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We demonstrate analytically and numerically that in isolated quantum systems of many interacting particles, the number of many-body states participating in the evolution after a quench increases exponentially in time, provided the…

Statistical Mechanics · Physics 2019-04-01 Fausto Borgonovi , Felix M. Izrailev , Lea F. Santos

The entanglement can be localized between two noncomplementary parts of a many-body system by performing measurements on the rest of the system. This localized entanglement (LE) depends on the chosen basis set of measurement (BSM). We…

Quantum Physics · Physics 2012-11-20 Shaon Sahoo

We investigate how information spreads in three paradigmatic one-dimensional models with spatial disorder. The models we consider are unitarily related to a system of free fermions and are thus manifestly integrable. We demonstrate that…

Strongly Correlated Electrons · Physics 2019-01-23 Max McGinley , Andreas Nunnenkamp , Johannes Knolle

We investigate the entanglement within a system undergoing a random, local process. We find that there is initially a phase of very fast generation and spread of entanglement. At the end of this phase the entanglement is typically maximal.…

Quantum Physics · Physics 2009-11-13 O. C. O. Dahlsten , R. Oliveira , M. B. Plenio

We model a one-dimensional (1D) current-driven interacting disordered system through a non-Hermitian Hamiltonian with asymmetric hopping and study the entanglement properties of its eigenstates. In particular, we investigate whether a…

Disordered Systems and Neural Networks · Physics 2020-05-08 Animesh Panda , Sumilan Banerjee

We study the time evolution after a quantum quench in a family of models whose degrees of freedom are fermions coupled to spins, where quenched disorder appears neither in the Hamiltonian parameters nor in the initial state. Focussing on…

Strongly Correlated Electrons · Physics 2017-10-27 Adam Smith , Johannes Knolle , Roderich Moessner , Dmitry L. Kovrizhin

In a recent publication, we have discussed the effects of boundary conditions in finite quantum systems and their connection with symmetries. Focusing on the one-dimensional Hubbard Hamiltonian under twisted boundary conditions, we have…

Strongly Correlated Electrons · Physics 2018-08-01 Krissia Zawadzki , Irene D'Amico , Luiz N. Oliveira

We investigate the relation between thermalization following a quantum quench and many-body localization in quasiparticle space in terms of the long-time full distribution function of physical observables. In particular, expanding on our…

Statistical Mechanics · Physics 2012-09-26 Elena Canovi , Davide Rossini , Rosario Fazio , Giuseppe E. Santoro , Alessandro Silva

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 present a detailed analysis of the length- and timescales needed to approach the critical region of MBL from the delocalised phase, studying both eigenstates and the time evolution of an initial state. For the eigenstates we show that in…

Disordered Systems and Neural Networks · Physics 2020-02-10 Rajat K. Panda , Antonello Scardicchio , Maximilian Schulz , Scott R. Taylor , Marko Žnidarič

We consider the variation of von Neumann entropy of subsystem reduced states of general many- body lattice spin systems due to local quantum quenches. We obtain Lieb-Robinson-like bounds that are independent of the subsystem volume. The…

Quantum Physics · Physics 2017-06-08 Raphael C. Drumond , Natália S. Móller

We study one-dimensional spinless fermions with random interactions, but without any on-site disorder. We find that random interactions generically stabilize a many-body localized phase, in spite of the completely extended single-particle…

Statistical Mechanics · Physics 2017-02-01 Xiaopeng Li , Dong-Ling Deng , Yang-Le Wu , S. Das Sarma

Thermalization of random-field Heisenberg spin chain is probed by time evolution of density correlation functions. Studying the impacts of average energies of initial product states on dynamics of the system, we provide arguments in favor…

Disordered Systems and Neural Networks · Physics 2020-10-13 Titas Chanda , Piotr Sierant , Jakub Zakrzewski

We use an external spin as a dynamical probe of many body localization. The probe spin is coupled to an interacting and disordered environment described by a Heisenberg spin chain in a random field. The spin-chain environment can be tuned…

Disordered Systems and Neural Networks · Physics 2016-11-30 Evert P. L. van Nieuwenburg , Sebastian D. Huber , R. Chitra

Can localization persist when interaction grows infinitely stronger than randomness? If so, is it many-body Anderson localization? How about the associated localization transition in the infinite-interaction limit? To tackle these…

Disordered Systems and Neural Networks · Physics 2022-12-06 Chun Chen , Yan Chen , Xiaoqun Wang

We examine the dynamics of nearest-neighbor bipartite concurrence and total correlations in the spin-1/2 $XXZ$ model with random fields. We show, starting from factorized random initial states, that the concurrence can suffer entanglement…

Statistical Mechanics · Physics 2017-08-08 Steve Campbell , Matthew J. M. Power , Gabriele De Chiara

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

In the context of the Many-Body-Localization phenomenology we consider arbitrarily large one-dimensional local spin systems, the XXZ model with random magnetic field is a prototypical example. Without assuming the existence of exponentially…

Disordered Systems and Neural Networks · Physics 2025-08-19 Daniele Toniolo , Sougato Bose

We numerically study the behaviour of entanglement entropy for a free scalar field on the noncommutative ("fuzzy") sphere after a mass quench. It is known that the entanglement entropy before a quench violates the usual area law due to the…

High Energy Physics - Theory · Physics 2017-09-04 Philippe Sabella-Garnier

We provide evidence that a clean kicked Bose-Hubbard model exhibits a many-body dynamically localized phase. This phase shows ergodicity breaking up to the largest sizes we were able to consider. We argue that this property persists in the…

Quantum Gases · Physics 2020-02-19 Michele Fava , Rosario Fazio , Angelo Russomanno
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