Phononic Josephson oscillation and self-trapping with two-phonon exchange interaction
arXiv:1705.08645 · doi:10.1103/PhysRevA.96.023832
Abstract
We propose a bosonic Josephson junction (BJJ) in two nonlinear mechanical resonator coupled through two-phonon exchange interaction induced by quadratic optomechanical couplings. The nonlinear dynamic equations and effective Hamiltonian are derived to describe behaviors of the BJJ. We show that the BJJ can work in two different dynamical regimes: Josephson oscillation and macroscopic self-trapping. The system can transfer from one regime to the other one when the self-interaction and asymmetric parameters exceed their critical values. We predict that a transition from Josephson oscillation to macroscopic self-trapping can be induced by the phonon damping in the asymmetric BJJs. Our results opens up a way to demonstrate BJJ with two-phonon exchange interaction and can be applied to other systems, such as the optical and microwave systems.
7 pages, 7 figures
References in corpus (12)
- Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
- Optomechanical entanglement between a movable mirror and a cavity field
- Quantum Many-Body Phenomena in Coupled Cavity Arrays
- State Transfer Between a Mechanical Oscillator and Microwave Fields in the Quantum Regime
- Coherent Oscillations in an Exciton-Polariton Josephson Junction
- Phonon counting and intensity interferometry of a nanomechanical resonator
- Cavity-assisted squeezing of a mechanical oscillator
- The quantum optical Josephson interferometer
- Few-boson dynamics in double wells: From single-atom to correlated-pair tunneling
- Detecting phonon blockade with photons
- Atom-Pair Tunneling and Quantum Phase Transition in Strong Interaction Regime
- Quantum state transmission in a cavity array via two-photon exchange