Band Engineering in Cooper-Pair Box: Dispersive Measurements of Charge and Phase

TL;DR

This paper explores the low-frequency susceptibility of the split Cooper-pair box (SCPB) for sensitive charge and phase measurements, demonstrating a novel RF electrometer and methods for fast phase fluctuation detection.

Contribution

It introduces a dual-mode approach to the SCPB, utilizing its inductive and capacitive properties for enhanced charge and phase sensing capabilities.

Findings

Achieved phase fluctuation sensitivity of 1 mrad/√Hz.

Demonstrated SCPB as a tunable inductance and capacitance for measurement.

Developed a novel RF electrometer based on the inductive mode.

Abstract

Low-frequency susceptibility of the split Cooper-pair box (SCPB) is investigated for use in sensitive measurements of external phase or charge. Depending on the coupling scheme, the box appears as either inductive or capacitive reactance which depends on external phase and charge. While coupling to the source-drain phase, we review how the SCPB looks like a tunable inductance, which property we used to build a novel radio-frequency electrometer. In the dual mode of operation, that is, while observed at the gate input, the SCPB looks like a capacitance. We concentrate on discussing the latter scheme, and we show how to do studies of fast phase fluctuations at a sensitivity of 1 mrad/$\sqrt{Hz}$ by measuring the input capacitance of the box.