Breakdown of adiabaticity in topological quantum liquids

Fuente: arXiv
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Autores principales: Ciaramelletti, Carola, Arrufat-Vicente, Daniel, Paganelli, Simone, Defenu, Nicolo
Formato: Preprint
Publicado: 2025
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author Ciaramelletti, Carola
Arrufat-Vicente, Daniel
Paganelli, Simone
Defenu, Nicolo
author_facet Ciaramelletti, Carola
Arrufat-Vicente, Daniel
Paganelli, Simone
Defenu, Nicolo
contents We study the temporal behavior of topological quantum fluids with strong long-range couplings under slow external perturbations, whose rate $δ$ approaches the quasi-static limit $δ\to 0$. As expected, due to strong long-range interactions, the system lies in the mean-field universality and the density of defects for drives across the quantum critical point is adiabatic $n_{\rm exc}\propto δ^{2}$. However, if the drive is instead terminated precisely at the edge of the topological non-trivial phase, the number of generated excitations becomes extensive $n_{\rm exc}\propto O(1)$. This result fundamentally breaks the established universal behavior observed in local topological quantum fluids and demonstrates a novel mechanism for the breakdown of adiabaticity in fermionic systems with strong long-range interactions.
format Preprint
id arxiv_https___arxiv_org_abs_2511_16818
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Breakdown of adiabaticity in topological quantum liquids
Ciaramelletti, Carola
Arrufat-Vicente, Daniel
Paganelli, Simone
Defenu, Nicolo
Strongly Correlated Electrons
We study the temporal behavior of topological quantum fluids with strong long-range couplings under slow external perturbations, whose rate $δ$ approaches the quasi-static limit $δ\to 0$. As expected, due to strong long-range interactions, the system lies in the mean-field universality and the density of defects for drives across the quantum critical point is adiabatic $n_{\rm exc}\propto δ^{2}$. However, if the drive is instead terminated precisely at the edge of the topological non-trivial phase, the number of generated excitations becomes extensive $n_{\rm exc}\propto O(1)$. This result fundamentally breaks the established universal behavior observed in local topological quantum fluids and demonstrates a novel mechanism for the breakdown of adiabaticity in fermionic systems with strong long-range interactions.
title Breakdown of adiabaticity in topological quantum liquids
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2511.16818