Generating EPR-type entanglement of degenerate optomechanical parametric oscillators

Einstein-Podolski-Rosen (EPR) entanglement states are achievable by combining two single-mode position and momentum squeezed states at a 50:50 beam splitter (BS). To generate the EPR mechanical entanglement, we consider the system consisted of two parametric optomechanical resonators, where two mech...

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Bibliographic Details
Published in:Journal of modern optics 2017-11, Vol.64 (20), p.2103-2109
Main Authors: Yi, Cheng-qian, Yi, Zhen, Gu, Wen-ju, Xu, Da-hai
Format: Article
Language:English
Subjects:
Cooling
Coupling
High temperature
Mechanical EPR entanglement
Mechanical oscillators
mechanical squeezing
Optics
Oscillators
Parametric amplifiers
parametric optomechanical resonators
Quantum entanglement
Resonators
Squeezed states (quantum theory)
Thermal noise
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Summary:Einstein-Podolski-Rosen (EPR) entanglement states are achievable by combining two single-mode position and momentum squeezed states at a 50:50 beam splitter (BS). To generate the EPR mechanical entanglement, we consider the system consisted of two parametric optomechanical resonators, where two mechanical oscillators are linearly coupled. The linear coupling forms the symmetric and antisymmetric combinations of two mechanical modes, parallel to a 50:50 BS mixing. In the weak optomechanical coupling regime and via applying the opposite phases of parametric interactions, the symmetric and antisymmetric mechanical modes can be position and momentum squeezed, respectively. Therefore, two original mechanical modes are EPR entangled. Moreover, the mechanical thermal noise can decrease the entanglement. But with the parametric interaction enhanced optomechanical cooling, the influence of thermal noise on entanglement can be significantly suppressed, and the mechanical entanglement can be generated under a relatively high temperature. We also discuss the critical thermal occupation where the entanglement disappears, which is proportional to the optomechanical cooperativity parameter.
ISSN:0950-0340
1362-3044
DOI:10.1080/09500340.2017.1337942