U(1) and SU(2) quantum dissipative systems: the Caldeira–Leggett Versus Ambegaokar–Eckern–Schön approaches
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).
- Authors:
-
- Institute of Physics (India)
- Russian Academy of Sciences, Landau Institute for Theoretical Physics (Russian Federation)
- International Center for Theoretical Physics (Italy)
- Universität zu Köln, Institut für Theoretische Physik (Germany)
- Weizmann Institute of Science, Department of Condensed Matter Physics (Israel)
- Publication Date:
- OSTI Identifier:
- 22617304
- Resource Type:
- Journal Article
- Journal Name:
- Journal of Experimental and Theoretical Physics
- Additional Journal Information:
- Journal Volume: 122; Journal Issue: 3; Other Information: Copyright (c) 2016 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ENVIRONMENT; INSTABILITY; QUANTUM DOTS; QUANTUM SYSTEMS; SPIN; SU-2 GROUPS; U-1 GROUPS
Citation Formats
Shnirman, A., E-mail: alexander.shnirman@kit.edu, Saha, A., Burmistrov, I. S., Kiselev, M. N., Altland, A., and Gefen, Y. U(1) and SU(2) quantum dissipative systems: the Caldeira–Leggett Versus Ambegaokar–Eckern–Schön approaches. United States: N. p., 2016.
Web. doi:10.1134/S1063776116030109.
Shnirman, A., E-mail: alexander.shnirman@kit.edu, Saha, A., Burmistrov, I. S., Kiselev, M. N., Altland, A., & Gefen, Y. U(1) and SU(2) quantum dissipative systems: the Caldeira–Leggett Versus Ambegaokar–Eckern–Schön approaches. United States. https://doi.org/10.1134/S1063776116030109
Shnirman, A., E-mail: alexander.shnirman@kit.edu, Saha, A., Burmistrov, I. S., Kiselev, M. N., Altland, A., and Gefen, Y. 2016.
"U(1) and SU(2) quantum dissipative systems: the Caldeira–Leggett Versus Ambegaokar–Eckern–Schön approaches". United States. https://doi.org/10.1134/S1063776116030109.
@article{osti_22617304,
title = {U(1) and SU(2) quantum dissipative systems: the Caldeira–Leggett Versus Ambegaokar–Eckern–Schön approaches},
author = {Shnirman, A., E-mail: alexander.shnirman@kit.edu and Saha, A. and Burmistrov, I. S. and Kiselev, M. N. and Altland, A. and Gefen, Y.},
abstractNote = {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).},
doi = {10.1134/S1063776116030109},
url = {https://www.osti.gov/biblio/22617304},
journal = {Journal of Experimental and Theoretical Physics},
issn = {1063-7761},
number = 3,
volume = 122,
place = {United States},
year = {Tue Mar 15 00:00:00 EDT 2016},
month = {Tue Mar 15 00:00:00 EDT 2016}
}
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