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有限温度下具有腔介导长程相互作用的扩展玻色-哈伯德模型

Extended Bose-Hubbard Model with Cavity-Mediated Infinite-Range Interactions at Finite Temperatures.

作者信息

Chen Huang-Jie, Yu Yan-Qiang, Zheng Dong-Chen, Liao Renyuan

机构信息

Fujian Provincial Key Laboratory for Quantum Manipulation and New Energy Materials, College of Physics and Energy, Fujian Normal University, Fuzhou, 350117, China.

Fujian Provincial Collaborative Innovation Center for Advanced High-Field Superconducting Materials and Engineering, Fuzhou, 350117, China.

出版信息

Sci Rep. 2020 Jun 3;10(1):9076. doi: 10.1038/s41598-020-66054-1.

DOI:10.1038/s41598-020-66054-1
PMID:32494030
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7270117/
Abstract

We consider the finite-temperature properties of the extended Bose-Hubbard model realized recently in an ETH experiment [Nature 532, 476 (2016)]. Competing short- and global-range interactions accommodate fascinating collective phenomena. We formulate a self-consistent mean-field theory to describe the behaviors of the system at finite temperatures. At a fixed chemical potential, we map out the distributions of the superfluid order parameters and number densities with respect to the temperatures. For a charge density wave, we find that the global-range interaction enhances the charge order by increasing the transition temperature at which the charge order melts out, while for a supersolid phase, we find that the disappearance of the charge order and the superfluid order occurs at different temperature. At a fixed number-density filling factor, we extract the temperature dependence of the thermodynamic functions such as internal energy, specific heat and entropy. Across the superfluid phase transition, the specific heat has a discontinuous jump.

摘要

我们研究了近期在一个ETH实验[《自然》532, 476 (2016)]中实现的扩展玻色-哈伯德模型的有限温度性质。相互竞争的短程和长程相互作用呈现出迷人的集体现象。我们构建了一种自洽平均场理论来描述该系统在有限温度下的行为。在固定化学势下,我们绘制了超流序参量和数密度相对于温度的分布。对于电荷密度波,我们发现长程相互作用通过提高电荷序熔化的转变温度来增强电荷序,而对于超固相,我们发现电荷序和超流序的消失发生在不同温度。在固定数密度填充因子下,我们提取了诸如内能、比热和熵等热力学函数的温度依赖性。在超流相变过程中,比热有一个不连续的跃变。

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本文引用的文献

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