玻色子对Mott绝缘团簇中缺陷的动力学和蒸发
Dynamics and evaporation of defects in Mott-insulating clusters of boson pairs
摘要：
由玻色-哈伯德模型控制的晶格中排斥结合的粒子对可以形成稳定的不可压缩的二聚体簇，其对应于有限尺寸n=2的莫特绝缘体。在这里，我们研究的动态空穴缺陷在这样的集群对应的不成对的粒子，可以共振隧道的集群到晶格真空。由于玻色子统计，未成对粒子在团簇内外具有不同的有效质量，并且空穴缺陷从团簇边界的“蒸发”只有当它们的准动量在一定的透射范围内时才是可能的。我们发现，准热化的空穴缺陷发生在催化粒子缺陷的存在下，从而净化莫特绝缘集群。我们研究了一维系统的动力学分析技术和数值精确的t-DMRG模拟。我们推导出一个有效的强相互作用模型，使系统动力学模拟更长的时间。我们还讨论了一个更一般的情况下，两个玻色子物种减少到费米哈伯德模型在强相互作用限制。
英文摘要：
Repulsively bound pairs of particles in a lattice governed by the Bose-Hubbard model can form stable incompressible clusters of dimers corresponding to finite-size n=2 Mott insulators. Here we study the dynamics of hole defects in such clusters corresponding to unpaired particles which can resonantly tunnel out of the cluster into the lattice vacuum. Due to bosonic statistics, the unpaired particles have different effective mass inside and outside the cluster, and "evaporation" of hole defects from the cluster boundaries is possible only when their quasi-momenta are within a certain transmission range. We show that quasi-thermalization of hole defects occurs in the presence of catalyzing particle defects which thereby purify the Mott insulating clusters. We study the dynamics of one-dimensional system using analytical techniques and numerically exact t-DMRG simulations. We derive an effective strong-interaction model that enables simulations of the system dynamics for much longer times. We also discuss a more general case of two bosonic species which reduces to the fermionic Hubbard model in the strong interaction limit.
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