Emergent time crystals from phase-space noncommutative quantum mechanics

• Type: Article in International Scientific Journal
• Date: 2022

Authors

Bernardini, AE (Author) Other; Bertolami, O (Author) FCUP

Journal

Title: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Vol. 835

ISSN: 0370-2693

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 7 Citations

Other information

Authenticus ID: P-00X-CXF

DOI: 10.1016/j.physletb.2022.137549

Abstract (EN): It has been argued that the existence of time crystals requires a spontaneous breakdown of the continuous time translation symmetry so to account for the unexpected non-stationary behavior of quantum observables in the ground state. Our point is that such effects do emerge from position ((q) over cap (i)) and/or momentum ((p) over cap (i)) noncommutativity, i.e., from [(q) over cap (i),(q) over cap (j)] not equal 0 and/or [(p) over cap (i), (p) over cap (j)] not equal 0 (for i not equal j). In such a context, a predictive analysis is carried out for the 2-dim noncommutative quantum harmonic oscillator through a procedure supported by the Weyl-Wigner-Groenewold-Moyal framework. This allows for the understanding of how the phase-space noncommutativity drives the amplitude of periodic oscillations identified as time crystals. A natural extension of our analysis also shows how the spontaneous formation of time quasi-crystals can arise. (c) 2022 The Authors. Published by Elsevier B.V.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 8