| Texto completo | |
| Autor(es): |
Bernardini, A. E.
;
Bertolami, O.
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Physics Letters B; v. 835, p. 8-pg., 2022-12-10. |
| Resumo | |
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) | |
| Processo FAPESP: | 20/01976-5 - Formalismo de Weyl-Wigner no espaço de fases para o cálculo das distorções quânticas em sistemas Hamiltonianos cíclicos não-lineares e extensões ao Sistema Terrestre |
| Beneficiário: | Alex Eduardo de Bernardini |
| Modalidade de apoio: | Bolsas no Exterior - Pesquisa |