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Extended two-level quantum dissipative system from bosonization of the elliptic spin-˝ Kondo model

Citation

Jacobsen, SH and Jarvis, PD, Extended two-level quantum dissipative system from bosonization of the elliptic spin- Kondo model, Journal of Physics A: Mathematical and Theoretical, 44, (11) Article 115003. ISSN 1751-8113 (2011) [Refereed Article]


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Copyright Statement

Copyright © 2011 Institute of Physics

Official URL: http://iopscience.iop.org/1751-8121/44/11/115003/

DOI: doi:10.1088/1751-8113/44/11/115003

Abstract

We study the elliptic spin-½ Kondo model (spin-½ fermions in one dimension with fully anisotropic contact interactions with a magnetic impurity) in the light of mappings to bosonic systems using the fermion-boson correspondence and associated unitary transformations. We show that for fixed fermion number, the bosonic system describes a two-level quantum dissipative system with two noninteracting copies of infinitely-degenerate upper and lower levels. In addition to the standard tunnelling transitions, and the transitions driven by the dissipative coupling, there are also bath-mediated transitions between the upper and lower states which simultaneously effect shifts in the horizontal degeneracy label. We speculate that these systems could provide new examples of continuous time quantum random walks, which are exactly solvable.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Mathematical Physics
Research Field:Integrable Systems (Classical and Quantum)
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Physical Sciences
Author:Jacobsen, SH (Miss Sol Jacobsen)
Author:Jarvis, PD (Dr Peter Jarvis)
ID Code:68766
Year Published:2011
Deposited By:Mathematics and Physics
Deposited On:2011-03-21
Last Modified:2013-01-31
Downloads:0

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