Impossibility of Spontaneously Rotating Time-Crystals: A No-Go Theorem

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.

5 pages (main paper) + 5 pages (supplemental material); v2: typos corrected, references updated; v3: final version, as published (minor changes with respect to v2)

References in corpus (3)

• Many-Body Physics with Ultracold Gases
• Comment on "Quantum Time Crystals": a new paradigm or just another proposal of perpetuum mobile?
• Hall effects in Bose-Einstein condensates in a rotating optical lattice

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