Engineering W-type steady states for three atoms via dissipation in an optical cavity

TL;DR

This paper presents a method to reliably generate W-type entangled steady-states of three atoms in an optical cavity through engineered dissipation, avoiding complex initial state preparation or precise timing.

Contribution

It introduces a novel dissipative scheme that uses effective operator formalism to stabilize W-type entangled states without strict control requirements.

Findings

Successfully stabilizes W-type entangled states in simulations

Does not require initial state preparation

Operates with flexible system parameters

Abstract

We propose a scheme for the dissipative preparation of W-type entangled steady-states of three atoms trapped in an optical cavity. The scheme is based on the competition between the decay processes into and out of the target state. By suitable choice of system parameters, we resolve the whole evolution process and employ the effective operator formalism to engineer four independent decay processes, so that the target state becomes the stationary state of the quantum system. The scheme requires neither the preparation of definite initial states nor the precise control of system parameters and preparation time.