Two-bath spin-boson model: Phase diagram and critical properties

Benedikt Bruognolo, Andreas Weichselbaum, Cheng Guo, Jan von Delft, Imke Schneider, and Matthias Vojta
Phys. Rev. B 90, 245130 – Published 18 December 2014

Abstract

The spin-boson model, describing a two-level system coupled to a bath of harmonic oscillators, is a generic model for quantum dissipation, with manifold applications. It has also been studied as a simple example for an impurity quantum phase transition. Here, we present a detailed study of a U(1)-symmetric two-bath spin-boson model, where two different components of an SU(2) spin 12 are coupled to separate dissipative baths. Nontrivial physics arises from the competition of the two dissipation channels, resulting in a variety of phases and quantum phase transitions. We employ a combination of analytical and numerical techniques to determine the properties of both the stable phases and the quantum critical points. In particular, we find a critical intermediate-coupling phase which is bounded by a continuous quantum phase transition which violates the quantum-to-classical correspondence.

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  • Received 17 October 2014
  • Revised 28 November 2014

DOI:https://doi.org/10.1103/PhysRevB.90.245130

©2014 American Physical Society

Authors & Affiliations

Benedikt Bruognolo1, Andreas Weichselbaum1, Cheng Guo1, Jan von Delft1, Imke Schneider2, and Matthias Vojta3

  • 1Physics Department, Arnold Sommerfeld Center for Theoretical Physics, and Center for NanoScience, Ludwig-Maximilians-Universität, Theresienstraße 37, 80333 München, Germany
  • 2Physics Department and Research Center OPTIMAS, Technische Universität Kaiserslautern, 67663 Kaiserslautern, Germany
  • 3Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany

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Issue

Vol. 90, Iss. 24 — 15 December 2014

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