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.

中文翻译：

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准周期驱动势中 Tonks 气体的动态多体离域跃迁

量子踢转子以显示动态（安德森）定位而闻名。最近的研究表明，周期性喷射的 Tonks 气体将始终定位并收敛到有限能量稳态。这种稳态被描述为有效地热，有效温度取决于踢的参数。在这里，我们研究了对具有三个频率的准周期驱动的推广，该驱动在没有相互作用的情况下具有金属 - 绝缘体安德森跃迁。我们表明，当踢强度增加时，准周期性踢的 Tonks 气体会经历动态的多体离域跃迁。局部相仍由低有效温度描述，而离域相对应于无限温度相，温度随时间线性增加。