Robust spectral $π$ pairing in the random-field Floquet quantum Ising model
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866908786864685056 |
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| author | Schmid, Harald Penner, Alexander-Georg Yang, Kang Glazman, Leonid von Oppen, Felix |
| author_facet | Schmid, Harald Penner, Alexander-Georg Yang, Kang Glazman, Leonid von Oppen, Felix |
| contents | 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 $π$ 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 $π$ splittings in drastically different ways. While zero pairings are rapidly lifted, the $π$ 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 $π$ pairings against longitudinal disorder may be useful for quantum information processing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04809 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Robust spectral $π$ pairing in the random-field Floquet quantum Ising model Schmid, Harald Penner, Alexander-Georg Yang, Kang Glazman, Leonid von Oppen, Felix Disordered Systems and Neural Networks Quantum Physics 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 $π$ 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 $π$ splittings in drastically different ways. While zero pairings are rapidly lifted, the $π$ 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 $π$ pairings against longitudinal disorder may be useful for quantum information processing. |
| title | Robust spectral $π$ pairing in the random-field Floquet quantum Ising model |
| topic | Disordered Systems and Neural Networks Quantum Physics |
| url | https://arxiv.org/abs/2401.04809 |