Translation symmetry and long-range entanglement

ORAL

Abstract

We show that if a quantum many-body state has certain nontrivial properties under translation symmetries, it will necessarily be long-range entangled. Several powerful statements in quantum many-body physics, including the celebrated Lieb-Schultz-Mattis theorem, can be viewed as corollaries of our result.

Presenters

  • Lei Yang

    • Perimeter Inst for Theo Phys

Authors

  • Lei Yang

    • Perimeter Inst for Theo Phys
  • Chong Wang

    • Perimeter Institute for Theoretical Physics
    • Perimeter Institute