Echoes in a Single Quantum Kerr-nonlinear Oscillator

TL;DR

This paper theoretically investigates echo phenomena in a single quantum Kerr-nonlinear oscillator, revealing quantum and classical echoes on different time scales, with implications for understanding decoherence in quantum information systems.

Contribution

It introduces the concept of quantum and classical echoes in a Kerr oscillator and analyzes their mechanisms and sensitivity to dissipation.

Findings

Identification of quantum and classical echoes in Kerr oscillators

Analysis of echo mechanisms and their time-scale differences

Discussion on the effects of dissipation on echo phenomena

Abstract

Quantum Kerr-nonlinear oscillator is a paradigmatic model in cavity and circuit quantum electrodynamics, and quantum optomechanics. We theoretically study the echo phenomenon in a single impulsively excited ("kicked") Kerr-nonlinear oscillator. We reveal two types of echoes, "quantum" and "classical" ones, emerging on the long and short time-scales, respectively. The mechanisms of the echoes are discussed, and their sensitivity to dissipation is considered. These echoes may be useful for studying decoherence processes in a number of systems related to quantum information processing.