# Engineering steady-state entanglement via dissipation and quantum Zeno dynamics in optical cavity

## TL;DR

This paper introduces a novel dissipative scheme combining quantum Zeno dynamics and atomic light shifts to reliably generate high-fidelity entangled states in optical cavities, even with significant cavity decay.

## Contribution

It proposes a new method for steady-state entanglement generation that is robust against cavity decay and does not require high cooperativity, extending to KLM states.

## Key findings

- High-fidelity entanglement achievable with low cooperativity
- Steady state independent of initial conditions
- Fast convergence despite cavity decay

## Abstract

A new mechanism is proposed for dissipatively preparing maximal Bell entangled state of two atoms in an optical cavity. This scheme integrates the spontaneous emission, the light shift of atoms in the presence of dispersive microwave field, and the quantum Zeno dynamics induced by continuous coupling, to obtain a unique steady state irrespective of initial state. Even for a large cavity decay, a high-fidelity entangled state is achievable at a short convergence time, since the occupation of cavity mode is inhibited by the Zeno requirement. Therefore, a low single-atom cooperativity $C=g^2/(\kappa\gamma)$ is good enough for realizing a high fidelity of entanglement in a wide range of decoherence parameters. As a straightforward extension, the feasibility for preparation of two-atom Knill-Laflamme-Milburn state with the same mechanism is also discussed.