Quantum trajectories of dissipative time-crystals
- URL: http://arxiv.org/abs/2212.06460v1
- Date: Tue, 13 Dec 2022 10:20:00 GMT
- Title: Quantum trajectories of dissipative time-crystals
- Authors: Albert Cabot, Leah Sophie Muhle, Federico Carollo, Igor Lesanovsky
- Abstract summary: We show that the photon count signal as well as the homodyne current allow to identify and characterize critical behavior at the time-crystal phase transition.
The average time between these fluctuation events shows a power-law scaling with system size.
We furthermore show that the time-integrated homodyne current can serve as a useful dynamical order parameter.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Recent experiments with dense laser-driven atomic gases [G. Ferioli et al.,
arXiv:2207.10361 (2022)] have realized a many-body system which in the
thermodynamic limit yields a so-called boundary time-crystal. This state of
matter is stabilized by the competition between coherent driving and collective
dissipation. The aforementioned experiment in principle allows to gain in situ
information on the nonequilibrium dynamics of the system by observing the state
of the output light field. We show that the photon count signal as well as the
homodyne current allow to identify and characterize critical behavior at the
time-crystal phase transition. At the transition point the dynamics of the
emission signals feature slow drifts, which are interspersed with sudden strong
fluctuations. The average time between these fluctuation events shows a
power-law scaling with system size, and the origin of this peculiar dynamics
can be explained through a simple non-linear phase model. We furthermore show
that the time-integrated homodyne current can serve as a useful dynamical order
parameter. From this perspective the time-crystal can be viewed as a state of
matter in which different oscillation patterns coexist.
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