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Higgs gap modes in superconducting circuit quantisation

arXiv
Authors: Yun-Chih Liao, Ben J. Powell, Thomas M. Stace

Year

2026

Paper ID

28658

Status

Preprint

Abstract Read

~2 min

Abstract Words

84

Citations

N/A

Abstract

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.

Why This Paper Matters

  • This paper contributes to the Superconducting Qubits research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • We extend a recently developed projective circuit quantisation approach to incorporate superconducting Higgs modes associated to gap dynamics.

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