Communications in Theoretical Physics ›› 2020, Vol. 72 ›› Issue (11): 115101. doi: 10.1088/1572-9494/abb7db

• Quantum Physics and Quantum Information • Previous Articles     Next Articles

Numerical studies on the boundary entanglement in an optomechanical phonon laser system

Qing-Xia Meng1,2,3,Zhi-Jiao Deng1,3,(),Shi-Wei Cui1,3   

  1. 1 Department of Physics, College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, China
    2 Northwest Institute of Nuclear Technology, Xi’an 710024, Shaanxi, China
    3 Interdisciplinary Center for Quantum Information, National University of Defense Technology, Changsha 410073, China
  • Received: 2020-08-03 Revised: 2020-08-31 Accepted: 2020-09-11 Published: 2020-11-01
  • Contact: Zhi-Jiao Deng E-mail:dengzhijiao926@163.com

Abstract:

In our previous work (Meng et al 2020 Phys. Rev. A 101 023838), we discover the phenomenon that the quantum entanglement on the driving threshold line remains a constant in a three-mode optomechanical phonon laser system. In this paper, to find the conditions under which the constant boundary entanglement shows up, we explicitly study how this boundary entanglement depends on various parameters through numerical integrations. The results show that the necessary and sufficient condition is a resonant frequency match between the optical frequency difference and the mechanical vibrational frequency, and this constant value is proportional to the multiplication of the square of the optomechanical coupling strength and the resonant driving threshold power.

Key words: boundary entanglement, optomechanics, phonon laser