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.

arXiv comment12 pages, 4 figures

References in corpus (32)

• Nonequilibrium dynamical mean-field theory and its applications
• The European Quantum Technologies Roadmap
• Floquet-Bloch theory and topology in periodically driven lattices
• Higgs Amplitude Mode in BCS Superconductors Nb${}_{1-x}$Ti${}_x$N induced by Terahertz Pulse Excitation
• Amplitude / Higgs Modes in Condensed Matter Physics
• Solitons and Rabi Oscillations in a Time-Dependent BCS Pairing Problem
• Higgs Mode in Superconductors
• Visibility of the Amplitude (Higgs) Mode in Condensed Matter
• Theory of Anderson pseudospin resonance with Higgs mode in superconductors
• Amplitude `Higgs' mode in 2H-NbSe2 Superconductor
• The Higgs Mode in Disordered Superconductors Close to a Quantum Phase Transition
• Dynamical vanishing of the order parameter in a fermionic condensate
• Non-linear optical effects and third-harmonic generation in superconductors: Cooper-pairs vs Higgs mode contribution
• Phase-resolved Higgs response in superconducting cuprates
• Nonequilibrium Cooper pairing in the nonadiabatic regime
• Direct observation of Higgs mode oscillations in the pump-probe photoemission spectra of electron-phonon mediated superconductors
• Nonequilibrium dynamics of weakly and strongly paired superconductors
• Classification and characterization of nonequilibrium Higgs modes in unconventional superconductors
• Odd-frequency superconducting pairing in one-dimensional systems
• Nature and Raman signatures of the Higgs amplitude mode in the coexisting superconducting and charge-density-wave state
• A perspective on semiconductor-based superconducting qubits
• Signatures of nonadiabatic BCS state dynamics in pump-probe conductivity
• Higgs-mode radiance and charge-density-wave order in 2H-NbSe${}_2$
• Light Quantum Control of Persisting Higgs Modes in Iron-Based Superconductors
• Higgs bosons in particle physics and in condensed matter
• Twisting Anderson pseudospins with light: Quench dynamics in THz-pumped BCS superconductors
• Theory of driven Higgs oscillations and third-harmonic generation in unconventional superconductors
• Resonant generation of coherent phonons in a superconductor by ultrafast optical pump pulses
• Floquet engineering bulk odd-frequency superconducting pairs
• Spectral fingerprints of the non-linear dynamics of driven superconductors with dissipation
• Engineering Higgs dynamics by spectral singularities
• Higgs modes in proximized superconducting systems

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