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arXiv 2007.10680quant-ph
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驱动耗散系统中的极限环相和Goldstone模

Limit Cycle Phase and Goldstone Mode in Driven Dissipative Systems

H. Alaeian, G. Giedke, I. Carusotto, R. Löw, T. Pfau

摘要:

本文从理论上研究了具有Hubbard相互作用的三模腔的一阶和二阶量子耗散相变。在这两种类型中,都存在一个平均场极限环相,在这个平均场极限环相中,Liouvillian超算子的局部U(1)对称性和时间平移对称性(TTS)自发破缺(SSB)。这种单边带通过在腔输出处出现无条件和完全压缩的状态来表现自己,与众所周知的戈德斯通模式相连接。因此,通过采用维格纳函数形式主义,适当地包括量子噪声,我们表明,远离热力学极限和量子制度内,波动显着限制的相干时间的戈德斯通模式由于相位扩散。我们的理论预测表明,相互作用的多模光子系统是丰富的,多功能的测试平台,用于调查平均场图像和量子相变之间的交叉。一个可以在各种平台上研究的问题,包括超导电路,半导体微腔,原子里德伯极化激元和赤铜矿激子。

英文摘要:

In this article, we theoretically investigate the first- and second-order quantum dissipative phase transitions of a three-mode cavity with a Hubbard interaction. In both types, there is a mean-field limit cycle phase where the local U(1)symmetry and the time-translational symmetry (TTS) of the Liouvillian super-operator are spontaneously broken (SSB). This SSB manifests itself through the appearance of an unconditionally and fully squeezed state at the cavity output, connected to the well-known Goldstone mode. By employing the Wigner function formalism hence, properly including the quantum noise, we show that away from the thermodynamic limit and within the quantum regime, fluctuations notably limit the coherence time of the Goldstone mode due to the phase diffusion. Our theoretical predictions suggest that interacting multimode photonic systems are rich, versatile testbeds for investigating the crossovers between the mean-field picture and quantum phase transitions. A problem that can be investigated in various platforms including superconducting circuits, semiconductor microcavities, atomic Rydberg polaritons, and cuprite excitons.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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