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arXiv 1202.5558cond-mat.quant-gasquant-ph
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相互作用玻色气体中关联的传播波前

Propagation front of correlations in an interacting Bose gas

Peter Barmettler, Dario Poletti, Marc Cheneau, Corinna Kollath

摘要:

我们分析了一维玻色莫特绝缘体的失超动力学,并着重研究了密度关联随时间的演化。对于这些,我们确定了一个明显的传播前,其中的速度,一旦正确地外推在大的距离,可以作为一个定量特征的多体哈密顿。特别是,速度允许弱相互作用的制度,这是定性地很好地描述了自由玻色子,以区分强相互作用的一个,其中对不同的准粒子占主导地位的动态。为了描述后者的情况下解析,我们介绍了一个通用的近似解决的基础上的辅助粒子的乔丹-维格纳费米子化的玻色-哈伯德哈密顿量。这种方法也可以用来确定基态性质。作为对费米子化方法的补充,我们在非相互作用极限下导出了含时多体态,并将我们的结果与玻色-哈伯德模型在整个相互作用范围内的数值模拟结果进行了比较.

英文摘要:

We analyze the quench dynamics of a one-dimensional bosonic Mott insulator and focus on the time evolution of density correlations. For these we identify a pronounced propagation front, the velocity of which, once correctly extrapolated at large distances, can serve as a quantitative characteristic of the many-body Hamiltonian. In particular, the velocity allows the weakly interacting regime, which is qualitatively well described by free bosons, to be distinguished from the strongly interacting one, in which pairs of distinct quasiparticles dominate the dynamics. In order to describe the latter case analytically, we introduce a general approximation to solve the Bose-Hubbard Hamiltonian based on the Jordan-Wigner fermionization of auxiliary particles. This approach can also be used to determine the ground-state properties. As a complement to the fermionization approach, we derive explicitly the time-dependent many-body state in the noninteracting limit and compare our results to numerical simulations in the whole range of interactions of the Bose-Hubbard model.

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