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Canadian Journal of Physics

Dynamics of a two dipole-coupled atom system driven by a quantized cavity field

Wen-Xuan Zhang, Lei Tan

Published Mar 2, 2017• 0 citations
Publisher

Abstract

Based on the master-equation approach, we investigate the dynamics of two dipole-coupled atoms by examining the atomic population and entanglement evolution. We show that the population decays rapidly and the entanglement is inhibited when the pump field is weak, while for the strongly pumped case, the evolution of population and entanglement is similar to one driven in the classical field. Furthermore, the evolution of the population can be controlled by the dipole–dipole interaction and detunings.

DOI
10.1139/cjp-2016-0762

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We examine the dynamics of bipartite quantum entanglement between a two-level atom and the electromagnetic field. We begin with the Jaynes-Cummings model with a single field mode and examine in detail the exact time evolution of entanglement, including cases where the atomic state is initially mixed and the atomic transition is detuned from resonance. We then explore the effects of other nearby modes by calculating the exact time evolution of entanglement in more complex systems with two, three, and five field modes. For these cases we can obtain exact solutions which include the strong-coupling regime. Finally, we consider the entanglement of a two-level atom with the infinite collection of modes present in the intracavity field of a Fabre-Perot cavity. In contrast to the usual treatment of atom-field interactions with a continuum of modes using the Born-Markov approximation, our treatment in all cases describes the full non-Markovian dynamics of the atomic subsystem under general couplings. Only when an analytic expression for the infinite mode case is desired do we need to make a weak coupling assumption which at late times approximates Markovian dynamics.
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