Dynamical many-body delocalization transition ...
Document type :
Article dans une revue scientifique: Article original
Title :
Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential
Author(s) :
Vuatelet, Vincent [Auteur]
Atomes Froids [Atomes Froids]
Rançon, Adam [Auteur]
Atomes Froids [Atomes Froids]
Atomes Froids [Atomes Froids]
Rançon, Adam [Auteur]
Atomes Froids [Atomes Froids]
Journal title :
Quantum
Pages :
917
Publication date :
2023
HAL domain(s) :
Physique [physics]/Matière Condensée [cond-mat]
Physique [physics]/Physique Quantique [quant-ph]
Physique [physics]/Physique Quantique [quant-ph]
English abstract : [en]
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. ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Source :
Files
- http://arxiv.org/pdf/2209.12510
- Open access
- Access the document
- 2209.12510
- Open access
- Access the document
- document
- Open access
- Access the document
- document.pdf
- Open access
- Access the document