Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising
model
- URL: http://arxiv.org/abs/2401.04809v1
- Date: Tue, 9 Jan 2024 20:37:48 GMT
- Title: Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising
model
- Authors: Harald Schmid, Alexander-Georg Penner, Kang Yang, Leonid Glazman,
Felix von Oppen
- Abstract summary: We study level pairings in the many-body spectrum of the random-field Floquet quantum Ising model.
The robustness of $pi$ pairings against longitudinal disorder may be useful for quantum information processing.
- Score: 44.84660857803376
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Motivated by an experiment on a superconducting quantum processor [Mi et al.,
Science 378, 785 (2022)], we study level pairings in the many-body spectrum of
the random-field Floquet quantum Ising model. The pairings derive from Majorana
zero and $\pi$ modes when writing the spin model in Jordan-Wigner fermions.
Both splittings have lognormal distributions with random transverse fields. In
contrast, random longitudinal fields affect the zero and $\pi$ splittings in
drastically different ways. While zero pairings are rapidly lifted, the $\pi$
pairings are remarkably robust, or even strengthened, up to vastly larger
disorder strengths. We explain our results within a self-consistent Floquet
perturbation theory and study implications for boundary spin correlations. The
robustness of $\pi$ pairings against longitudinal disorder may be useful for
quantum information processing.
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