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

• URL: http://arxiv.org/abs/2511.10891v1
• Date: Fri, 14 Nov 2025 02:04:09 GMT
• Title: Parametric resonance in a spin-1/2 chain: dynamical effects of nontrivial topology
• Authors: Mahmoud T. Elewa, M. I. Dykman,
• Abstract summary: For a spin-1/2 chain in a strong magnetic field, the resulting excitations can be mapped on fermionic excitations in the Kitaev chain.<n>We show that the response to the modulation turn-on allows one to reveal dynamical aspects of the nontrivial topology of the periodic chain.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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 the modulation turn-on allows one to reveal dynamical aspects of the nontrivial topology of the periodic chain. In the topological regime, depending on how fast the turn-on is, the system displays the absence of spatial magnetization correlations or their increase with the increasing detuning of the modulation from resonance. The transition between the topological and trivial regimes is controlled by the modulation frequency.

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