Resilience of the superradiant phase against A2 effects in the quantum Rabi dimer

Yimin Wang, Maoxin Liu, Wen-Long You, Stefano Chesi, Hong-Gang Luo, and Hai-Qing Lin
Phys. Rev. A 101, 063843 – Published 29 June 2020

Abstract

We explore the quantum criticality of a two-site model combining quantum Rabi models with hopping interaction. Through a combination of analytical and numerical approaches, we find that the model allows the appearance of a superradiant quantum phase transition (QPT) even in the presence of strong A2 terms, preventing single-site superradiance. In the two-site model the effect of A2 terms can be surmounted by the photon delocalization from hopping, and a reversed superradiant QPT occurs as a consequence of the competition between A2 terms and the hopping interaction. We characterize the phase diagram and scaling functions and extract the critical exponents in the vicinity of the critical point, thus establishing the universal behavior of the second-order phase transition. Remarkably the effective hopping strength will be enhanced if more cavities are cascaded. We also prove that the multiqubit counterpart of the quantum Rabi dimer, i.e., the Dicke dimer, has the same properties in beating the A2 effect. Our work provides a path to the study of phase transitions in the presence of the A2 terms and offers the prospect of investigating quantum-criticality physics and quantum devices in many-body systems.

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  • Received 16 February 2020
  • Revised 26 February 2020
  • Accepted 8 June 2020

DOI:https://doi.org/10.1103/PhysRevA.101.063843

©2020 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Yimin Wang1, Maoxin Liu2,3,4,*, Wen-Long You5,6,†, Stefano Chesi4, Hong-Gang Luo4,7, and Hai-Qing Lin4,8

  • 1Communications Engineering College, Army Engineering University, Nanjing 210007, China
  • 2State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, People's Republic of China
  • 3School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, People's Republic of China
  • 4Beijing Computational Science Research Center, Beijing 100193, China
  • 5College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, China
  • 6School of Physical Science and Technology, Soochow University, Suzhou, Jiangsu 215006, China
  • 7School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China
  • 8Department of Physics, Beijing Normal University, Beijing 100875, China

  • *liumaoxin@bupt.edu.cn
  • wlyou@nuaa.edu.cn

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Issue

Vol. 101, Iss. 6 — June 2020

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