Abstract

We study Bose–Einstein condensation (BEC) in one-dimensional tight-binding systems with two kinds of short-range correlated disordered on-site energy sequences (OSESs). One is the chaotic sequence generated by the modified Bernoulli map, the other is the random-dimer sequence. For these two kinds of short-range correlated systems, we consider binary and non-binary versions of sequences. It is found that BEC can occur in these systems at finite temperature and their transition temperatures (\(T_{C}s\)) increase with the potential strength w. Moreover, the \(T_{C}s\) of the systems with non-binary OSESs are greater than those of the binary ones. And the \(T_{C}\) increases with the correlation parameter B (\(0<B\le 1\)) for the chaotic system. Compared with the uncorrelated disordered system, the introduction of correlation decreases the \(T_{C}\) for the chaotic binary system, while for the non-binary system that increases the \(T_{C}\) in the \(0.6<B\le 1\) region and decreases it in the remaining short-range correlated regions. The results for the random-dimer system are similar to those for the chaotic system in the \(0.6<B\le 1\) region.

Graphical abstract

中文翻译：

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具有短程相关无序现场势的一维系统中的玻色-爱因斯坦凝聚

摘要

我们研究了具有两种短程相关无序现场能量序列（OSES）的一维紧束缚系统中的玻色-爱因斯坦凝聚（BEC）。一种是修改后的伯努利图生成的混沌序列，另一种是随机二聚体序列。对于这两种短程相关系统，我们考虑二进制和非二进制版本的序列。发现BEC可以在有限温度下发生在这些系统中，并且它们的转变温度（\（T_{C}s\））随着势强w的增加而增加。此外，具有非二进制 OSES 的系统的\(T_{C}s\)大于二进制系统的 \(T_{C}s\)。并且\(T_{C}\)随着相关参数 B ( \(0<B\le 1\)) 对于混沌系统。与不相关的无序系统相比，相关性的引入降低了混沌二元系统的\(T_{C}\)，而非二元系统增加了\(0.6 )中的\(T_{C}\) 。 <B\le 1\)区域并在剩余的短程相关区域中减少它。随机二聚体系统的结果与\(0.6<B\le 1\)区域中的混沌系统的结果相似。

图形概要