论文标题
理论方法治疗单个耗散骨气模式，该模式与许多人体系统相互作用耦合
Theoretical methods to treat a single dissipative bosonic mode coupled globally to an interacting many body system
论文作者
论文摘要
我们提出了两种能够描述在全球耦合到耗散性骨气模式的晶格上相互作用的许多身体系统的动力学的方法。例如，物理实现是在光学晶格中的超速原子气体与光腔的光子模式或固体中的电子气体耦合到THZ空腔田的光子模式。第一种方法适用于大耗散强度和任何系统大小，是多体绝热消除方法的变体，用于研究系统的长时间动力学。第二种方法扩展了时间相关的矩阵乘积技术，以捕获相互作用粒子与骨传感模式及其开放性质的全局耦合。它为中间系统大小提供了数值确切的结果。作为我们方法的基准，我们执行与空腔模式相连的玻色扣链的完整量子演变。我们表明，当考虑完整的原子空腔耦合时，与平均场行为的重要偏差发生[1]。
We present two approaches capable of describing the dynamics of an interacting many body system on a lattice coupled globally to a dissipative bosonic mode. Physical realizations are for example ultracold atom gases in optical lattice coupled to a photonic mode of an optical cavity or electronic gases in solids coupled to THz cavity fields. The first approach, applicable for large dissipation strengths and any system size, is a variant of the many-body adiabatic elimination method for investigating the long time dynamics of the system. The second method extends the time-dependent matrix product techniques to capture the global coupling of the interacting particles to the bosonic mode and its open nature. It gives numerically exact results for small to intermediate system sizes. As a benchmark for our methods we perform the full quantum evolution of a Bose-Hubbard chain coupled to a cavity mode. We show that important deviations from the mean-field behavior occur when considering the full atoms cavity coupling [1].
