Phase-locking transition in a chirped superconducting Josephson resonator
arXiv:0805.1959 · doi:10.1103/PhysRevLett.101.117005
Abstract
By coupling a harmonic oscillator to a quantum system it is possible to perform a dispersive measurement that is quantum non-demolition (QND), with minimal backaction. A non-linear oscillator has the advantage of measurement gain, but what is the backaction? Experiments on superconducting quantum bits (qubits) coupled to a non-linear Josephson oscillator have thus far utilized the switching of the oscillator near a dynamical bifurcation for sensitivity, and have demonstrated partial QND measurement. The detailed backaction associated with the switching process is complex, and may ultimately limit the degree to which such a measurement can be QND. Here we demonstrate a new dynamical effect in Josephson oscillators by which the bifurcation can be accessed without switching. When energized with a frequency chirped drive with an amplitude close to a sharp, phase-locking threshold, the oscillator evolves smoothly in one of two diverging trajectories - a pointer for the state of a qubit. The observed critical behavior agrees well with theory and suggests a new modality for quantum state measurement.
5 pages, 4 figures
References in corpus (13)
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- AC-Stark Shift and Dephasing of a Superconducting Qubit Strongly Coupled to a Cavity Field
- An RF-Driven Josephson Bifurcation Amplifier for Quantum Measurements
- Quantum non-demolition measurement of a superconducting two-level system
- Dispersive measurements of superconducting qubit coherence with a fast, latching readout
- Continuous Monitoring of Rabi Oscillations in a Josephson Flux Qubit
- High-contrast dispersive readout of a superconducting flux qubit using a nonlinear resonator
- Nondestructive readout for a superconducting flux qubit
- RF bifurcation of a Josephson junction: microwave embedding circuit requirements
- Non-linear dispersive regime of cavity QED: The dressed dephasing model
- Measuring the Decoherence of a Quantronium Qubit with the Cavity Bifurcation Amplifier
- Dispersive microwave bifurcation of a superconducting resonator cavity incorporating a Josephson junction
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