Engineering the Floquet spectrum of superconducting multiterminal quantum dots

Abstract : Here we present a theoretical investigation of the Floquet spectrum in multiterminal quantum dot Josephson junctions biased with commensurate voltages. We first draw an analogy between the electronic band theory and superconductivity which enlightens the time-periodic dynamics of the Andreev bound states. We then show that the equivalent of the Wannier-Stark ladders observed in semiconducting superlattices via photocurrent measurements, appears as specific peaks in the finite frequency current fluctuations of superconducting multiterminal quantum dots. In order to probe the Floquet-Wannier-Stark ladder spectra, we have developed an analytical model relying on the sharpness of the resonances. The charge-charge correlation function is obtained as a factorized form of the Floquet wave-function on the dot and the superconducting reservoir populations. We confirm these findings by Keldysh Green's function calculations, in particular regarding the voltage and frequency dependence of the resonance peaks in the current-current correlations. Our results open up a road-map to quantum correlations and coherence in the Floquet dynamics of superconducting devices.
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https://hal.archives-ouvertes.fr/hal-02362922
Contributor : Régis Mélin <>
Submitted on : Thursday, November 14, 2019 - 10:25:18 AM
Last modification on : Wednesday, November 20, 2019 - 9:32:47 AM

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Régis Mélin, Romain Danneau, Kang Yang, Jean-Guy Caputo, Benoît Douçot. Engineering the Floquet spectrum of superconducting multiterminal quantum dots. Physical Review B : Condensed matter and materials physics, American Physical Society, 2019, 100 (3), pp.035450. ⟨10.1103/PhysRevB.100.035450⟩. ⟨hal-02362922⟩

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