Fractal nature of high-order time crystal phases
Year: 2023
Authors: Giachetti G., Solfanelli A., Correale L., Defenu N.
Autors Affiliation: SISSA, Via Bonomea 265, I-34136 Trieste, Italy; INFN, Sez Trieste, I-34151 Trieste, Italy; Swiss Fed Inst Technol, Inst Theoret Phys, Wolfgang Pauli Str 27, CH-8093 Zurich, Switzerland.
Abstract: Discrete Floquet time crystals (DFTCs) are characterized by the spontaneous breaking of the discrete time-translational invariance characteristic of Floquet-driven systems. In analogy with equilibrium critical points, also time-crystalline phases display critical behavior of different order, i.e., oscillations whose period is a multiple p > 2 of the Floquet driving period. Here, we introduce an experimentally accessible order parameter which is able to unambiguously detect crystalline phases regardless of the value of p and, at the same time, is a useful tool for chaos diagnostic. This p aradigm allows us to investigate the phase diagram of the long-range (LR) kicked Ising model to an unprecedented depth, unveiling a rich landscape characterized by self-similar fractal boundaries. Our theoretical picture describes the emergence of DFTCs phase both as a function of the strength and period of the Floquet drive, capturing the emergent Z(p) symmetry in the Floquet-Bloch waves.
Journal/Review: PHYSICAL REVIEW B
Volume: 108 (14) Pages from: L140102-1 to: L140102-7
More Information: Acknowledgements. This research was funded in part by the Swiss National Science Foundation (SNSF) [200021_207537]. This work is supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany´s Excellence Strategy EXC2181/1-390900948 (the Heidelberg STRUCTURES Excellence Cluster).KeyWords: Quantum; Thermalization; DynamicsDOI: 10.1103/PhysRevB.108.L140102Citations: 3data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-10-20References taken from IsiWeb of Knowledge: (subscribers only)