Anomalous parametric resonance in a spin-1/2 chain: dynamical effects of nontrivial topology

Fuente: arXiv
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Autores principales: Elewa, Mahmoud T., Dykman, M. I.
Formato: Preprint
Publicado: 2025
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author Elewa, Mahmoud T.
Dykman, M. I.
author_facet Elewa, Mahmoud T.
Dykman, M. I.
contents Resonant parametric modulation is a major tool of studying magnetic systems. For a spin-1/2 chain in a strong magnetic field, the resulting excitations can be mapped on fermionic excitations in the Kitaev chain. We show that the response to turning on the modulation reveals dynamical bulk aspects of the nontrivial topology of the closed chain. In the topological regime, depending on the turn-on rate, the system displays an absence of frequency dispersion of the time-averaged magnetization and an absence or a suppression of its spatial correlations near resonance. The transition between the topological and trivial regimes is controlled by the modulation frequency.
format Preprint
id arxiv_https___arxiv_org_abs_2511_10891
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Anomalous parametric resonance in a spin-1/2 chain: dynamical effects of nontrivial topology
Elewa, Mahmoud T.
Dykman, M. I.
Mesoscale and Nanoscale Physics
Quantum Physics
Resonant parametric modulation is a major tool of studying magnetic systems. For a spin-1/2 chain in a strong magnetic field, the resulting excitations can be mapped on fermionic excitations in the Kitaev chain. We show that the response to turning on the modulation reveals dynamical bulk aspects of the nontrivial topology of the closed chain. In the topological regime, depending on the turn-on rate, the system displays an absence of frequency dispersion of the time-averaged magnetization and an absence or a suppression of its spatial correlations near resonance. The transition between the topological and trivial regimes is controlled by the modulation frequency.
title Anomalous parametric resonance in a spin-1/2 chain: dynamical effects of nontrivial topology
topic Mesoscale and Nanoscale Physics
Quantum Physics
url https://arxiv.org/abs/2511.10891