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Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising model
- Publication Year :
- 2024
-
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.<br />Comment: 5+7 pages, 3 figures
- Subjects :
- Condensed Matter - Disordered Systems and Neural Networks
Quantum Physics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2401.04809
- Document Type :
- Working Paper