Quantum Synchronization of Quantum van der Pol Oscillators with Trapped Ions
Abstract
The van der Pol oscillator is the prototypical self-sustained oscillator and has been used to model nonlinear behavior in biological and other classical processes. We investigate how quantum fluctuations affect phase locking of one or many van der Pol oscillators. We find that phase locking is much more robust in the quantum model than in the equivalent classical model. Trapped-ion experiments are ideally suited to simulate van der Pol oscillators in the quantum regime via sideband heating and cooling of motional modes. We provide realistic experimental parameters for Yb+171 achievable with current technology.
- Publication:
-
Physical Review Letters
- Pub Date:
- December 2013
- DOI:
- 10.1103/PhysRevLett.111.234101
- arXiv:
- arXiv:1306.6359
- Bibcode:
- 2013PhRvL.111w4101L
- Keywords:
-
- 05.45.Mt;
- 05.45.Xt;
- 37.10.Ty;
- Quantum chaos;
- semiclassical methods;
- Synchronization;
- coupled oscillators;
- Ion trapping;
- Quantum Physics;
- Condensed Matter - Quantum Gases;
- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- 5 pages + appendix