HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

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

L Bretheau 1 C Girit 1 M Houzet 2 H Pothier 1 D Esteve 1 C Urbina 1
1 QUANTRONICS - Quantronics Group
SPEC - UMR3680 - Service de physique de l'état condensé, IRAMIS - Institut Rayonnement Matière de Saclay
2 GT - Laboratory of Quantum Theory
PHELIQS - PHotonique, ELectronique et Ingénierie QuantiqueS : DRF/IRIG/PHELIQS
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.
Document type :
Journal articles
Complete list of metadata

Cited literature [21 references]  Display  Hide  Download

Contributor : Dominique Girard Connect in order to contact the contributor
Submitted on : Thursday, October 20, 2016 - 2:37:45 PM
Last modification on : Monday, December 13, 2021 - 9:14:37 AM


Files produced by the author(s)




L Bretheau, C 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), American Physical Society, 2014, 90 (13), pp.134506. ⟨10.1103/PhysRevB.90.134506⟩. ⟨cea-01384746⟩



Record views


Files downloads