Echoes in a parametrically perturbed Kerr-nonlinear oscillator

Abstract

We study classical and quantum echoes in a Kerr oscillator driven by a frequency-controlling pulsed perturbation. We consider dynamical response to the perturbation for a single coherent state and for Schrödinger cat states constructed as both balanced and imbalanced superpositions of two coherent states. For individual coherent states, we demonstrate that a weak parametric drive yields a long-lived sequence of classical echoes. Cat states are found to exhibit distinct quantum echoes that are sensitive to the initial relative phase and weights of the coherent states in superposition. We examine the effect of dissipation on quantum echoes and quantum revivals of cat states. We demonstrate that, even when dissipation suppresses quantum revivals, quantum echoes can be recovered by properly tuning the timing and strength of the perturbation. These results may be useful for characterizing and mitigating errors of cat qubits.

Main text 4 pages with 4 figures. Remaining pages are bibliography and appendix. 12 pages in total

References in corpus (12)

• Building a fault-tolerant quantum computer using concatenated cat codes
• Employing trapped cold ions to verify the quantum Jarzynski equality
• Beam by design: laser manipulation of electrons in modern accelerators
• Dynamical decoupling for superconducting qubits: a performance survey
• Bayesian machine learning for quantum molecular dynamics
• Scalable creation of long-lived multipartite entanglement
• A critical Schrödinger cat qubit
• Kerr enhanced backaction cooling in magnetomechanics
• Echoes and revival echoes in systems of anharmonically confined atoms
• Characterization of entanglement on superconducting quantum computers of up to 414 qubits
• Kerr enhanced optomechanical cooling in the unresolved sideband regime
• Echoes in a Single Quantum Kerr-nonlinear Oscillator