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Journal Articles Physical Review B: Condensed Matter and Materials Physics (1998-2015) Year : 2014

Theory of microwave spectroscopy of Andreev bound states with a Josephson junction

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L Bretheau
  • Function : Author
C Ö Girit
M Houzet
H Pothier
  • Function : Author
D Esteve
  • Function : Author
C Urbina
  • Function : Author

Abstract

We present a microscopic theory for the current through a tunnel Josephson junction coupled to a non-linear environment, which consists of an Andreev two-level system coupled to a harmonic oscillator. It models a recent experiment [Bretheau, Girit, Pothier, Esteve, and Urbina, Nature 499, 312 (2013)] on photon spectroscopy of Andreev bound states in a superconducting atomic-size contact. We find the eigenenergies and eigenstates of the environment and derive the current through the junction due to inelastic Cooper pair tunneling. The current-voltage characteristic reveals the transitions between the Andreev bound states, the excitation of the harmonic mode that hybridizes with the Andreev bound states, as well as multi-photon processes. The calculated spectra are in fair agreement with the experimental data.
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Dates and versions

cea-01384746 , version 1 (20-10-2016)

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L Bretheau, C Ö Girit, M Houzet, H Pothier, D Esteve, et al.. Theory of microwave spectroscopy of Andreev bound states with a Josephson junction. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2014, 90 (13), pp.134506. ⟨10.1103/PhysRevB.90.134506⟩. ⟨cea-01384746⟩
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