Spectral Properties of the Bose-Hubbard Model Within the Cluster Perturbation Theory in X-Operators Representation

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• 作者：Kirill Kudashkin ; Sergey Nikolaev…
• 关键词：Bose ; Hubbard model ; Ultracold gases ; Cluster perturbation theory ; Density of states ; Spectral properties
• 刊名：Journal of Superconductivity and Novel Magnetism
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：30
• 期：1
• 页码：103-107
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Strongly Correlated Systems, Superconductivity; Magnetism, Magnetic Materials; Condensed Matter Physics; Characterization and Evaluation of Materials;
• 出版者：Springer US
• ISSN：1557-1947
• 卷排序：30

文摘

We study the two-dimensional ultracold Bose gas in optical lattice. We use cluster perturbation theory based on Hubbard X-operators to calculate the spectral function and phase diagram of Bose-Hubbard model which is minimal model to describe behavior of ultracold gases in optical lattices. We have analyzed spectral properties of spinless bosons in a square lattice taking into account the short-range correlation.