论文标题
在带调节的隧道的玻色纸条二聚体中的热量
Thermalisation in a Bose-Hubbard dimer with modulated tunneling
论文作者
论文摘要
定期调制的Bose-Hubbard Dimer模型提供了一个实验可实现且高度可调的平台，可观察量子信息的扰动以及隔离的，相互作用的量子多体系统的明显热量。在这项工作中，我们将忠诚度以外阶相关器建立在浮雕系统中的热量之间建立连接，由非零量子Lyapunov指数量化的FOTOC的指数增长以及从二聚体中的常规过渡到差异动力学的基本经典过渡。此外，我们证明，也可以通过量化量化系统的浮球模式的定位量（例如香农熵）的量度来推断非零量子lyapunov指数，如果系统将系统热授予周期Gibbs Ensembles预测，则该模式将接近统一。
The periodically modulated Bose-Hubbard dimer model offers an experimentally realizable and highly tunable platform for observing the scrambling of quantum information and the apparent thermalisation of isolated, interacting quantum many-body systems. In this work we apply fidelity out-of-time-order correlators to establish connections between thermalisation in Floquet system, the exponential growth of FOTOCs as quantified by a non-zero quantum Lyapunov exponent, and the underlying classical transition from regular to chaotic dynamics in the dimer. Moreover, we demonstrate that a non-zero quantum Lyapunov exponent can also be inferred from measures quantifying the delocalisation of the Floquet modes of the system such as the Shannon entropy, which approaches unity if the system thermalises to the periodic Gibbs ensemble prediction.
