Out-of-Time-Order Correlators and Quantum Phase Transitions in the Rabi and Dicke Models
Out-of-Time-Order Correlators and Quantum Phase Transitions in the Rabi and Dicke Models
复制标题
Rabi 和 Dicke 模型中的乱序相关器和量子相变
DOI：
10.1002/andp.201900270
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发表时间：
2020
影响因子：
2.4
通讯作者：
Fan Heng
中科院分区：
文献类型：
--
作者：
Sun Zheng-Hang;Cai Jia-Qi;Tang Qi-Cheng;Hu Yong;Fan Heng
利用时间外序量子算符（OTOC）研究了原子能级分裂与单模电磁辐射场频率之比较大的Rabi和少体迪凯模型中正常相和超辐射相之间的量子相变.重点是在OTOC热平均无限温度，这是一个实验上可行的量。结果表明，临界点可以通过观察其局部最小值行为，通过OTOC的长时间平均来识别。更重要的是，通过研究有限频率比和有限原子数的实验条件，揭示了QPT的OTOC标度律。从OTOC标度律中提取的临界指数表明，Rabi和迪凯模型中的QPT属于同一普适类.
The out‐of‐time‐order correlators (OTOCs) is used to study the quantum phase transitions (QPTs) between the normal phase and the superradiant phase in the Rabi and few‐body Dicke models with large frequency ratio of the atomic level splitting to the single‐mode electromagnetic radiation field frequency. The focus is on the OTOC thermally averaged with infinite temperature, which is an experimentally feasible quantity. It is shown that the critical points can be identified by long‐time averaging of the OTOC via observing its local minimum behavior. More importantly, the scaling laws of the OTOC for QPTs are revealed by studying the experimentally accessible conditions with finite frequency ratio and finite number of atoms in the studied models. The critical exponents extracted from the scaling laws of OTOC indicate that the QPTs in the Rabi and Dicke models belong to the same universality class.