μ-symmetry breaking: An algebraic approach to finding mean fields of quantum many-body systems

Sho Higashikawa and Masahito Ueda
Phys. Rev. A 94, 013613 – Published 21 July 2016

Abstract

One of the most fundamental problems in quantum many-body systems is the identification of a mean field in spontaneous symmetry breaking which is usually made in a heuristic manner. We propose a systematic method of finding a mean field based on the Lie algebra and the dynamical symmetry by introducing a class of symmetry-broken phases which we call μ-symmetry breaking. We show that for μ-symmetry breaking the quadratic part of an effective Lagrangian of Nambu-Goldstone modes can be block-diagonalized and that homotopy groups of topological excitations can be calculated systematically.

  • Figure
  • Received 12 June 2015
  • Revised 25 June 2016

DOI:https://doi.org/10.1103/PhysRevA.94.013613

©2016 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Sho Higashikawa1 and Masahito Ueda1,2

  • 1Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
  • 2RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan

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Issue

Vol. 94, Iss. 1 — July 2016

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