双模Dicke模型的一级量子相变*

摘要

The multi-mode Dicke model, which describes many atoms interacting with the multi-mode photons, has attracted much attention; it not only exhibits rich quantum phases, but also has an important application in quantum informa-tion. In this paper, we explore the ground-state properties of the two-mode Dicke model by the Holstein-Primakoff transformation and Boson expansion method, and theoretically predict a new first-order quantum phase transition. In the experiment, this quantum phase transition could be detected by measuring the mean-photon number or the atom population.%多光场与多粒子相互作用的多模Dicke模型不但存在着更为丰富的量子相，而且在量子信息中有着重要的应用。本文运用Holstein-Primakoff变换和玻色扩展法研究双模Dicke模型的基态特性并从理论上发现了一个新的一级量子相变。该相变在实验上可以通过测量平均光子数或原子布居数进行观察。