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Main Authors: Kuhn, Tobias, Sothmann, Björn, Cayao, Jorge
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2312.13785
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author Kuhn, Tobias
Sothmann, Björn
Cayao, Jorge
author_facet Kuhn, Tobias
Sothmann, Björn
Cayao, Jorge
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2312_13785
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Floquet engineering Higgs dynamics in time-periodic superconductors
Kuhn, Tobias
Sothmann, Björn
Cayao, Jorge
Superconductivity
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.
title Floquet engineering Higgs dynamics in time-periodic superconductors
topic Superconductivity
url https://arxiv.org/abs/2312.13785