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Chin. Phys. B, 2020, Vol. 29(4): 044201    DOI: 10.1088/1674-1056/ab7b55

Dissipative quantum phase transition in a biased Tavis-Cummings model

Zhen Chen(陈臻)1,2, Yueyin Qiu(邱岳寅)3, Guo-Qiang Zhang(张国强)2, Jian-Qiang You(游建强)2
1 Quantum Physics and Quantum Information Division, Beijing Computational Science Research Center, Beijing 100193, China;
2 Interdisciplinary Center of Quantum Information and Zhejiang Province Key Laboratory of Quantum Technology and Device, Department of Physics and State Key Laboratory of Modern Optical Instrumentation, Zhejiang University, Hangzhou 310027, China;
3 Laboratory of Quantum Information, Institute for Quantum Information and Spintronics, School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
Abstract  We study the dissipative quantum phase transition (QPT) in a biased Tavis-Cummings model consisting of an ensemble of two-level systems (TLSs) interacting with a cavity mode, where the TLSs are pumped by a drive field. In our proposal, we use a dissipative TLS ensemble and an active cavity with effective gain. In the weak drive-field limit, the QPT can occur under the combined actions of the loss and gain of the system. Owing to the active cavity, the QPT behavior can be much differentiated even for a finite strength of the drive field on the TLS ensemble. Also, we propose to implement our scheme based on the dissipative nitrogen-vacancy (NV) centers coupled to an active optical cavity made from the gain-medium-doped silica. Furthermore, we show that the QPT can be measured by probing the transmission spectrum of the cavity embedding the ensemble of the NV centers.
Keywords:  quantum phase transition      dissipative ensemble of two-level systems      active optical cavity      Tavis-Cummings model  
Received:  03 January 2020      Revised:  04 February 2020      Accepted manuscript online: 
PACS:  42.50.Nn (Quantum optical phenomena in absorbing, amplifying, dispersive and conducting media; cooperative phenomena in quantum optical systems)  
  42.50.-p (Quantum optics)  
  42.50.Pq (Cavity quantum electrodynamics; micromasers)  
  03.65.Yz (Decoherence; open systems; quantum statistical methods)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11934010, U1801661, U1930402, and 11847087) and the National Key Research and Development Program of China (Grant No. 2016YFA0301200).
Corresponding Authors:  Guo-Qiang Zhang, Jian-Qiang You     E-mail:;

Cite this article: 

Zhen Chen(陈臻), Yueyin Qiu(邱岳寅), Guo-Qiang Zhang(张国强), Jian-Qiang You(游建强) Dissipative quantum phase transition in a biased Tavis-Cummings model 2020 Chin. Phys. B 29 044201

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