Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential
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 effect...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2023-02-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2023-02-09-917/pdf/ |
| _version_ | 1811168104472903680 |
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| author | Vincent Vuatelet Adam Rançon |
| author_facet | Vincent Vuatelet Adam Rançon |
| author_sort | Vincent Vuatelet |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-10T16:20:26Z |
| format | Article |
| id | doaj.art-953e13e560414792897923c0a405a39d |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-04-10T16:20:26Z |
| publishDate | 2023-02-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-953e13e560414792897923c0a405a39d2023-02-09T14:01:03ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2023-02-01791710.22331/q-2023-02-09-91710.22331/q-2023-02-09-917Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potentialVincent VuateletAdam RançonThe 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.https://quantum-journal.org/papers/q-2023-02-09-917/pdf/ |
| spellingShingle | Vincent Vuatelet Adam Rançon Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential Quantum |
| title | Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential |
| title_full | Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential |
| title_fullStr | Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential |
| title_full_unstemmed | Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential |
| title_short | Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential |
| title_sort | dynamical many body delocalization transition of a tonks gas in a quasi periodic driving potential |
| url | https://quantum-journal.org/papers/q-2023-02-09-917/pdf/ |
| work_keys_str_mv | AT vincentvuatelet dynamicalmanybodydelocalizationtransitionofatonksgasinaquasiperiodicdrivingpotential AT adamrancon dynamicalmanybodydelocalizationtransitionofatonksgasinaquasiperiodicdrivingpotential |