Clean two-dimensional Floquet time-crystal
- URL: http://arxiv.org/abs/2205.04865v2
- Date: Tue, 27 Sep 2022 07:56:41 GMT
- Title: Clean two-dimensional Floquet time-crystal
- Authors: Alessandro Santini, Giuseppe E. Santoro, Mario Collura
- Abstract summary: We consider the two-dimensional quantum Ising model, in absence of disorder, subject to periodic imperfect global spin flips.
We show by a combination of exact diagonalization and tensor-network methods that the system can sustain a spontaneously broken discrete time-translation symmetry.
We observe a non-perturbative change in the decay rate of the order parameter, which is related to the long-lived stability of the magnetic domains in 2D.
- Score: 68.8204255655161
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We consider the two-dimensional quantum Ising model, in absence of disorder,
subject to periodic imperfect global spin flips. We show by a combination of
exact diagonalization and tensor-network methods that the system can sustain a
spontaneously broken discrete time-translation symmetry. Employing careful
scaling analysis, we show the feasibility of a two-dimensional discrete
time-crystal (DTC) pre-thermal phase. Despite an unbounded energy pumped into
the system, in the high-frequency limit, a well-defined effective Hamiltonian
controls a finite-temperature intermediate regime, wherein local time averages
are described by thermal averages. As a consequence, the long-lived stability
of the DTC relies on the existence of a long-range ordeblack phase at finite
temperature. Interestingly, even for large deviations from the perfect spin
flip, we observe a non-perturbative change in the decay rate of the order
parameter, which is related to the long-lived stability of the magnetic domains
in 2D.
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