Experimental realization of an ideal Floquet disordered system

Hainaut, Clément; Rançon, Adam; Clément, Jean‐François; Szriftgiser, Pascal; Delande, Dominique; Garreau, Jean Claude; Chicireanu, Radu

doi:10.1088/1367-2630/ab0a79

Cited by 16 publications

(12 citation statements)

References 43 publications

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“…Exploration localization induced by disorder is a longstanding research topic in condensed matter physics. The Anderson localization induced by random disorder first proposed by P. W. Anderson since 1958 1 has found its way across a wide range of different fields, such as cold atomic gases [2][3][4][5][6][7][8][9] , quantum optics [10][11][12][13][14] , acoustic waves 15 and electronic systems 16 . In comparison with the random disorder cases, the quasicrystal systems constitute an intermediate phase between periodic lattices and disorder media, which displays a long-range order but no periodicity.…”

Section: Introductionmentioning

confidence: 99%

Dynamical evolution in a one-dimensional incommensurate lattice with $\mathcal{PT}$ symmetry

Xu,

Chen

2021

Preprint

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We investigate the dynamical evolution of a parity-time (PT ) symmetric extension of Aubry-André (AA) model which exhibits the coincidence of localization-delocalization transition point with PT symmetry breaking point. One can apply the evolution of the profile of the wave packet and the long-time survival probability to distinguish the localization regimes in PT symmetric AA model. The results of the mean displacement show that when the system is in the PT symmetry unbroken regime, the wave packet spreading is ballistic which is different from that in PT symmetry broken regime. Furthermore, we discuss the distinctive features of the Loschmidt echo with the post-quench parameter being localized in different PT symmetric regimes.

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Section: Introductionmentioning

confidence: 99%

Dynamical evolution in a one-dimensional incommensurate lattice with $\mathcal{PT}$ symmetry

Xu,

Chen

2021

Preprint

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“…More than 60 years ago, Anderson predicted and explained the well-known 'Anderson localization' in his landmark paper [1] which has been widely recognized as one of the significant phenomena in the condensed matter. In the years since, Anderson localization has found its way across a wide range of different topics, such as electronic systems [2], acoustic waves [3], quantum optics [4][5][6][7][8] and cold atomic gases [9][10][11][12][13][14][15][16]. A single-particle mobility edge as one of the most important concepts in a disordered system marks a critical energy E c separating localized from extended energy states and depends both on the disorder amplitudes and on the types of the disorder [17,18].…”

Section: Introductionmentioning

confidence: 99%

Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices

Huangfu

Zhang

et al. 2020

New J. Phys.

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We investigate the wave packet dynamics for a one-dimensional incommensurate optical lattice with a special on-site potential which exhibits the mobility edge in a compactly analytic form. We calculate the density propagation, long-time survival probability and mean square displacement of the wave packet in the regime with the mobility edge and compare with the cases in extended, localized and multifractal regimes. Our numerical results indicate that the dynamics in the mobility-edge regime mix both extended and localized features which is quite different from that in the mulitfractal phase. We utilize the Loschmidt echo dynamics by choosing different eigenstates as initial states and sudden changing the parameters of the system to distinguish the phases in the presence of such system.

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“…Floquet engineering allows mimicking to a high degree of details the physics of quantum disordered systems. In this context, the atom-optics realization [4] of the quantum kicked rotor (QKR) [5,6] has proven to be an almost ideal quantum simulator [7]. While the associated dynamics is known to display dynamical localization, which is the analogue of Anderson localization in momentum space [8], the QKR can, in fact, be rigorously mapped onto a 1D Anderson model [9].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of the mean-field-interacting quantum kicked rotor

et al. 2020

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We study the dynamics of the many-body atomic kicked rotor with interactions at the mean-field level, governed by the Gross-Pitaevskii equation. We show that dynamical localization is destroyed by the interaction, and replaced by a subdiffusive behavior. In contrast to results previously obtained from a simplified version of the Gross-Pitaevskii equation, the subdiffusive exponent does not appear to be universal. By studying the phase of the mean-field wave function, we propose a new approximation that describes correctly the dynamics at experimentally relevant times close to the start of subdiffusion, while preserving the reduced computational cost of the former approximation.

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Experimental realization of an ideal Floquet disordered system

Cited by 16 publications

References 43 publications

Dynamical evolution in a one-dimensional incommensurate lattice with $\mathcal{PT}$ symmetry

Dynamical evolution in a one-dimensional incommensurate lattice with $\mathcal{PT}$ symmetry

Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices

Dynamics of the mean-field-interacting quantum kicked rotor

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