| Full text | |
| Author(s): |
Bernardini, A. E.
;
Bertolami, O.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Physics Letters B; v. 835, p. 8-pg., 2022-12-10. |
| Abstract | |
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. (AU) | |
| FAPESP's process: | 20/01976-5 - Phase-space Weyl-Wigner's formalism for the calculation of quantum distortions in non-linear cyclic Hamiltonian systems and extensions to the Earth System |
| Grantee: | Alex Eduardo de Bernardini |
| Support Opportunities: | Scholarships abroad - Research |