摘要
Einstein–Podolski–Rosen（EPR） entanglement state is achievable by combining two single-mode position and momentum squeezed states at a 50：50 beam-splitter（BS）. We investigate the generation of the EPR entangled state of two vibrating membranes in a ring resonator, where clockwise（CW） and counter-clockwise（CCW） travelling-wave modes are driven by lasers and finite-bandwidth squeezed lights. Since the optomechanical coupling depends on the location of the membranes, CW and CCW can couple to the symmetric and antisymmetric combination of mechanical modes for a suitable arrangement, which corresponds to a 50：50 BS mixing. Moreover, by employing the red-detuned driving laser and tuning the central frequency of squeezing field blue detuned from the driving laser with a mechanical frequency, the squeezing property of squeezed light can be perfectly transferred to the mechanical motion in the weak coupling regime. Thus, the BS mixing modes can be position and momentum squeezed by feeding the appropriate squeezed lights respectively, and the EPR entangled mechanical state is obtained. Moreover, cavity-induced mechanical cooling can further suppress the influence of thermal noise on the entangled state.
Einstein–Podolski–Rosen（EPR） entanglement state is achievable by combining two single-mode position and momentum squeezed states at a 50：50 beam-splitter（BS）. We investigate the generation of the EPR entangled state of two vibrating membranes in a ring resonator, where clockwise（CW） and counter-clockwise（CCW） travelling-wave modes are driven by lasers and finite-bandwidth squeezed lights. Since the optomechanical coupling depends on the location of the membranes, CW and CCW can couple to the symmetric and antisymmetric combination of mechanical modes for a suitable arrangement, which corresponds to a 50：50 BS mixing. Moreover, by employing the red-detuned driving laser and tuning the central frequency of squeezing field blue detuned from the driving laser with a mechanical frequency, the squeezing property of squeezed light can be perfectly transferred to the mechanical motion in the weak coupling regime. Thus, the BS mixing modes can be position and momentum squeezed by feeding the appropriate squeezed lights respectively, and the EPR entangled mechanical state is obtained. Moreover, cavity-induced mechanical cooling can further suppress the influence of thermal noise on the entangled state.
基金
supported by the National Natural Science Foundation of China(Grant Nos.61505014 and 11504031)
the Yangtze Youth Talents Fund
the Yangtze Funds for Youth Teams of Science and Technology Innovation(Grant No.2015cqt03)
