Adiabatic control of decoherence-free subspaces in an open collective system

Jarrod T. Reilly, Simon B. Jäger, John Cooper, and Murray J. Holland
Phys. Rev. A 106, 023703 – Published 3 August 2022

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 multiparticle 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 timescale 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.

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  • Received 28 January 2022
  • Accepted 18 July 2022

DOI:https://doi.org/10.1103/PhysRevA.106.023703

©2022 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Jarrod T. Reilly1,*, Simon B. Jäger1,2, John Cooper1, and Murray J. Holland1

  • 1JILA, NIST, and Department of Physics, University of Colorado Boulder, Boulder, Colorado 80309, USA
  • 2Physics Department and Research Center OPTIMAS, Technische Universität Kaiserslautern, 67663 Kaiserslautern, Germany

  • *Corresponding author: Jarrod.Reilly@colorado.edu

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Issue

Vol. 106, Iss. 2 — August 2022

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