Dresden 2026 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 32: Many-body Systems: Equilibration, Chaos, and Localization (joint session DY/TT)
DY 32.2: Talk
Wednesday, March 11, 2026, 09:45–10:00, HÜL/S186
Spectral pairing statistics in Floquet time crystals — Alexander-Georg Penner1, •Harald Schmid1,2,3, Leonid I. Glazman4, and Felix von Oppen1 — 1Dahlem Center for Complex Quantum and Fachbereich Physik, Freie Universität Berlin, 14195 Berlin, Germany — 2Technical University of Munich, TUM School of Natural Sciences, Physics Department, 85748 Garching, Germany — 3Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 München, Germany — 4Department of Physics, Yale University, New Haven, Connecticut 06520, USA
Floquet time crystals are characterized by the subharmonic behavior of temporal correlation functions. Studying the paradigmatic time crystal based on the disordered Floquet quantum Ising model, we show that its temporal spin correlations are directly related to spectral characteristics and that this relation provides analytical expressions for the correlation function of finite chains, which compare favorably with numerical simulations. Specifically, we show that the disorder-averaged temporal spin correlations are proportional to the Fourier transform of the splitting distribution of the pairs of eigenvalues of the Floquet operator, which differ by pi to exponential accuracy in the chain length. We find that the splittings are well described by a log-normal distribution, implying that the temporal spin correlations are characterized by two parameters. We discuss possible implications for the phase diagram of Floquet time crystals.
Keywords: Floquet systems; Time crystals; Transverse-field Ising model; Spectral statistics; Subharmonic response