U(1) and SU(2) quantum dissipative systems: the Caldeira–Leggett Versus Ambegaokar–Eckern–Schön approaches

Journal Article · Tue Mar 15 00:00:00 EDT 2016 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776116030109· OSTI ID:22617304

Saha, A. ^[1]; Burmistrov, I. S. ^[2]; Kiselev, M. N. ^[3]; Altland, A. ^[4]; Gefen, Y. ^[5]

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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)

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).

• OSTI ID: 22617304
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 122, Issue 3; Other Information: Copyright (c) 2016 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ENVIRONMENT
INSTABILITY
QUANTUM DOTS
QUANTUM SYSTEMS
SPIN
SU-2 GROUPS
U-1 GROUPS