English

Quantum Time Crystals

Quantum Physics 2015-06-04 v2 Other Condensed Matter Superconductivity

Abstract

Difficulties around the idea of spontaneous breaking of time translation symmetry in a closed quantum mechanical system are identified, and then overcome in a simple model. The possibility of ordering in imaginary time is also discussed.

Keywords

Cite

@article{arxiv.1202.2539,
  title  = {Quantum Time Crystals},
  author = {Frank Wilczek},
  journal= {arXiv preprint arXiv:1202.2539},
  year   = {2015}
}

Comments

6 pages, no figures. v2: tightened format, additional references, small improvements

R2 v1 2026-06-21T20:18:14.348Z