Email this article U(1) and SU(2) quantum dissipative systems: the Caldeira–Leggett Versus Ambegaokar–Eckern–Schön approaches
- Authors: Shnirman A.1,2, Saha A.3, Burmistrov I.S.2,4, Kiselev M.N.5, Altland A.6, Gefen Y.7,8
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Affiliations:
- Institut fur Theorie der Kondensierten Materie
- Landau Institute for Theoretical Physics
- Institute of Physics
- Moscow Institute of Physics and Technology
- International Center for Theoretical Physics
- Institut für Theoretische Physik
- Department of Condensed Matter Physics
- Institut für Nanotechnologie
- Issue: Vol 122, No 3 (2016)
- Pages: 576-586
- Section: Special issue in honor of L.V. Keldysh’s 85th birthday Issue Editor: S. Tikhodeev
- URL: https://journals.rcsi.science/1063-7761/article/view/190016
- DOI: https://doi.org/10.1134/S1063776116030109
- ID: 190016
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Abstract
There are two paradigmatic frameworks for treating quantum systems coupled to a dissipative environment: the Caldeira–Leggett and Ambegaokar–Eckern–Schön approaches. Here, we recall the differences between them and explain the consequences of applying each to a zero-dimensional spin (having an SU(2) symmetry) in a dissipative environment (a dissipative quantum dot near or beyond the Stoner instability point).
About the authors
A. Shnirman
Institut fur Theorie der Kondensierten Materie; Landau Institute for Theoretical Physics
Author for correspondence.
Email: alexander.shnirman@kit.edu
Germany, Karlsruhe, D-76128; Moscow, 119334
A. Saha
Institute of Physics
Email: alexander.shnirman@kit.edu
India, Bhubaneswar, 751005
I. S. Burmistrov
Landau Institute for Theoretical Physics; Moscow Institute of Physics and Technology
Email: alexander.shnirman@kit.edu
Russian Federation, Moscow, 119334; Moscow, 141700
M. N. Kiselev
International Center for Theoretical Physics
Email: alexander.shnirman@kit.edu
Italy, Trieste, I-34014
A. Altland
Institut für Theoretische Physik
Email: alexander.shnirman@kit.edu
Germany, Köln, D-50937
Y. Gefen
Department of Condensed Matter Physics; Institut für Nanotechnologie
Email: alexander.shnirman@kit.edu
Israel, Rehovot, 76100; Karlsruhe, 76021
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