Nonperturbative decay of bipartite discrete time crystals
Nov 1, 20248 pages
Published in:
- Phys.Rev.B 111 (2025) 10, L100304
- Published: Mar 1, 2025
e-Print:
- 2411.00651 [quant-ph]
DOI:
- 10.1103/PhysRevB.111.L100304 (publication)
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Abstract: (APS)
We study prethermal 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, which decays nonperturbatively in deviations from a perfect periodic drive. The resulting prethermal 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.Note:
- Accepted version, 10 pages including Supplemental Material
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