Noisy Spins and the Richardson-Gaudin Model.
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Rowlands, Daniel A
Lamacraft, Austen https://orcid.org/0000-0002-0707-0488
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.
Description
Keywords
quant-ph, quant-ph, cond-mat.str-el, nlin.SI
Journal Title
Physical Review Letters
Conference Name
Journal ISSN
0031-9007
1079-7114
1079-7114
Volume Title
120
Publisher
American Physical Society
Publisher DOI
Sponsorship
EPSRC (1492295)
Engineering and Physical Sciences Research Council (EP/P034616/1)
Engineering and Physical Sciences Research Council (EP/M506485/1)
Engineering and Physical Sciences Research Council (EP/P034616/1)
Engineering and Physical Sciences Research Council (EP/M506485/1)
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