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• W4308542543 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 (qˆi) and/or momentum (pˆi) noncommutativity, i.e., from [qˆi,qˆj]≠0 and/or [pˆi,pˆj]≠0 (for i≠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." @default.
• W4308542543 created "2022-11-12" @default.
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• W4308542543 date "2022-12-01" @default.
• W4308542543 modified "2023-09-29" @default.
• W4308542543 title "Emergent time crystals from phase-space noncommutative quantum mechanics" @default.
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• W4308542543 doi "https://doi.org/10.1016/j.physletb.2022.137549" @default.
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