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Exactly solvable three-level quantum dissipative systems via bosonization of fermion gas-impurity models
We study the relationship between one-dimensional fermion gas-impurity models and quantum dissipative systems, via the method of constructive bosonization and unitary transformation. Starting from an anisotropic Coqblin–Schrieffer model, a new, exactly solvable, three-level quantum dissipative system is derived as a generalization of the standard spin- spin-boson model. The new system has two environmental oscillator baths with ohmic coupling, and admits arbitrary detuning between the three levels. All tunnelling matrix elements are equal, up to one complex phase which is itself a function of the longitudinal and transverse couplings in the integrable limit. Our work underlines the importance of re-examining the detailed structure of fermion-gas impurity models and spin chains, in the light of connections to models for quantum dissipative systems
History
Publication title
Journal of Physics A : Mathematical and TheoreticalVolume
43Issue
25Pagination
1-11ISSN
1751-8113Department/School
School of Natural SciencesPublisher
IOP PublishingPlace of publication
United KingdomRights statement
Copyright © 2010 IOP Publishing LtdRepository Status
- Restricted