arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1905.02470cond-mat.quant-gas
收藏

一维三阱光晶格中偶极玻色子的关联动力学

Correlation dynamics of dipolar bosons in 1D triple well optical lattice

Sangita Bera, Luca Salasnich, Barnali Chakrabarti

摘要:

自发对称性破缺和非对角长程序(ODLRO)的概念与玻色-爱因斯坦凝聚有关。然而,由于在降维系统中量子涨落的影响占主导地位,ODLRO的概念变得更加有趣,特别是对于长程相互作用。本文从第一性原理出发,采用多组态含时Hartree玻色子方法(MCTDHB)研究了一维三阱光晶格中三个偶极玻色子系统中由晶格深度猝灭触发的关联动力学.我们的主要动机是探索如何ODLRO发展和衰减时,系统是由晶格深度的突然变化的平衡。我们比较了偶极玻色子与接触相互作用的结果。对于前向猝灭$(V_{f} > V_{i})$,该系统在归一化的一阶和二阶Glauber关联函数的时间演化、接触以及偶极相互作用的Shannon信息熵的时间演化中表现出猝灭-恢复动力学,这让人想起Greiner实验中观察到的情况[Nature,{415},(2002)]。我们定义的崩溃和复苏的时间比的优值($τ$),它可以唯一区分的偶极相互作用的动力学的时间尺度的接触相互作用。在反向猝灭过程$(V_{i} > V_{f})$中,对于偶极相互作用,动力学是复杂的,系统不表现出任何确定的演化时间尺度,而对于接触相互作用,系统表现出具有确定时间尺度的猝灭-复活动力学。偶极相互作用中的长程排斥尾抑制了关联在晶格中的传播。

英文摘要:

The concept of spontaneous symmetry breaking and off-diagonal long-range order (ODLRO) are associated with Bose-Einstein condensation. However, as in the system of reduced dimension the effect of quantum fluctuation is dominating, the concept of ODLRO becomes more interesting, especially for the long-range interaction. In the present manuscript, we study the correlation dynamics triggered by lattice depth quench in a system of three dipolar bosons in a 1D triple-well optical lattice from the first principle using the multiconfigurational time-dependent Hartree method for bosons (MCTDHB). Our main motivation is to explore how ODLRO develops and decays with time when the system is brought out-of-equilibrium by a sudden change in the lattice depth. We compare results of dipolar bosons with contact interaction. For forward quench $(V_{f} > V_{i})$, the system exhibits the collapse-revival dynamics in the time evolution of normalized first- and second-order Glauber's correlation function, time evolution of Shannon information entropy both for the contact as well as for the dipolar interaction which is reminiscent of the one observed in Greiner's experiment [Nature, {415}, (2002)]. We define the collapse and revival time ratio as the figure of merit ($τ$) which can uniquely distinguish the timescale of dynamics for dipolar interaction from that of contact interaction. In the reverse quench process $(V_{i} > V_{f})$, for dipolar interaction, the dynamics is complex and the system does not exhibit any definite time scale of evolution, whereas the system with contact interaction exhibits collapse-revival dynamics with a definite time-scale. The long-range repulsive tail in the dipolar interaction inhibits the spreading of correlation across the lattice sites.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑