Interaction of bimodal fields with few-level atoms in cavities and traps

Abstract

The spectacular experimental results of the last few years in cavity quantum electrodynamics and trapped ions research has led to very high level laboratory performances. Such a stimulating situation essentially stems from two decisive advancements. The first is the invention of reliable protocols for the manipulation of single atoms. The second is the ability to produce desired bosonic environments on demand. These progresses have led to the possibility of controlling the form of the coupling between individual atoms and an arbitrary number of bosonic modes. As a consequence, fundamental matter-radiation interaction models like, for instance, the JC model and most of its numerous nonlinear multiphoton generalizations, have been realized or simulated in laboratory and their dynamical features have been tested more or less in detail. This topical paper reviews the state of the art of the theoretical investigations and of the experimental observations concerning the dynamical features of the coupling between single few-level atoms and two bosonic modes. In the course of the paper we show that such a configuration provides an excellent platform for investigating various quantum intermode correlation effects tested or testable in the cavity quantum electrodynamics and trapped ion experimental realms. In particular we discuss a mode-mode correlation effect appearing in the dynamics of a two-level atom quadratically coupled to two bosonic modes. This effect, named parity effect, consists in a high sensitivity to the evenness or oddness of the total number of bosonic excitations.

arXiv commentTopical Review. To appear on J. Mod. Opt

References in corpus (10)

• Experimental issues in coherent quantum-state manipulation of trapped atomic ions
• Quantum state engineering on an optical transition and decoherence in a Paul trap
• Controlled entanglement of two field modes in a Cavity Quantum Electrodynamics experiment
• Dark pair coherent states of the motion of a trapped ion
• Engineering two-mode interactions in ion traps
• Quantum mechanical counterpart of nonlinear optics
• High-order nonlinearities in the motion of a trapped atom
• Quantum-state synthesis of multi-mode bosonic fields: Preparation of arbitrary states of 2-D vibrational motion of trapped ions
• Quantum synthesis of arbitrary unitary operators
• Decoherence and robustness of parity-dependent entanglement in the dynamics of a trapped ion

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• Quasienergy operators and generalized squeezed states for systems of trapped ions
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