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We investigate the emergence of many-body dynamical localization (MBDL) in the Fock space of an interacting two-mode bosonic system subject to periodic driving. Using a mapping to the paradigmatic kicked-top model, we analyze the interplay…

The nonlinear effect of a driving force in periodically driven quantum many-body systems can be systematically investigated by analyzing the effective Floquet Hamiltonian. In particular, under an appropriate definition of the effective…

Quantum Physics · Physics 2021-04-01 Kentaro Sugimoto , Seiji Yunoki

We observe the emergence of a disorder-induced insulating state in a strongly interacting atomic Fermi gas trapped in an optical lattice. This closed quantum system free of a thermal reservoir realizes the disordered Fermi-Hubbard model,…

Quantum Gases · Physics 2015-03-05 S. S. Kondov , W. R. McGehee , W. Xu , B. DeMarco

Quasiperiodic systems serve as fertile ground for studying localisation, due to their propensity already in one dimension to exhibit rich phase diagrams with mobility edges. The deterministic and strongly-correlated nature of the…

Disordered Systems and Neural Networks · Physics 2021-08-11 Alexander Duthie , Sthitadhi Roy , David E. Logan

Local observables in generic periodically driven closed quantum systems are known to relax to values described by periodic infinite temperature ensembles. At the same time, ergodic static systems exhibit anomalous thermalization of local…

Disordered Systems and Neural Networks · Physics 2018-08-15 Sthitadhi Roy , Yevgeny Bar Lev , David J. Luitz

For the general class of quasifree fermionic right mover/left mover systems over the infinitely extended two-sided discrete line introduced in [8] within the algebraic framework of quantum statistical mechanics, we study the von Neumann…

Mathematical Physics · Physics 2025-05-27 Walter H. Aschbacher

The interplay between local, repulsive interactions and disorder acting only on one spin orientation of lattice fermions ("spin-dependent disorder") is investigated. The nonmagnetic disorder vs. interaction phase diagram is computed using…

Disordered Systems and Neural Networks · Physics 2015-09-25 J. Skolimowski , D. Vollhardt , K. Byczuk

We study a generic class of fermionic two-band models under synchronized periodic driving, i.e., with the different terms in a Hamiltonian subject to periodic drives with the same frequency and phase. With all modes initially in a maximally…

Statistical Mechanics · Physics 2022-04-05 R. Jafari , Alireza Akbari , Utkarsh Mishra , Henrik Johannesson

We develop a semiclassical theory for spin-dependent quantum transport to describe weak (anti)localization in quantum dots with spin-orbit coupling. This allows us to distinguish different types of spin relaxation in systems with chaotic,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Oleg Zaitsev , Diego Frustaglia , Klaus Richter

Peridynamics is a nonlocal continuum-mechanical theory based on minimal regularity on the deformations. Its key trait is that of replacing local constitutive relations featuring spacial differential operators with integrals over differences…

Analysis of PDEs · Mathematics 2018-05-23 Martin Kružík , Carlos Mora-Corral , Ulisse Stefanelli

We study the entanglement dynamics of discrete time quantum walks acting on bounded finite sized graphs. We demonstrate that, depending on system parameters, the dynamics may be monotonic, oscillatory but highly regular, or quasi-periodic.…

Quantum Physics · Physics 2012-03-07 Peter P. Rohde , Alessandro Fedrizzi , Timothy C. Ralph

The periodically $\delta$-kicked quantum linear rotor is known to experience non-classical bounded energy growth due to quantum dynamical localization in angular momentum space. We study the effect of random deviations of the kick period in…

Optics · Physics 2015-04-02 Andrei Kamalov , Douglas W. Broege , Philip H. Bucksbaum

We consider the one-dimensional $XX$-model in a quasi-periodic transverse-field described by the Harper potential, which is equivalent to a tight-binding model of spinless fermions with a quasi-periodic chemical potential. For weak…

Disordered Systems and Neural Networks · Physics 2014-11-26 Gergö Roósz , Uma Divakaran , Heiko Rieger , Ferenc Iglói

Quasiperiodic long range order is intermediate between spatial periodicity and disorder, and the excitations in 1D quasiperiodic systems are believed to be transitional between extended and localized. These ideas are tested with a numerical…

Condensed Matter · Physics 2009-10-28 S. E. Burkov , B. E. C. Koltenbah , L. W. Bruch

Subjecting a many-body localized system to a time-periodic drive generically leads to delocalization and a transition to ergodic behavior if the drive is sufficiently strong or of sufficiently low frequency. Here we show that a specific…

Disordered Systems and Neural Networks · Physics 2017-07-24 Eyal Bairey , Gil Refael , Netanel H. Lindner

Violent relaxation is a process that occurs in systems with long-range interactions. It has the peculiar feature of dramatically amplifying small perturbations, and rather than driving the system to equilibrium it instead leads to slowly…

Statistical Mechanics · Physics 2018-07-18 Ryan Plestid , Perry Mahon , Duncan O'Dell

Periodic drives are a common tool to control physical systems, but have a limited applicability because time-dependent drives generically lead to heating. How to prevent the heating is a fundamental question with important practical…

Disordered Systems and Neural Networks · Physics 2018-10-24 Atanu Rajak , Roberta Citro , Emanuele G. Dalla Torre

We systematically study the effect of disorder and interactions on a quasi-one dimensional diamond chain possessing flat bands. Disorder localizes all the single particle eigenstates, while at low disorder strengths we obtain weak flat-band…

Disordered Systems and Neural Networks · Physics 2020-12-24 Nilanjan Roy , Ajith Ramachandran , Auditya Sharma

The theoretical treatment of quasi-periodically driven quantum systems is complicated by the inapplicability of the Floquet theorem, which requires strict periodicity. In this work we consider a quantum system driven by a bi-harmonic…

Statistical Mechanics · Physics 2018-06-26 David Cubero , Ferruccio Renzoni

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