Nonlinear Dynamics and Quantum Entanglement in Optomechanical Systems

作者:Wang, Guanglei*; Huang, Liang; Lai, Ying-Cheng; Grebogi, Celso
来源:Physical Review Letters, 2014, 112(11): 110406.
DOI:10.1103/PhysRevLett.112.110406

摘要

To search for and exploit quantum manifestations of classical nonlinear dynamics is one of the most fundamental problems in physics. Using optomechanical systems as a paradigm, we address this problem from the perspective of quantum entanglement. We uncover strong fingerprints in the quantum entanglement of two common types of classical nonlinear dynamical behaviors: periodic oscillations and quasiperiodic motion. There is a transition from the former to the latter as an experimentally adjustable parameter is changed through a critical value. Accompanying this process, except for a small region about the critical value, the degree of quantum entanglement shows a trend of continuous increase. The time evolution of the entanglement measure, e. g., logarithmic negativity, exhibits a strong dependence on the nature of classical nonlinear dynamics, constituting its signature.