Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-04-01

Journal: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

Included Journals: SCIE

Volume: 55

Issue: 4

Page Number: 2097-2109

ISSN: 0020-7748

Key Words: Quantum correlation criterion; Quantum chaos; Optomechanical system

Abstract: Although many quantum correlation criteria have been proposed successively in recent years, it is still an open question how to observe these criteria with the non-Hermitian terms in themselves. We propose an indirect scheme in this paper to observe non-Hermitian criteria and to judge whether or not quantum correlation exists in the system even though the expectation value measurement of non-Hermitian operator is invalid in quantum mechanics system. Our idea is to establish a critical state of mesoscopic oscillator under mean-field approximation, and the oscillator state will take place transition when the quantum correlation destroys the mean-field approximation. The non-Hermitian measurement will replace the position measurement in this process and it can be seen as a non-destructive detection. We give an example to explain this idea in a designed mesoscopic optomechanical system.