Impossibility of Spontaneously Rotating Time-Crystals: A No-Go Theorem
Quantum Physics
2013-08-20 v3 Other Condensed Matter
Superconductivity
Abstract
I present arguments indicating the impossibility of spontaneously rotating quantum timecrystals, as recently proposed by Frank Wilczek [arXiv:1202.2539]. In particular, I prove a No-Go Theorem, rigorously ruling out the possibility of spontaneous ground-state (or thermal equilibrium) rotation for a broad class of systems.
Cite
@article{arxiv.1306.6275,
title = {Impossibility of Spontaneously Rotating Time-Crystals: A No-Go Theorem},
author = {Patrick Bruno},
journal= {arXiv preprint arXiv:1306.6275},
year = {2013}
}
Comments
5 pages (main paper) + 5 pages (supplemental material); v2: typos corrected, references updated; v3: final version, as published (minor changes with respect to v2)