Dynamical Many-body Delocalization Transition Of A Tonks Gas In A Quasi-periodic Driving Potential

Vincent Vuatelet and Adam Rançon

Univ. Lille, CNRS, UMR 8523 – PhLAM – Laboratoire de Physique des Lasers, Atomes et Molécules, F-59000 Lille, France

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Abstract

The quantum kicked rotor is well-known for displaying dynamical (Anderson) localization. It has recently been shown that a periodically kicked Tonks gas will always localize and converge to a finite energy steady-state. This steady-state has been described as being effectively thermal with an effective temperature that depends on the parameters of the kick. Here we study a generalization to a quasi-periodic driving with three frequencies which, without interactions, has a metal-insulator Anderson transition. We show that a quasi-periodically kicked Tonks gas goes through a dynamical many-body delocalization transition when the kick strength is increased. The localized phase is still described by a low effective temperature, while the delocalized phase corresponds to an infinite-temperature phase, with the temperature increasing linearly in time. At the critical point, the momentum distribution of the Tonks gas displays different scaling at small and large momenta (contrary to the non-interacting case), signaling a breakdown of the one-parameter scaling theory of localization.

► BibTeX data

@article{Vuatelet2023dynamicalmanybody, doi = {10.22331/q-2023-02-09-917}, url = {https://doi.org/10.22331/q-2023-02-09-917}, title = {Dynamical many-body delocalization transition of a {T}onks gas in a quasi-periodic driving potential}, author = {Vuatelet, Vincent and Ran{c{c}}on, Adam}, journal = {{Quantum}}, issn = {2521-327X}, publisher = {{Verein zur F{“{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}}, volume = {7}, pages = {917}, month = feb, year = {2023}<br /> }

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This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions.

Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential

Rodion Krotov

Abstract

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