Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential Article Swipe
Vincent Vuatelet
,
Adam Rançon
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2209.12510
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2209.12510
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.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2209.12510
- https://arxiv.org/pdf/2209.12510
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4297434333
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- OpenAlex ID
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https://openalex.org/W4297434333Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2209.12510Digital Object Identifier
- Title
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Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potentialWork title
- Type
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preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2022Year of publication
- Publication date
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2022-09-26Full publication date if available
- Authors
-
Vincent Vuatelet, Adam RançonList of authors in order
- Landing page
-
https://arxiv.org/abs/2209.12510Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2209.12510Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2209.12510Direct OA link when available
- Concepts
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Delocalized electron, Scaling, Physics, Phase transition, Quantum, Transition point, Statistical physics, Condensed matter physics, Quantum mechanics, Classical mechanics, Mechanics, Mathematics, GeometryTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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