Quench Spectroscopy for Two-Dimensional Spin Models with Power-Law Interactions

Abstract:In this paper, we analytically compute the quench dynamics of simple product states that evolve under a spin-1/2 XY-model with power-law interactions in a staggered magnetic field. We use linear spin-wave theory as well as a low-energy theory that accounts for strong phase fluctuations. This allows us to provide an analytic expression for the dynamics of phase-type correlations with short-range interactions, where the linear spin-wave theory is known to fail. For density-type correlations the low-energy theory and the linear spin-wave theory give the same result. Our analysis is valid for arbitrary magnetic field strength and in particular provides an analytical understanding of the quench dynamics near criticality. Our results can thus provide useful tools for the experimental observation of excitation gaps and critical behavior.

arXiv:2608.16631 [quant-ph]

(or arXiv:2608.16631v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.16631 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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