Single-Photon Storing in Coupled Non-Markovian Atom-Cavity System

Abstract

Taking the non-Markovian effect into account, we study how to store a single photon of arbitrary temporal shape in a single atom coupled to an optical cavity. Our model applies to Raman transitions in three-level atoms with one branch of the transition controlled by a driving pulse, and the other coupled to the cavity. For any couplings of input field to the optical cavity and detunings of the atom from the driving pulse and cavity, we extend the input-output relation from Markovian dynamics to non-Markovian one. For most possible photon shapes, we derive an analytic expression for the driving pulse in order to completely map the input photon into the atom. We find that, the amplitude of the driving pulse depends only on the detuning of the atom from the frequency of the cavity, i.e., the detuning of the atom to the driving pulse has no effect on the strength of the driving pulse.

11 pages, 8 figures

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Cited by in corpus (11)

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• Quantum response theory for open systems and its application to Hall conductance
• Exact non-Markovian master equation for a driven damped two-level system
• Non-Markovian dynamics with a driven three-level giant atom in a semi-infinite photonic waveguide
• Optomechanical second-order sidebands and group delays in a spinning resonator with parametric amplifier and non-Markovian effects
• Multiple single-photon generations in three-level atoms coupled to cavity with non-Markovian effects
• Limits to single photon transduction by a single atom: Non-Markov theory
• Trajectory tracking for non-Markovian quantum systems
• Sub-wavelength spin excitations in ultracold gases created by stimulated Raman transitions
• Any four orthogonal ququad-ququad maximally entangled states are locally markable
• Dressed bound states and non-Markovian dynamics with a whispering-gallery-mode microcavity coupled to a two-level atom and a semi-infinite photonic waveguide