Interaction-driven breakdown of dynamical localization in a kicked quantum gas

Cao, Alec; Sajjad, Roshan; Mas, Hector; Simmons, Ethan; Tanlimco, Jeremy L.; Nolasco-Martinez, Eber; Shimasaki, Toshihiko; Kondakci, H. Esat; Weld, David; Galitski, Victor

doi:10.1038/s41567-022-01724-7

Cited by 19 publications

(10 citation statements)

References 40 publications

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“…Two recent experiments have studied the fate of dynamical localization for interacting cold gases of bosons [34,35], observing a destruction of dynamical localization, in apparent contradiction with [24,26], and more in line with the mean-field results. The latter might not be too surprising concerning [34] since it was performed with a three-dimensional gas at weak interactions, for which a mean-field descrip-tion should be relevant. On the other hand, [35] used a Bose gas confined in a transverse two-dimensional optical lattice, in the quasi-one-dimensional regime where MBDL would be expected.…”

Section: Introductionmentioning

confidence: 65%

“…In the present manuscript, we focus instead on the interacting QPQKR, which can be experimentally studied as in [34,35] by a simple modification of the kicking sequence. In this case, mean-field analyses have found that the localized-diffusion transition is replaced by a subdiffusion-diffusion transition characterized by new critical properties and a two-parameter scaling law [31,36,37].…”

Section: Introductionmentioning

confidence: 99%

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

Vuatelet

Rançon

2023

Quantum

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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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Section: Introductionmentioning

confidence: 65%

Section: Introductionmentioning

confidence: 99%

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

Vuatelet

Rançon

2023

Quantum

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“…In the absence of interactions, the QKR shows dynamical localization [70], a phenomenon analogous to Anderson localization [83] but in momentum space [84] which has been observed in a number of cold atom experiments [86][87][88][89][90]. GP interactions are known to challenge dynamical localization: transport is no longer frozen and anomalous diffusion rules the spreading of wavepackets [76][77][78]80,91,92]. This is analogous to disordered nonlinear Schrödinger chains, see, e.g., [93][94][95][96][97][98].…”

mentioning

confidence: 87%

Rayleigh-Jeans prethermalization and wave condensation in a nonlinear disordered Floquet system

Haldar,

Mu,

Georgeot

et al. 2023

EPL

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Periodically-driven quantum systems make it possible to reach stationary states with new emerging properties. However, this process is notoriously difficult in the presence of interactions because continuous energy exchanges generally boil the system to an infinite temperature featureless state. Here, we describe how to reach nontrivial states in a periodically-kicked nonlinear disordered system. One ingredient is crucial: both disorder and kick strengths should be weak enough to induce sufficiently narrow and well-separated Floquet bands. In this case, inter-band heating processes are strongly suppressed and the system can reach an exponentially long-lived prethermal plateau described by the Rayleigh-Jeans distribution. Saliently, the system can even undergo a wave condensation process when its initial state has a sufficiently low total quasi-energy.

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“…[22][23][24][25][26][27][28] Previous investigations have shown that the nonlinear interaction of BEC atoms, a mean-field approximation of many-body interaction, induces sub-diffusion in the QPQKR model governed by the Gross-Pitaevskii (GP) equation. [29][30][31][32][33][34][35] It is widely recognized that an open system interacting with its environment can be described by a non-Hermitian Hamiltonian. [36][37][38][39][40] The non-Hermitian extension to Floquetdriven systems has stimulated numerous studies on quantum diffusion behaviors.…”

Section: Introductionmentioning

confidence: 99%

Super-ballistic diffusion in a quasi-periodic non-Hermitian driven system with nonlinear interaction

Zhao

2023

Chinese Phys. B

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We investigate the effects of nonlinear interactions on quantum diffusion in a quasi-periodic quantum kicked rotor system, featuring a non-Hermitian kicking potential. Remarkably, when the non-Hermitian driving strength is sufficiently strong, the energy diffusion follows a power-laws of time, characterized by an exponent that decreases monotonically as the strength of nonlinear interactions grows. This demonstrates the emergence of super-ballistic diffusion (SBD). We find a distinct prethermalization stage in the time domain preceding the onset of SBD. The unique quantum diffusion phenomena observed in this chaotic system can be attributed to the decoherence effects generated by the interplay between nonlinear interactions and the non-Hermitian kicking potential.

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Interaction-driven breakdown of dynamical localization in a kicked quantum gas

Cited by 19 publications

References 40 publications

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

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

Rayleigh-Jeans prethermalization and wave condensation in a nonlinear disordered Floquet system

Super-ballistic diffusion in a quasi-periodic non-Hermitian driven system with nonlinear interaction

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