Adiabatic Control of Decoherence-Free-Subspaces in an Open Collective System

TL;DR

This paper introduces an adiabatic control method for atomic ensembles within a dissipative cavity to engineer decoherence-free subspaces, enabling high-fidelity, rapid state preparation for quantum information and metrology.

Contribution

It presents a novel scheme to create DFS in the presence of collective decoherence and optimizes the driving process for faster, high-fidelity state engineering.

Findings

Successfully engineered a DFS eigenstate with high entanglement.

Achieved state preparation time independent of atom number.

Demonstrated improved fidelity with optimized driving scheme.

Abstract

We propose a method to adiabatically control an atomic ensemble using a decoherence-free subspace (DFS) within a dissipative cavity. We can engineer a specific eigenstate of the system's Lindblad jump operators by injecting a field into the cavity which deconstructively interferes with the emission amplitude of the ensemble. In contrast to previous adiabatic DFS proposals, our scheme creates a DFS in the presence of collective decoherence. We therefore have the ability to engineer states that have high multi-particle entanglements which may be exploited for quantum information science or metrology. We further demonstrate a more optimized driving scheme that utilizes the knowledge of possible diabatic evolution gained from the so-called adiabatic criteria. This allows us to evolve to a desired state with exceptionally high fidelity on a time scale that does not depend on the number of atoms in the ensemble. By engineering the DFS eigenstate adiabatically, our method allows for faster state preparation than previous schemes that rely on damping into a desired state solely using dissipation.