Floquet engineering Higgs dynamics in time-periodic superconductors

Abstract

Higgs modes emerge in superconductors as collective excitations of the order parameter amplitude when periodically driven by electromagnetic radiation. In this work, we develop a Floquet approach to study Higgs modes in superconductors under time-periodic driving, where the dynamics of the order parameter is captured by anomalous Floquet Green's functions. We show that the Floquet description is particularly powerful as it allows one to exploit the time-periodic nature of the driving, thus considerably reducing the complexity of the time-dependent problem. Interestingly, the Floquet approach is also enlightening because it naturally offers a physical explanation for the renormalized steady-state order parameter as a result of photon processes between Floquet sidebands. We demonstrate the usefulness of Floquet engineering Higgs modes in time-periodic $s$-wave superconductors.

12 pages, 4 figures

References in corpus (9)

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Cited by in corpus (9)

• Floquet engineering of topological phase transitions in quantum spin Hall $\alpha$-$T_3$ system
• Controllable odd-frequency Cooper pairs in multi-superconductor Josephson junctions
• Floquet engineering spin triplet states in unconventional magnets
• Emergent pair symmetries in systems with poor man's Majorana modes
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Circuit Quantisation from First Principles
• Signatures of superconducting Higgs mode in irradiated Josephson junctions
• AC Josephson Signatures of the Superconducting Higgs Mode
• Many-body correlations in Floquet steady-states: Frequency-resolved renormalization group of the driven Anderson impurity