Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 53, Issue 39, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/abab54
Keywords
Richardson-Gaudin models; dissipative systems; group theory; non-Hermitian mean-field
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Funding
- Spanish Ministerio de Ciencia, Innovacion y Universidades
- European regional development fund (FEDER) [PGC2018-094180-B-I00]
- Mexican CONACyT [CB2015-01/255702]
- Spanish Grant I-COOP2017 [COOPB20289]
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We derive the exact solution of a system ofN-level atoms in contact with a Markovian reservoir. The resulting Liouvillian expressed in a vectorized basis is mapped to anSU(N) trigonometric Richardson-Gaudin model whose exact solution is given by a set of non-linear coupled equations. ForN= 2 (SU(2)) we recover the exact solution of (2019Phys. Rev. Lett.122010401). We then study theSU(3) case for three-level atom systems and discuss the properties of the steady state and dissipative gaps for finite systems as well as for the thermodynamic limit.
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