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DY: Fachverband Dynamik und Statistische Physik
DY 40: Many-body Quantum Dynamics I (joint session DY/TT)
DY 40.4: Talk
Thursday, March 21, 2024, 10:15–10:30, A 151
Edge modes of the random-field Floquet quantum Ising model — •Harald Schmid1, Alexander-Georg Penner1, Kang Yang1, Leonid Glazman2, and Felix von Oppen1 — 1Dahlem Center for Complex Quantum, Freie Universität Berlin, 14195 Berlin, Germany — 2Department of Physics, Yale University, New Haven, Connecticut 06520, USA
Motivated by a recent experiment on a superconducting quantum processor [Mi et al., Science 378, 785 (2022)], we study edge modes in the random-field Floquet quantum Ising model. The edge modes induce pairings in the many-body Floquet spectrum with splittings exponentially close to zero or π. We find that random transverse fields induce a log-normal distribution for both types of splittings. In contrast, random longitudinal fields affect the zero and π splittings in drastically different ways. While zero pairings are rapidly lifted, the π pairings are remarkably robust, or even strengthen, up to vastly larger disorder strengths. We explain our result within a self-consistent Floquet perturbation theory and study implications for boundary spin-spin correlations. The robustness of π pairings against longitudinal disorder may be useful for quantum information processing.