Fokker-Planck treatment of nonlinearities in the dispersive coupling of an ion and an optical cavity
arXiv:2303.16936 · doi:10.1103/PhysRevA.107.033712
Abstract
We complement previous studies of an ion coupled with an optical cavity in the dispersive regime, for a model which exhibits bistability of different configurations in the semiclassical description. Our approach is based on a truncated evolution in phase space and is intended to explore an especially interesting parameter region where the fully quantum-mechanical solution becomes hard but the crudest semiclassical approach fails to capture essential phenomena. We compare the results of our techniques with the ones from numerical diagonalization of the quantum evolution and find that although the treatment leads to a smoothening and a slight shift of the transitions in the system, it still provides a clear improvement over localized semiclassical approximations.
References in corpus (12)
- Cold atoms in cavity-generated dynamical optical potentials
- Dissipative Phase Transition in the Open Quantum Rabi Model
- Tuning friction atom-by-atom in an ion-crystal simulator
- A single ion coupled to an optical fiber cavity
- Frenkel-Kontorova model with cold trapped ions
- Quantum Phases of Trapped Ions in an Optical Lattice
- Metastability in an open quantum Ising model
- Pinning an Ion with an Intracavity Optical Lattice
- Structural transitions of ion strings in quantum potentials
- Noise-induced transport in the motion of trapped ions
- A trapped ion in an optical cavity: numerical study of an optomechanical transition in the few-photon regime
- Mean first passage times reconstruct the slowest relaxations in potential energy landscapes of nanoclusters