Abstract
We study an emergent semiclassical time crystal composed of two interacting driven-dissipative bosonic modes. The system has a discrete spatial symmetry which, depending on the strength of the drive, can be broken in the time-crystalline phase or it cannot. An exact semiclassical mean-field analysis, numerical simulations in the quantum regime, and the spectral analysis of the Liouvillian are combined to show the emergence of the time crystal and to prove the robustness of the oscillation period against quantum fluctuations.
Highlights
The advances in preparing and manipulating quantum matter in the laboratory during the past decades has led to a growing interest in out-of-equilibrium quantum phases [1,2,3,4,5,6,7,8,9,10]
Most of the dissipative time crystals with continuous time-translation symmetry studied so far rely on long-range interactions [22, 24, 26, 30, 34,35,36, 38], which occur naturally in systems with dipolar interactions or can be engineered, for instance, by coupling matter to a common resonant mode of a lossy cavity
By analysing how our quantum system scales towards this limit, we show the emergence of these time-ordered phases (i) proving that the period of the oscillations is robust against quantum fluctuations as well as (ii) providing insight on the feasibility of observing long-lived oscillations in an experimental realization in which the system might be far from the ‘thermodynamic limit’
Summary
Keywords: dissipative time crystal, symmetry breaking, effective decoupling, nonlocal dissipation, light–matter interactions Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
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