Quantum Fluctuations in the Chirped Pendulum

Abstract

An anharmonic oscillator when driven with a fast, frequency chirped voltage pulse can oscillate with either small or large amplitude depending on whether the drive voltage is below or above a critical value-a well studied classical phenomenon known as autoresonance. Using a 6 GHz superconducting resonator embedded with a Josephson tunnel junction, we have studied for the first time the role of noise in this non-equilibrium system and find that the width of the threshold for capture into autoresonance decreases as the square root of T, and saturates below 150 mK due to zero point motion of the oscillator. This unique scaling results from the non-equilibrium excitation where fluctuations, both quantum and classical, only determine the initial oscillator motion and not its subsequent dynamics. We have investigated this paradigm in an electrical circuit but our findings are applicable to all out of equilibrium nonlinear oscillators.

5 pages, 4 figures

References in corpus (6)

• Single-shot qubit readout in circuit Quantum Electrodynamics
• Single-shot qubit readout in circuit Quantum Electrodynamics
• High-contrast dispersive readout of a superconducting flux qubit using a nonlinear resonator
• RF bifurcation of a Josephson junction: microwave embedding circuit requirements
• Critical exponents in metastable decay via quantum activation
• Phase-locking transition in a chirped superconducting Josephson resonator

Cited by in corpus (18)

• Quantum behavior of a superconducting Duffing oscillator at the dissipative phase transition
• Quantum and Classical Chirps in an Anharmonic Oscillator
• High-harmonic generation in a quantum electron gas trapped in a nonparabolic and anisotropic well
• Quantum versus classical phase-locking transition in a driven-chirped oscillator
• Quantum State Sensitivity of an Autoresonant Superconducting Circuit
• Quantum phenomena in a chirped parametric anharmonic oscillator
• Autoresonant excitation of Bose-Einstein condensates
• Ladder Climbing and Autoresonant Acceleration of Plasma Waves
• Nonlinear dynamics of electron-positron clusters
• Magnus expansion for a chirped quantum two-level system
• Two-photon ladder climbing and transition to autoresonance in a chirped oscillator
• Quantum critical temperature of a modulated oscillator
• Observing Parity Time Symmetry Breaking in a Josephson Parametric Amplifier
• Qubit state detection using the quantum Duffing oscillator
• Geometric view on noneikonal waves
• Autoresonant Removal of Fusion Products in Mirror Machines
• Quantum annealing in capacitively coupled Kerr parametric oscillators using frequency-chirped drives
• Stochastic Representation of the Quantum Quartic Oscillator