Exactly solvable three-level quantum dissipative systems via bosonization of fermion gas-impurity models

DOI10.1088/1751-8113/43/25/255305zbMATH Open1193.82026arXiv1002.1747OpenAlexW2168187735MaRDI QIDQ3575099

Publication date: 7 July 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Abstract: We study the relationship between one-dimensional fermion gas-impurity models and quantum dissipative systems, via the method of constructive bosonisation and unitary transformation. Starting from an anisotropic Coqblin-Schrieffer model, a new, exactly solvable, three-level quantum dissipative system is derived as a generalisation of the standard spin-half 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.

Full work available at URL: https://arxiv.org/abs/1002.1747

zbMATH Keywords

unitary transformation quantum dissipative system constructive bosonization Coqblin-Schrieffer model

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Operator algebra methods applied to problems in quantum theory (81R15) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)