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Bibliographic Details
Main Author: Navarrete-Benlloch, Carlos
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2412.03585
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Table of Contents:
  • I argue that a single driven quantum Van der Pol oscillator should not be considered a dissipative time crystal, contrary to previous claims. In particular, I show that its phase is prone to randomly drift when considering dephasing or additional nonlinearities, and hence its oscillations are not robust in that sense. The arguments I provide are applicable to many other models studied in the literature for which the limit of persistent oscillations coincides with the classical limit. I hope that this comment will spark a discussion about what should or should not be considered a time crystal (at least in the context of open quantum systems) and clarify it to a point.