Gaussian enveloped decoherence of the atomic states in quantum cavity

TL;DR

This paper investigates the decoherence dynamics of atomic states in a quantum cavity, revealing Gaussian time dependence of purity oscillations, especially when the atom and field are phase-matched, advancing understanding of quantum decoherence processes.

Contribution

It demonstrates that atomic decoherence in the Jaynes-Cummings model exhibits Gaussian time dependence, with a focus on phase-matching conditions, providing new insights into decoherence behavior.

Findings

Atomic purity oscillates with Gaussian dependence on time.

Decoherence width is independent of initial atomic state.

Phase matching leads to Gaussian time dependence of decoherence.

Abstract

We revisit the decoherence of the atomic state in the resonant Jaynes-Cummings model with the field initially being in a coherent state. We show that the purity of the atom exhibits oscillating Gaussian dependence on the time with a width independent of the initial atomic state. It is also shown that when the atom and the coherent state match each other in phase, the atomic decoherence is Gaussian time dependence.