Quantum dynamics of spatial decoherence of two atoms in a ring cavity

TL;DR

This paper investigates how the spatial position and entanglement of two atoms in a ring cavity evolve over time, revealing position-dependent decoherence and finite-time entanglement decay influenced by atomic wave packet widths.

Contribution

It introduces a detailed analysis of spatial decoherence and entanglement dynamics of two atoms in a ring cavity, highlighting the dependence on relative position and wave packet width.

Findings

Spatial decoherence depends strongly on atomic relative position.

Entanglement decays to near zero in finite time.

Disentanglement time varies with wave packet width.

Abstract

We study the spatial decoherence dynamics for the relative position of two atoms in a singlemode ring cavity. We find that the spatial decoherence of the two atoms depends strongly on their relative position. Taking into account the spatial degrees of freedom, we investigate the entanglement dynamics of the internal states of the two atoms. It is shown that the entanglement decays to almost zero in a finite time, and the disentanglement time depends on the width of the wave packets describing the atomic spatial distribution.