Current-Phase Relation and Josephson Inductance of Superconducting Cooper Pair Transistor

Abstract

We have investigated the Josephson inductance $L_J$ of a Superconducting Cooper Pair Transistor (SCPT). We traced the inductance using microwave reflection measurements on a tuned resonance circuit in which a SCPT was mounted in parallel to a $\sim 200$ pH strip line inductance. When the inverse of the Josephson inductance, determined on the charge-phase bias plane for a SCPT with a Josephson to Coulomb energy ratio of $E_J/E_C=1.75$, is integrated over the phase, we obtain a current-phase relation, which is strongly non-sinusoidal near the charge degeneracy point.

5 pages, 7 figures, submitted to Phys. Rev. B

References in corpus (11)

• Landau-Zener interferometry with superconducting qubits
• Measurement of the current-phase relation of superconducting atomic contacts
• Observation of quantum capacitance in the Cooper-pair transistor
• Direct Observation of Josephson Capacitance
• Time-domain measurements of quasiparticle tunneling rates in a single-Cooper-pair transistor
• Reading-out the state inductively and microwave spectroscopy of an interferometer-type charge qubit
• Gate-controlled superconductivity in diffusive multiwalled carbon nanotube
• Impedance measurement technique for quantum systems
• Vibronic spectroscopy of an artificial molecule
• Ground-state characterization of Nb charge-phase Josephson qubits
• Quasi-particle transitions in charge-phase qubits probed by rf oscillations

Cited by in corpus (9)

• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Topological quantum buses: coherent quantum information transfer between topological and conventional qubits
• From adiabatic to dispersive readout of quantum circuits
• Phase-dependent microwave response of a graphene Josephson junction
• Flip-chip-based microwave spectroscopy of Andreev bound states in a planar Josephson junction
• Microwave Spectroscopy of a Cooper-Pair Transistor Coupled to a Lumped-Element Resonator
• Driving a Josephson Traveling Wave Parametric Amplifier into chaos: effects of a non-sinusoidal current-phase relation
• Approaching the ultrastrong coupling regime between an Andreev level and a microwave resonator
• Microwave susceptibility observation of interacting many-body Andreev states