Phase-locking at low-level of quanta

TL;DR

This paper investigates phase-locking phenomena in a quantum Kerr resonator driven by external pulses, analyzing the formation of phase-locked states and their behavior in both regular and chaotic regimes using Wigner functions.

Contribution

It introduces a detailed analysis of phase-locking at low quanta levels in a nonlinear Kerr resonator under pulsed excitation, highlighting quantum effects and chaos.

Findings

Wigner functions show two-fold symmetry in phase space.

Phase-locked states form in both regular and chaotic regimes.

Quantum chaos influences phase-locking behavior.

Abstract

We discuss phase-locking phenomena at low-level of quanta for parametrically driven nonlinear Kerr resonator (PDNR) in strong quantum regime. Oscillatory mode of PDNR is created in the process of a degenerate down-conversion of photons under interaction with a train of external Gaussian pulses. We calculate the Wigner functions of cavity mode showing two-fold symmetry in phase space and analyse formation of phase-locked states in the regular as well as the quantum chaotic regime.