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

  • Special issue in honor of L.V. Keldysh’s 85th birthday Issue Editor: S. Tikhodeev
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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).

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Authors and Affiliations

  1. Institut fur Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, Karlsruhe, D-76128, Germany

    A. Shnirman

  2. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, 119334, Russia

    A. Shnirman & I. S. Burmistrov

  3. Institute of Physics, Bhubaneswar, 751005, India

    A. Saha

  4. Moscow Institute of Physics and Technology, Moscow, 141700, Russia

    I. S. Burmistrov

  5. International Center for Theoretical Physics, Trieste, I-34014, Italy

    M. N. Kiselev

  6. Institut für Theoretische Physik, Universität zu Köln, Köln, D-50937, Germany

    A. Altland

  7. Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot, 76100, Israel

    Y. Gefen

  8. Institut für Nanotechnologie, Karlsruhe Institute of Technology, Karlsruhe, 76021, Germany

    Y. Gefen

Authors
  1. A. Shnirman
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  2. A. Saha
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  3. I. S. Burmistrov
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  4. M. N. Kiselev
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  5. A. Altland
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  6. Y. Gefen
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Corresponding author

Correspondence to A. Shnirman.

Additional information

Contribution for the JETP special issue in honor of L.V. Keldysh’s 85th birthday

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Shnirman, A., Saha, A., Burmistrov, I.S. et al. U(1) and SU(2) quantum dissipative systems: the Caldeira–Leggett Versus Ambegaokar–Eckern–Schön approaches. J. Exp. Theor. Phys. 122, 576–586 (2016). https://doi.org/10.1134/S1063776116030109

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  • DOI: https://doi.org/10.1134/S1063776116030109

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