论文标题
Bose-Hubbard模型的统计浮球细胞化
Statistical Floquet prethermalization of the Bose-Hubbard model
论文作者
论文摘要
多体系统的操纵通常涉及导致不必要加热的时间依赖性力。抑制加热的一种策略是在很大的驾驶频率下使用时间周期性（Floquet）力。对于具有有界光谱的量子自旋系统，严格地表明，加热速率在驱动频率上呈指数较小。最近，在超电原子的实验中也观察到了对加热的指数抑制，从而实现了定期驱动的玻色 - 哈伯德模型。该模型具有无界的频谱，因此超出了以前的理论方法的范围。在这里，我们通过两种半经典方法分别有效地研究了这种模型，该模型在大和弱的相互作用强度下。在这两个限制上，我们通过研究遇到多体共振的统计概率来计算加热率，并与量子模型的确切对角线化获得定量一致性。我们的方法证明了统计论证与相互作用多体量子系统的浮动性无效的相关性。
The manipulation of many-body systems often involves time-dependent forces that cause unwanted heating. One strategy to suppress heating is to use time-periodic (Floquet) forces at large driving frequencies. For quantum spin systems with bounded spectra, it was shown rigorously that the heating rate is exponentially small in the driving frequency. Recently, the exponential suppression of heating has also been observed in an experiment with ultracold atoms, realizing a periodically driven Bose-Hubbard model. This model has an unbounded spectrum and, hence, is beyond the reach of previous theoretical approaches. Here, we study this model with two semiclassical approaches valid, respectively, at large and weak interaction strengths. In both limits, we compute the heating rates by studying the statistical probability to encounter a many-body resonance, and obtain a quantitative agreement with the exact diagonalization of the quantum model. Our approach demonstrates the relevance of statistical arguments to Floquet perthermalization of interacting many-body quantum systems.
