Noisy Spins and the Richardson-Gaudin Model.
Physical Review Letters
American Physical Society
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Rowlands, D., & Lamacraft, A. (2018). Noisy Spins and the Richardson-Gaudin Model.. Physical Review Letters, 120 (9), 090401-090401. https://doi.org/10.1103/PhysRevLett.120.090401
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.
D. A. R. and A. L. gratefully acknowledge the Engineering and Physical Sciences Research Council for financial support, under Grants No. EP/M506485/1 and No. EP/P034616/1, respectively
External DOI: https://doi.org/10.1103/PhysRevLett.120.090401
This record's URL: https://www.repository.cam.ac.uk/handle/1810/286149