Work

Fractal nature of high-order time crystal phases

Year: 2023

Type: article

Abstract: In Floquet time crystals, characterized by the spontaneous breaking of time-translational invariance, observables exhibit oscillations with a period multiple $p>2$ of the driving. Here, a new, experimentally accessible, order parameter is introduced, able to detect time-crystalline phases regardless of the value of $p$. This unveils a rich landscape with self-similar fractal boundaries in the phase diagram of the long-range kicked Ising model. These features are explained within the theoretical framework, along with the emergence of the ${Z}_{p}$ symmetry in Bloch eigenstates.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.108.l140102

Authors: Guido Giachetti, Andrea Solfanelli, Lorenzo Correale, Nicolò Defenu

Institutions: Scuola Internazionale Superiore di Studi Avanzati, Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, ETH Zurich, Institute for Theoretical Physics

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Deutsche Forschungsgemeinschaft, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Award: Out-of-equilibrium criticality of long-range interacting quantum systems