Abstract

Wehrl entropy and its density are used to investigate the dynamics of loss of coherence and information in a phase space for an atomic model of two-photon two-level atom coupled to different radiation reservoirs (namely, normal vacuum (NV), thermal field (TF) and squeezed vacuum (SV) reservoirs). Particularly, quantum interference (QI) effect, due to the 2-photon transition decay channels, has a paramount role in: (i) the atomic inversion decay in the NV case, which behaves as quantum Zeno and anti-Zeno decay effect; (ii) the coherence and information loss in the phase space; and (iii) identifying temporal information entropy squeezing. Results are also sensitive to the initial atomic state.

Highlights

  • Generated coherence or quantum interference (QI) process occurs in atomic systems with multi-level structure. it is a result of coupling between two, or more, indirect photon emission channels [1,2]

  • Two remarks are noted about Equation (1): (i) the time-dependent harmonic coefficients are due to the presence of the squeezed vacuum (SV) reservoir (M 6= 0); and (ii) the coupling of the atomic variables, rz,± (t), is wholly due to the QI process ( f 6= 0)

  • We have examined the model of 2-level atom model with two-photon transition in the presence of different radiation reservoirs, namely, the normal vacuum (NV), thermal field (TF) and SV reservoirs

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Summary

Introduction

Generated coherence or quantum interference (QI) process occurs (among other systems) in atomic systems with multi-level structure. it is a result of coupling between two, or more, indirect photon emission channels [1,2]. The QI process has shown its role in many experimental quantum optical phenomena These include, among others, resonance fluorescence linewidth narrowing (i.e., reduction of radiative decay rate) [3] and zero absorption spectrum of a weak field probing atomic media (i.e., transparent atomic medium) [4,5,6,7]. This has its implications, within quantum information processing, to transform information via a probe pulse without any distortion, as well potential applications in other phenomena in non-linear optics [8], e.g., lasing without inversion, slowing and storing light [9,10], and superluminal light propagation ([11] and references therein).

Model Bloch Equations
Wehrl Density and Entropy
Entropy Squeezing
Atomic Behavior
Summary
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