The celebrated Dyson singularity signals the relative delocalization of single-particle wave functions at the zero-energy symmetry point of disordered systems with a chiral symmetry. Here we show that analogous zero modes in interacting…

Strongly Correlated Electrons · Physics 2020-05-06 Christian P. Chen , Marcin Szyniszewski , Henning Schomerus

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

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 present a mapping between the Edwards model of disorder describing the motion of a single particle subject to randomly-positioned static scatterers and the Bose polaron problem of a light quantum impurity interacting with a Bose-Einstein…

Quantum Gases · Physics 2022-02-07 Félix Rose , Richard Schmidt

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…

Strongly Correlated Electrons · Physics 2021-01-27 Mohammad Pouranvari , Shiuan-Fan Liou

We propose a method to obtain the thermal-equilibrium density matrix of a many-body quantum system using artificial neural networks. The variational function of the many-body density matrix is represented by a convolutional neural network…

Disordered Systems and Neural Networks · Physics 2020-03-18 Naoki Irikura , Hiroki Saito

Many-body localization is a striking mechanism that prevents interacting quantum systems from thermalizing. The absence of thermalization behaviour manifests itself, for example, in a remanence of local particle number configurations, a…

Strongly Correlated Electrons · Physics 2020-12-30 Augustine Kshetrimayum , Marcel Goihl , Jens Eisert

Recently it has been suggested that many-body localization (MBL) can occur in translation-invariant systems, and candidate 1D models have been proposed. We find that such models, in contrast to MBL systems with quenched disorder, typically…

Statistical Mechanics · Physics 2016-08-08 Z. Papic , E. M. Stoudenmire , Dmitry A. Abanin

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 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

As strength of disorder enhances beyond a threshold value in many-body systems, a fundamental transformation happens through which the entire spectrum localizes, a phenomenon known as many-body localization. This has profound implications…

We argue that the quenched ultracold plasma presents an experimental platform for studying quantum many-body physics of disordered systems in the long-time and finite energy-density limits. We consider an experiment that quenches a plasma…

Plasma Physics · Physics 2018-03-21 John Sous , Edward Grant

We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all states and thus effectively working at infinite…

Disordered Systems and Neural Networks · Physics 2015-03-13 Arijeet Pal , David A. Huse

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…

We study the real-time dynamics of a translationally invariant quantum spin chain, based on the East kinetically constrained glass model, in search for evidence of many-body localisation in the absence of disorder. Numerical simulations…

Statistical Mechanics · Physics 2015-10-07 Merlijn van Horssen , Emanuele Levi , Juan P. Garrahan

We analyze the localization properties of the disordered Hubbard model in the presence of a synthetic magnetic field. An analysis of level spacing ratio shows a clear transition from ergodic to many-body localized phase. The transition…

Disordered Systems and Neural Networks · Physics 2021-01-08 Kuldeep Suthar , Piotr Sierant , Jakub Zakrzewski

We show, using quasi-exact numerical simulations, that Anderson localization of one-dimensional particles in a disordered potential survives in the presence of attractive interaction between particles. The localization length of the…

We present a non-destructive method to probe a complex quantum system using multiple impurity atoms as quantum probes. Our protocol provides access to different equilibrium properties of the system by changing its coupling to the probes. In…

Quantum Physics · Physics 2016-11-29 Michael Streif , Andreas Buchleitner , Dieter Jaksch , Jordi Mur-Petit

Using exact diagonalization technique, we investigate the many-body localization phenomenon in the 1D Heisenberg chain comparing several disorder models. In particular we consider a family of discrete distributions of disorder strengths and…

Disordered Systems and Neural Networks · Physics 2018-04-25 Jakub Janarek , Dominique Delande , Jakub Zakrzewski