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Open Quantum Systems Decoherence

Noisy Spins and the Richardson-Gaudin Model

arXiv
Authors: Daniel A. Rowlands, Austen Lamacraft

Year

2017

Paper ID

25339

Status

Preprint

Abstract Read

~2 min

Abstract Words

89

Citations

N/A

Abstract

We study a system of spins (qubits) coupled to a common noisy environment, each precessing at its own frequency. The correlated noise experienced by the spins implies long-lived correlations that relax only due to the differing frequencies. We use a mapping to a non-Hermitian integrable Richardson-Gaudin model to find the exact spectrum of the quantum master equation in the high-temperature limit, and hence determine the decay rate. Our solution can be used to evaluate the effect of inhomogeneous splittings on a system of qubits coupled to a common bath.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • We study a system of spins (qubits) coupled to a common noisy environment, each precessing at its own frequency.

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