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arXiv 1603.03053cond-mat.mes-hallcond-mat.quant-gas
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周期驱动多体系统中的普适手征准定态

Universal chiral quasi-steady states in periodically driven many-body systems

Netanel H. Lindner, Erez Berg, Mark S. Rudner

摘要:

我们研究了一维相互作用周期驱动系统中的多体动力学,基于部分填充版本的拓扑量子化绝热泵。相应的单粒子Floquet带是手性的,Floquet谱实现了准能布里渊区周围的非平凡循环。对于一般的填充,无论是玻色子或费米子,系统是无隙的,预计将迅速吸收来自驱动场的能量。我们确定的参数制度,相反的手征Floquet频带之间的散射指数抑制,打开一个很长的时间窗口,在该系统prethermalizes到一个无限的温度状态限制到一个单一的Floquet频带。在这种准稳态下,时间平均电流取一个普适值,这个普适值仅由粒子密度和填充Floquet带的拓扑缠绕数决定。在最近发展起来的冷原子系统中,可以很容易地对这种显著的行为进行实验研究。

英文摘要:

We investigate many-body dynamics in a one-dimensional interacting periodically driven system, based on a partially filled version of Thouless's topologically quantized adiabatic pump. The corresponding single-particle Floquet bands are chiral, with the Floquet spectrum realizing nontrivial cycles around the quasienergy Brillouin zone. For generic filling, with either bosons or fermions, the system is gapless and is expected to rapidly absorb energy from the driving field. We identify parameter regimes where scattering between Floquet bands of opposite chirality is exponentially suppressed, opening a long time window in which the system prethermalizes to an infinite-temperature state restricted to a single Floquet band. In this quasi-steady state, the time-averaged current takes a universal value determined solely by the density of particles and the topological winding number of the populated Floquet band. This remarkable behavior may be readily studied experimentally in recently developed cold atom systems.

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