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Observation of Non-Hermitian Quantum Correlation Criterion in Mesoscopic Optomechanical System

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Indexed by:期刊论文

Date of Publication:2016-04-01

Journal:INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

Included Journals:SCIE

Volume:55

Issue:4

Page Number:2097-2109

ISSN No.: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.

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