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PreprintCC BY 4.0arXiv

Floquet-Multiple Andreev Reflections

  • Régis Mélin
  • Romain Danneau
  • Morteza Kayyalha
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Abstract

Floquet theory describes quantum systems governed by time-periodic Hamiltonians, much as Bloch theory describes spatially periodic solids. In voltage-biased multiterminal Josephson junctions, the Josephson relation causes superconducting phase differences to evolve periodically in time, thereby providing an intrinsic Floquet drive. In this Letter, we consider three-terminal Josephson junctions formed on a ballistic two-dimensional normal conductor with a continuum of electronic states. We show that the quartet and higher-order multipair processes yield characteristic Floquet-multiple Andreev reflection (Floquet-MAR) finite-bias conductance and noise resonances that are parameterized by the bias voltage and electrochemical potential. This microscopic picture opens a route toward implementing and probing Floquet-MAR physics in ballistic multiterminal Josephson junctions.

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Cite

BibTeXRIS
BibTeX
@misc{melin2026floquetmultiple,
  title = {{Floquet-Multiple Andreev Reflections}},
  author = {Régis Mélin and Romain Danneau and Morteza Kayyalha},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2605.02642},
  eprint = {2605.02642},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.02642},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Floquet-Multiple Andreev Reflections
AU  - Régis Mélin
AU  - Romain Danneau
AU  - Morteza Kayyalha
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2605.02642
UR  - https://arxiv.org/abs/2605.02642
AB  - Floquet theory describes quantum systems governed by time-periodic Hamiltonians, much as Bloch theory describes spatially periodic solids. In voltage-biased multiterminal Josephson junctions, the Josephson relation causes superconducting phase differences to evolve periodically in time, thereby providing an intrinsic Floquet drive. In this Letter, we consider three-terminal Josephson junctions formed on a ballistic two-dimensional normal conductor with a continuum of electronic states. We show that the quartet and higher-order multipair processes yield characteristic Floquet-multiple Andreev reflection (Floquet-MAR) finite-bias conductance and noise resonances that are parameterized by the bias voltage and electrochemical potential. This microscopic picture opens a route toward implementing and probing Floquet-MAR physics in ballistic multiterminal Josephson junctions.
ER  -