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

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.

15 pages and 8 Figures

References in corpus (8)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Resolving the gravitational redshift within a millimeter atomic sample
• 'Designer atoms' for quantum metrology
• Dissipative Preparation of Spin Squeezed Atomic Ensembles in a Steady State
• Cavity QED engineering of spin dynamics and squeezing in a spinor gas
• Criteria for dynamically stable decoherence-free subspaces and incoherently generated coherences
• Decoherence-free quantum information in Markovian systems
• Decoherence-free quantum information in the presence of dynamical evolution

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• Effective description of cooling and thermal shifts in quantum systems coupled to bosonic modes
• Rapid transform optimisation strategy for decoherence-protected quantum register in diamond