Approximate evolution for a hybrid system: An optomechanical Jaynes-Cummings model
arXiv:2008.03839 · doi:10.3390/e22121373
Abstract
In this work we start from a phenomenological Hamiltonian built from two known systems: the Hamiltonian of a pumped optomechanical system and the Jaynes Cummings Hamiltonian. Using algebraic techniques we construct an approximate time evolution operator for the forced optomechanical system (as a product of exponentials) and take the JC Hamiltonian as an interaction. We transform the later with to obtain a generalized interaction picture Hamiltonian which can be linearized and whose time evolution operator is written in a product form. The analytic results are compared with purely numerical calculations using the full Hamiltonian and the agreement between them is remarkable.
References in corpus (26)
- Cavity Optomechanics
- Long-distance quantum communication with atomic ensembles and linear optics
- Quantum state transfer and entanglement distribution among distant nodes in a quantum network
- QuTiP: An open-source Python framework for the dynamics of open quantum systems
- Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
- Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
- Optomechanical entanglement between a movable mirror and a cavity field
- Self-cooling of a micro-mirror by radiation pressure
- Cavity Optomechanics
- Preparation of Nonclassical States in Cavities with a Moving Mirror
- A short walk through quantum optomechanics
- An all-optical trap for a gram-scale mirror
- Parametric Normal-Mode Splitting in Cavity Optomechanics
- Ponderomotive Control of Quantum Macroscopic Coherence
- Hybrid quantum devices and quantum engineering
- Self-induced oscillations in an optomechanical system
- Strong coupling of a mechanical oscillator and a single atom
- Optomechanical analog of two-color electromagnetically-induced transparency: Photon transmission through an optomechanical device with a two-level system
- Tunable photon blockade in a hybrid system consisting of an optomechanical device coupled to a two-level system
- Enhancement of Cavity Cooling of a Micromechanical Mirror Using Parametric Interactions
- Quantum Optomechanics in the Bistable Regime
- Electromagnetically Induced Transparency from a Single Atom in Free Space
- Operator approach to quantum optomechanics
- The exact solution of generalized Dicke models via Susskind-Glogower operators
- Nonlinear coherent state generation in the two-photon Jaynes-Cummings model
- Generalized Schrödinger cat states and their classical emulation