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math-phAug 26, 2012
authors
  • Sven Bachmann
institutions
  • University of California, Davis
arXiv abstractPDF
paper

On ground state phases of quantum spin systems

arXiv:1208.5263

Abstract

In this short note, I review some recent results about gapped ground state phases of quantum spin systems and discuss the notion of topological order.

Note written for the News Bulletin of the International Association of Mathematical Physics (IAMP); IAMP News Bulletin, July 2012

References in corpus (10)

  • Anyons in an exactly solved model and beyond
  • Area laws for the entanglement entropy - a review
  • Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
  • An Area Law for One Dimensional Quantum Systems
  • Classifying quantum phases using Matrix Product States and PEPS
  • Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
  • Lieb-Schultz-Mattis in Higher Dimensions
  • Complete classification of 1D gapped quantum phases in interacting spin systems
  • Product vacua with boundary states
  • Much Ado About Something: Why Lieb-Robinson bounds are useful
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