Dynamics and Protecting of Entanglement in Two-Level Systems Interacting with a Dissipative Cavity: The Gardiner-Collett Approach

TL;DR

This paper investigates the entanglement dynamics of two atoms in a dissipative cavity using the Gardiner-Collett approach, identifying decoherence-free states, super-radiant decay, and applying the quantum Zeno effect to preserve entanglement.

Contribution

It introduces an exact analysis of entanglement evolution in a dissipative cavity system using the Gardiner-Collett Hamiltonian and demonstrates entanglement preservation via the quantum Zeno effect.

Findings

Existence of a decoherence-free state that remains unchanged over time.

Identification of a super-radiant state that decays due to dissipation.

Quantum Zeno effect can be used to preserve stored entanglement.

Abstract

In this paper, we study the exact entanglement dynamics of two two-level atoms in a dissipative cavity. We use the Gardiner-Collett Hamiltonian to model the dissipative cavity, in which, we assume that the two atoms resonantly interact with the cavity field and the cavity field itself interacts with the surrounding medium. Then, with the help of the Fano's technique, we show that, this system can be regarded as two atoms interacting with a heat bath. In such a case, we find that, there exists a decoherence-free state that does not evolve in time. At this time, there exists a so-called super-radiant state which decays in time due to dissipation. At last, we use the quantum Zeno effect to preserve the entanglement which already has been stored in the system.