Cavity cooling to the ground state of an ensemble quantum system

Abstract

We describe a method for initializing an ensemble of qubits in a pure ground state by applying collective cavity cooling techniques in the presence of local dephasing noise on each qubit. To solve the dynamics of the ensemble system we introduce a method for dissipative perturbation theory that applies average Hamiltonian theory in an imaginary-time dissipative interaction frame to find an average effective dissipator for the system dynamics. We use SU(4) algebra generators to analytically solve the first order perturbation for an arbitrary number of qubits in the ensemble. We find that to first order the effective dissipator describes local $T_1$ thermal relaxation to the ground state of each qubit in the ensemble at a rate equal to the collective cavity cooling dissipation rate. The proposed technique should permit the parallel initialization of high purity states in large ensemble quantum systems based on solid-state spins.

10 pages, 2 figures. V2 Includes additional appendix on strong dephasing limit and fixes some typos

References in corpus (9)

• The Magnus expansion and some of its applications
• Strong Coupling of a Spin Ensemble to a Superconducting Resonator
• Microwave-Induced Cooling of a Superconducting Qubit
• Dynamic nuclear polarization and spin-diffusion in non-conducting solids
• Spectroscopic properties of inhomogeneously broadened spin ensembles in a cavity
• A spin based heat engine: demonstration of multiple rounds of algorithmic cooling
• Fast, low-power manipulation of spin ensembles in superconducting microresonators
• Principles of Control for Decoherence-Free Subsystems
• Inductive measurement of optically hyperpolarized phosphorous donor nuclei in an isotopically-enriched silicon-28 crystal

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• Heat flow reversals without reversing the arrow of time: the role of internal quantum coherences and correlations
• Optimal control of an inhomogeneous spin ensemble coupled to a cavity
• Algebraic solution of the Lindblad equation for a collection of multilevel systems coupled to independent environments
• Generalized Collective Lamb Shift