Higgs gap modes in superconducting circuit quantisation

Fuente: arXiv
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Auteurs principaux: Liao, Yun-Chih, Powell, Ben J., Stace, Thomas M.
Format: Preprint
Publié: 2026
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author Liao, Yun-Chih
Powell, Ben J.
Stace, Thomas M.
author_facet Liao, Yun-Chih
Powell, Ben J.
Stace, Thomas M.
contents We extend a recently developed projective circuit quantisation approach to incorporate superconducting Higgs modes associated to gap dynamics. This approach starts from a microscopic fermionic Hamiltonian for mesoscopic superconductors, and projects the system onto its low-energy "BCS" Hilbert space. We derive analytical results for the superconducting Higgs mass, "spring" constant, and oscillation frequency of the gap dynamics, which we validate numerically. We compute anharmonic corrections to the Higgs frequency for higher excitations of small superconducting islands, and compare our results to previous long-wavelength calculations.
format Preprint
id arxiv_https___arxiv_org_abs_2603_07035
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Higgs gap modes in superconducting circuit quantisation
Liao, Yun-Chih
Powell, Ben J.
Stace, Thomas M.
Superconductivity
Quantum Physics
We extend a recently developed projective circuit quantisation approach to incorporate superconducting Higgs modes associated to gap dynamics. This approach starts from a microscopic fermionic Hamiltonian for mesoscopic superconductors, and projects the system onto its low-energy "BCS" Hilbert space. We derive analytical results for the superconducting Higgs mass, "spring" constant, and oscillation frequency of the gap dynamics, which we validate numerically. We compute anharmonic corrections to the Higgs frequency for higher excitations of small superconducting islands, and compare our results to previous long-wavelength calculations.
title Higgs gap modes in superconducting circuit quantisation
topic Superconductivity
Quantum Physics
url https://arxiv.org/abs/2603.07035