skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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:
 [1];  [2];  [3];  [4];  [5]
  1. Institute of Physics (India)
  2. Russian Academy of Sciences, Landau Institute for Theoretical Physics (Russian Federation)
  3. International Center for Theoretical Physics (Italy)
  4. Universität zu Köln, Institut für Theoretische Physik (Germany)
  5. 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}
}