Rabi oscillation in a quantum cavity: Markovian and non-Markovian dynamics
arXiv:1505.07908 · doi:10.1103/PhysRevA.93.023808
Abstract
We investigate the Rabi oscillation of an atom placed inside a quantum cavity where each mirror is formed by a chain of atoms trapped near a one-dimensional waveguide. This proposal was studied previously with the use of Markov approximation, where the delay due to the finite travel time of light between the two cavity mirrors is neglected. We show that Rabi oscillation analogous to that obtained with high-finesse classical cavities is achieved only when this travel time is much larger than the time scale that characterizes the collective response of the atomic chain. Therefore, the delay must be taken into account and the dynamics of the problem is inherently non-Markovian. Parameters of interest such as the Rabi frequency and the cavity loss rate due to photon leakage through the mirrors are obtained.
10 pages, 5 figures
References in corpus (7)
- Nanophotonic quantum phase switch with a single atom
- Superradiance for atoms trapped along a photonic crystal waveguide
- A Quantum Gate between a Flying Optical Photon and a Single Trapped Atom
- Persistent Quantum Beats and Long-Distance Entanglement from Waveguide-Mediated Interactions
- Multi-photon Scattering Theory and Generalized Master Equations
- Photonic Band Gaps in One-Dimensionally Ordered Cold Atomic Vapors
- Trapping of Ultracold Atoms in a Hollow-core Photonic Crystal Fiber
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