Out-of-equilibrium dynamics of multiple second-order quantum phase transitions in an extended Bose-Hubbard model: Superfluid, supersolid, and density wave
Out-of-equilibrium dynamics of multiple second-order quantum phase transitions in an extended Bose-Hubbard model: Superfluid, supersolid, and density wave
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DOI：
10.1103/physreva.98.063603
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发表时间：
2018-05
影响因子：
2.9
通讯作者：
K. Shimizu;Takahiro Hirano;Jonghoon Park;Y. Kuno;I. Ichinose
中科院分区：
文献类型：
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作者：
K. Shimizu;Takahiro Hirano;Jonghoon Park;Y. Kuno;I. Ichinose
本文利用含时Gutzwiller方法研究了具有最近邻排斥的Bose-Hubbard模型的动力学性质。在单元填充附近，该模型的相图包含密度波（DW）、超固态（SS）和超流态（SF）。这三个相被两个二阶相变分开。我们研究“慢淬火”动力学通过改变跳跃参数的哈密顿量作为时间的函数。在从DW到SS和从DW到SF的相变中，我们重点研究了SF序的形成，并研究了SF关联长度、涡旋密度等的标度律，并将结果与Kibble-Zurek标度进行了比较。另一方面，从SF到DW，我们研究了DW顺序如何随着畴壁和涡旋的产生而演变。一阶SF相干性的测量揭示了DW制度中有趣的行为。
In this paper, we study the dynamics of the Bose-Hubbard model with the nearest-neighbor repulsion by using time-dependent Gutzwiller methods. Near the unit filling, the phase diagram of the model contains density wave (DW), supersolid (SS) and superfluid (SF). The three phases are separated by two second-order phase transitions. We study "slow-quench" dynamics by varying the hopping parameter in the Hamiltonian as a function of time. In the phase transitions from the DW to SS and from the DW to SF, we focus on how the SF order forms and study scaling laws of the SF correlation length, vortex density, etc. The results are compared with the Kibble-Zurek scaling. On the other hand from the SF to DW, we study how the DW order evolves with generation of the domain walls and vortices. Measurement of first-order SF coherence reveals interesting behavior in the DW regime.