论文标题
在准周期驱动潜力中,tonks气体的动力多体内定位过渡
Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential
论文作者
论文摘要
量子踢转子以显示动态(安德森)定位而闻名。最近已经显示,定期踢的唐克斯气体将始终定位并融合到有限的能量稳态中。该稳态被描述为有效的热温度,其有效温度取决于踢的参数。在这里,我们研究了具有三个频率的准周期驱动器的概括,没有相互作用,它们具有金属 - 绝缘体安德森过渡。我们表明,当踢球强度提高时,准周期踢的唐克斯气体通过动态的多体内定位过渡。局部相仍由低有效温度描述,而离域相对应于无限温度相,并且温度随时间线性升高。在临界点,Tonks气体的动量分布在小动量和大型动量(与非相反的情况相反)下显示出不同的缩放比例,这表明单参数缩放理论的分解。
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.