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arXiv 2207.06186cond-mat.quant-gascond-mat.dis-nnquant-ph
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极性晶格气体中非遍历性的晶格调控

Lattice control of non-ergodicity in a polar lattice gas

H. Korbmacher, P. Sierant, W. Li, X. Deng, J. Zakrzewski, L. Santos

AI总结:

本文研究一维极性晶格气体中格点间相互作用对遍历性的影响,发现其偏离通常的$1/r^3$形式,并可通过横向约束调控有效幂律指数,从而控制希尔伯特空间碎裂和粒子动力学。

摘要:

极性晶格气体中的格点间相互作用,由于希尔伯特空间碎裂,即使在无序缺失的情况下也可能导致遍历性缺失。我们证明,位于光学晶格中的一维偶极气体,其格点间相互作用偏离通常考虑的$1/r^3$依赖关系,并获得一种依赖于横向约束和晶格深度的普适形式。由于最近邻和次近邻所起的关键作用,希尔伯特空间碎裂和粒子动力学与幂律模型$1/r^{β_{\mathrm{eff}}<3}$非常相似,其中$β_{\mathrm{eff}}$可通过适当设计横向约束在实验上进行调控。我们的结果对光学晶格中偶极气体的实验具有直接的实验相关性,并表明如果准一维晶格模型在强三维晶格中实现,或通过强横向谐振约束实现,粒子动力学可能显著不同。

英文摘要:

Inter-site interactions in polar lattice gases may result, due to Hilbert-space fragmentation, in a lack of ergodicity even in absence of disorder. We show that the inter-site interaction in a one-dimensional dipolar gas in an optical lattice departs from the usually considered $1/r^3$ dependence, acquiring a universal form that depends on the transversal confinement and the lattice depth. Due to the crucial role played by the nearest- and next-to-nearest neighbors, the Hilbert-space fragmentation and particle dynamics are very similar to that of a power-law model $1/r^{β_{\mathrm{eff}}<3}$, where $β_{\mathrm{eff}}$ is experimentally controllable by properly tailoring the transversal confinement. Our results are of direct experimental relevance for experiments on dipolar gases in optical lattices, and show that the particle dynamics may be remarkably different if the quasi-1D lattice model is realized in a strong 3D lattice, or by means of a strong transversal harmonic confinement.

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。

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