Phase diagram and optimal control for n-tupling discrete time crystal
- URL: http://arxiv.org/abs/2004.14982v2
- Date: Thu, 30 Jul 2020 06:26:39 GMT
- Title: Phase diagram and optimal control for n-tupling discrete time crystal
- Authors: Arkadiusz Kuro\'s, Rick Mukherjee, Weronika Golletz, Frederic Sauvage,
Krzysztof Giergiel, Florian Mintert and Krzysztof Sacha
- Abstract summary: In periodically driven systems, discrete time crystals (DTC) can be realized which have a periodicity that is n times the driving period.
In this work, we demonstrate that such DTC is robust against perturbations to the initial distribution of atoms.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: A remarkable consequence of spontaneously breaking the time translational
symmetry in a system, is the emergence of time crystals. In periodically driven
systems, discrete time crystals (DTC) can be realized which have a periodicity
that is n times the driving period. However, all of the experimental
observations have been performed for period-doubling and period-tripling
discrete time crystals. Novel physics can arise by simulating many-body physics
in the time domain, which would require a genuine realisation of the n-tupling
DTC. A system of ultra-cold bosonic atoms bouncing resonantly on an oscillating
mirror is one of the models that can realise large period DTC. The preparation
of DTC demands control in creating the initial distribution of the ultra-cold
bosonic atoms along with the mirror frequency. In this work, we demonstrate
that such DTC is robust against perturbations to the initial distribution of
atoms. We show how Bayesian methods can be used to enhance control in the
preparation of the initial state as well as to efficiently calculate the phase
diagram for such a model. Moreover, we examine the stability of DTCs by
analyzing quantum many-body fluctuations and show that they do not reveal
signatures of heating.
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