Dissipation-driven formation of entangled dark states in strongly coupled inhomogeneous many-qubit systems in solid-state nanocavities

Mikhail Tokman, Alex Behne, Brandon Torres, Maria Erukhimova, Yongrui Wang, and Alexey Belyanin
Phys. Rev. A 107, 013721 – Published 27 January 2023

Abstract

We study quantum dynamics of many-qubit systems strongly coupled to a quantized electromagnetic cavity field in the presence of decoherence and dissipation for both quantum emitters and cavity photons, taking into account the varying coupling strength of different qubits to the cavity field and the spread of their transition frequencies. Compact analytic solutions for time-dependent quantum state amplitudes and observables are derived for a broad class of open quantum systems in Lindblad approximation with the use of the stochastic Schrödinger equation approach. We show that depending on the initial quantum state preparation, an ensemble of qubits can evolve into a rich variety of many-qubit entangled states with destructive or constructive interference between the qubits. In particular, when only a small fraction of qubits are initially excited, the dissipation in a cavity will inevitably drive the system into robust dark states that are completely decoupled from the cavity and live much longer than the decay time of the cavity field. We also determine the conditions under which coherent coupling to the quantized cavity field overcomes the dephasing caused by a spread of transition frequencies in multiqubit systems and leads to the formation of a decoupled dark state.

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  • Received 18 July 2022
  • Accepted 4 January 2023

DOI:https://doi.org/10.1103/PhysRevA.107.013721

©2023 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyAtomic, Molecular & Optical

Authors & Affiliations

Mikhail Tokman1, Alex Behne2, Brandon Torres2, Maria Erukhimova3, Yongrui Wang2, and Alexey Belyanin2

  • 1Department of Electrical and Electronic Engineering, Ariel University, 40700 Ariel
  • 2Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843, USA
  • 3Biraghigasse 8, 1130 Vienna, Austria

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Issue

Vol. 107, Iss. 1 — January 2023

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