Quench spectroscopy of amplitude modes in a one-dimensional critical phase

• URL: http://arxiv.org/abs/2601.20926v1
• Date: Wed, 28 Jan 2026 19:00:00 GMT
• Title: Quench spectroscopy of amplitude modes in a one-dimensional critical phase
• Authors: Hyunsoo Ha, David A. Huse, Rhine Samajdar,
• Abstract summary: An amplitude (Higgs-like) mode emerges in the gapless phase of the $(1+1)$D XXZ spin chain.<n>We demonstrate that this mode manifests as oscillations of U(1)-symmetric observables following a sudden quench.<n>We discuss experimental pathways to detect this mode in easy-plane quantum magnets and programmable quantum simulators.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the emergence of an amplitude (Higgs-like) mode in the gapless phase of the $(1+1)$D XXZ spin chain. Unlike conventional settings where amplitude modes arise from spontaneous symmetry breaking, here, we identify a symmetry-preserving underdamped excitation on top of a Luttinger-liquid ground state. Using nonequilibrium quench spectroscopy, we demonstrate that this mode manifests as oscillations of U(1)-symmetric observables following a sudden quench. By combining numerical simulations with Bethe-ansatz analyses, we trace its microscopic origin to specific families of string excitations. We further discuss experimental pathways to detect this mode in easy-plane quantum magnets and programmable quantum simulators. Our results showcase the utility of quantum quenches as a powerful tool to probe collective excitations, beyond the scope of linear response.

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