Nonlinear dynamics and quantum entanglement in optomechanical systems.
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.
School of Electrical, Computer, and Energy Engineering, Arizona State University, Tempe, Arizona 85287, USA.
Guanglei
G
Wang
School of Electrical, Computer, and Energy Engineering, Arizona State University, Tempe, Arizona 85287, USA and School of Physical Science and Technology and Key Laboratory for Magnetism and Magnetic Materials of MOE, Lanzhou University, Lanzhou, Gansu 730000, China.
Liang
L
Huang
School of Electrical, Computer, and Energy Engineering, Arizona State University, Tempe, Arizona 85287, USA and Institute for Complex Systems and Mathematical Biology, King's College, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom.
Ying-Cheng
YC
Lai
Institute for Complex Systems and Mathematical Biology, King's College, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom.
Celso
C
Grebogi
D055617:Micro-Electrical-Mechanical Systems; D017711:Nonlinear Dynamics; D055096:Optical Devices; D055095:Optics and Photonics; D011789:Quantum Theory