物理
量子相变
凝聚态物理
联轴节(管道)
量子力学
西格玛
超晶格
标准差
耦合强度
相变
量子
自旋(空气动力学)
量子涨落
量子统计力学
热力学
统计
材料科学
数学
冶金
作者
Pragna Das,Sebastian Wüster,Auditya Sharma
标识
DOI:10.48550/arxiv.2308.12996
摘要
We introduce and study the disordered Dicke model in which the spin-boson couplings are drawn from a random distribution with some finite width. Regarding the quantum phase transition we show that when the standard deviation $\sigma$ of the coupling strength gradually increases, the critical value of the mean coupling strength $\mu$ gradually decreases and after a certain $\sigma$ there is no quantum phase transition at all; the system always lies in the super-radiant phase. We derive an approximate expression for the quantum phase transition in the presence of disorder in terms of $\mu$ and $\sigma$, which we numerically verify. Studying the thermal phase transition in the disordered Dicke model, we obtain an analytical expression for the critical temperature in terms of the mean and standard deviation of the coupling strength. We observe that even when the mean of the coupling strength is zero, there is a finite temperature transition if the standard deviation of the coupling is sufficiently high. Disordered couplings in the Dicke model will exist in quantum dot superlattices, and we also sketch how they can be engineered and controlled with ultracold atoms or molecules in a cavity.
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