Clean two-dimensional Floquet time-crystal

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.

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• Localization of interacting fermions at high temperature
• Phenomenology of fully many-body-localized systems
• Absence of Quantum Time Crystals
• Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
• Prethermal time crystals in a one-dimensional periodically driven Floquet system
• Classical approaches to prethermal discrete time crystals in one, two, and three dimensions
• Floquet time crystals in driven spin systems with all-to-all $p$-body interactions

Cited by in corpus (5)

• Hybrid Stabilizer Matrix Product Operator
• Interface dynamics in the two-dimensional quantum Ising model
• Unveiling clean two-dimensional discrete time crystals on a digital quantum computer
• Observation of partial and infinite-temperature thermalization induced by repeated measurements on a quantum hardware
• Nonperturbative decay of bipartite discrete time crystals