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We study many-body localised quantum systems subject to periodic driving. We find that the presence of a mobility edge anywhere in the spectrum is enough to lead to delocalisation for any driving strength and frequency. By contrast, for a…

Statistical Mechanics · Physics 2015-07-28 Achilleas Lazarides , Arnab Das , Roderich Moessner

We investigate a quantum dynamical entropy of one-dimesional quantum spin systems. We show that the dynamical entropy is bounded from above by a quantity which is related with group velocity determined by the interaction and mean entropy of…

Quantum Physics · Physics 2015-06-26 Takayuki Miyadera , Masanori Ohya

We consider systems of interacting spins and study the entanglement that can be localized, on average, between two separated spins by performing local measurements on the remaining spins. This concept of Localizable Entanglement (LE) leads…

Quantum Physics · Physics 2007-05-23 M. Popp , F. Verstraete , M. A. Martin-Delgado , J. I. Cirac

Recent years have seen an increasing interest in quantum chaos and related aspects of spatially extended systems, such as spin chains. However, the results are strongly system dependent, generic approaches suggest the presence of many-body…

Statistical Mechanics · Physics 2020-05-26 Petr Braun , Daniel Waltner , Maram Akila , Boris Gutkin , Thomas Guhr

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

Localized spins in the solid state are attracting widespread attention as highly sensitive quantum sensors with nanoscale spatial resolution and fascinating applications. Recently, adaptive measurements were used to improve the dynamic…

Quantum Physics · Physics 2018-09-26 Yi-Hao Zhang , Wen Yang

This article studies the decoherence induced on a system of two qubits by local interactions with a spin chain with nontrivial internal dynamics (governed by an XY Hamiltonian). Special attention is payed to the transition between two…

Quantum Physics · Physics 2013-05-29 Cecilia Cormick , Juan Pablo Paz

Atom-optics kicked rotor represents an experimentally realizable version of the paradigmatic quantum kicked rotor system. After a short initial diffusive phase the cloud settles down to a stationary state due to the onset of dynamical…

Staring from the kicked rotator as a paradigm for a system exhibiting classical chaos, we discuss the role of quantum coherence resulting in dynamical localization in the kicked quantum rotator. In this context, the disorder-induced…

Statistical Mechanics · Physics 2023-07-19 L. Chotorlishvili , S. Stagraczyński , M. Schüler , J. Berakdar

The Lieb-Robinson bound shows the existence of a maximum speed of signal propagation in discrete quantum mechanical systems with local interactions. This generalizes the concept of relativistic causality beyond field theory, and provides a…

Quantum Physics · Physics 2013-05-29 David Poulin

We study the pairwise entanglement present in a quantum computer that simulates a dynamically localized system. We show that the concurrence is exponentially sensitive to changes in the Hamiltonian of the simulated system. Moreover,…

Quantum Physics · Physics 2009-11-10 Simone Montangero

A periodically driven rotor is a prototypical model that exhibits a transition to chaos in the classical regime and dynamical localization (related to Anderson localization) in the quantum regime. In a recent work [Phys. Rev. B 94, 085120…

Disordered Systems and Neural Networks · Physics 2017-02-07 Efim B. Rozenbaum , Victor Galitski

We study the dynamical localization of discrete time evolution of topological split-step quantum random walk (QRW) on a single-site defect starting from a uniform distribution. Using analytical and numerical calculations, we determine the…

Quantum Physics · Physics 2025-02-14 D. O. Oriekhov , Guliuxin Jin , Eliska Greplova

We give an introduction into some aspects of the emerging mathematical theory of many-body localization (MBL) for disordered quantum spin chains. In particular, we discuss manifestations of MBL such as zero-velocity Lieb-Robinson bounds,…

Mathematical Physics · Physics 2019-02-15 Günter Stolz

Correlations and measures of entanglement in ground state wavefunctions of relativistic quantum field theories are spatially localized over length scales set by the mass of the lightest particle. We utilize this localization to design…

Quantum Physics · Physics 2020-07-29 Natalie Klco , Martin J. Savage

We study the dynamics of a one-dimensional lattice model of hard core bosons which is initially in a superfluid phase with a current being induced by applying a twist at the boundary. Subsequently, the twist is removed and the system is…

Statistical Mechanics · Physics 2015-06-18 Tanay Nag , Sthitadhi Roy , Amit Dutta , Diptiman Sen

We show that the correlations in stochastic outputs of time-distributed weak measurements can be used to study the dynamics of an individual quantum object, with a proof-of-principle setup based on small Faraday rotation caused by a single…

Mesoscale and Nanoscale Physics · Physics 2010-01-20 R. -B. Liu , Shu-Hong Fung , Hok-Kin Fung , A. N. Korotkov , L. J. Sham

We study quantum kicked rotator in the classically fully chaotic regime, in the domain of the semiclassical behaviour. We use Izrailev's N-dimensional model for various N<=4000, which in the limit N-> infinity tends to the quantized kicked…

Chaotic Dynamics · Physics 2013-12-31 Thanos Manos , Marko Robnik

Dynamical localization, i.e. the absence of secular spreading of a quantum or classical wave packet, is usually associated to Hamiltonians with purely point spectrum, i.e. with a normalizable and complete set of eigenstates, which show…

Optics · Physics 2016-01-15 Stefano Longhi

The one-parameter scaling theory of localization predicts that all states in a disordered two-dimensional system with broken time reversal symmetry are localized even in the presence of strong spin-orbit coupling. While at constant strong…

Disordered Systems and Neural Networks · Physics 2017-06-27 Ying Su , C. Wang , Y. Avishai , Yigal Meir , X. R. Wang
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