论文标题
1D玻色气体中结合状态的绝热形成
Adiabatic formation of bound states in the 1d Bose gas
论文作者
论文摘要
在时间依赖和空间不均匀的接触相互作用的存在下,我们考虑1D相互作用的玻色气体。在其有吸引力的阶段,气体允许任意数量的粒子的结合状态,如果系统从排斥力到有吸引力的制度,则最终将其构成。在广义流体动力学的框架内,我们通过分析确定在交互作用的绝热变化极限中的结合状态的形成。我们的结果对任意初始热状态和更普遍的广义吉布斯集合有效。
We consider the 1d interacting Bose gas in the presence of time-dependent and spatially inhomogeneous contact interactions. Within its attractive phase, the gas allows for bound states of an arbitrary number of particles, which are eventually populated if the system is dynamically driven from the repulsive to the attractive regime. Building on the framework of Generalized Hydrodynamics, we analytically determine the formation of bound states in the limit of adiabatic changes in the interactions. Our results are valid for arbitrary initial thermal states and, more generally, Generalized Gibbs Ensembles.