Bipartite Discrete Time Crystals on Decorated Lattices

• URL: http://arxiv.org/abs/2411.00651v1
• Date: Fri, 01 Nov 2024 15:13:43 GMT
• Title: Bipartite Discrete Time Crystals on Decorated Lattices
• Authors: Lennart Fernandes, Joseph Tindall, Dries Sels,
• Abstract summary: We study time-crystalline order in periodically driven quantum Ising models on disorder-free decorated lattices. We show through finite entanglement scaling that the system has an exponentially long-lived subharmonic response in the thermodynamic limit. Our results thus uncover a variety of time crystals which may be realized on current digital quantum processors and analog quantum simulators.
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• Abstract: We study time-crystalline order in periodically driven quantum Ising models on disorder-free decorated lattices. Using a tensor network ansatz for the state which reflects the geometry of a unit cell of the lattice, we show through finite entanglement scaling that the system has an exponentially long-lived subharmonic response in the thermodynamic limit. The resulting discrete time crystal is not only stable to imperfections in the transverse field, but also exhibits a bipartite rigidity to generic perturbations in the longitudinal field. We call this state a bipartite discrete time crystal and reveal a rich prethermal phase diagram, including multiple regions of bipartite time-crystalline order, uniform time-crystalline order and thermalization, with boundaries depending delicately on the topology of the decorated lattice. Our results thus uncover a variety of time crystals which may be realized on current digital quantum processors and analog quantum simulators.

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