Modern gravitational-wave detectors and other optomechanical devices should reach such sensitivity, that it would be possible to observe quantum phenomena with macroscopic quantum objects. One of the most interesting experimental projects in this area of fundamental physics is the proof of the Einstein-Podolsky-Rosen paradox in its initial interpretation, that is for coordinate and momentum of macroscopic mechanical objects. We study dynamics of quantum entanglement and possibility of it's observation it in optomechanical systems. For such systems we calculate logarithmic negativity, one of the most popular entanglement measures, as a function of time. This measure characterizes the dynamics of quantum entanglement in a system with dissipation. We show that quantum entanglement is a result of dynamics of the system and at certain parameters it can persist for an infinitely long time. The results show that it is possible to use optomechanical systems for creating quantum memory.
03.65.Ta Foundations of quantum mechanics; measurement theory
03.67.Mn Entanglement measures, witnesses, and other characterizations
Department of Physics of Oscillations, Faculty of Physics, M.V.Lomonosov Moscow State University, Russia, 119991, Moscow, GSP-1, 1-2 Leninskiye Gory.
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