Chaotic Bloch oscillations in dissipative optical systems driven by a periodic train of coherent pulses

TL;DR

This paper investigates how periodic coherent pulses influence Bloch oscillations in a Kerr nonlinear optical system, revealing conditions for resonance, instability, and chaos through numerical and analytical methods.

Contribution

It introduces the first detailed analysis of chaotic Bloch oscillations driven by periodic pulses in dissipative optical systems with Kerr nonlinearity.

Findings

Resonant dependence of field intensity on pulse train period

Large pulses induce instabilities leading to chaos

Chaos arises via period-doubling bifurcations

Abstract

We study the response of an optical system with the Kerr nonlinearity demonstrating Bloch oscillations to a periodic train of coherent pulses. It has been found out that the intensity of the field excited in the system by pulses resonantly depends on the train period. It is demonstrated numerically and analytically that the response of the system is stronger when the period of the driving pulses is commensurate with the period of the Bloch oscillations. Moreover, large enough pulses are capable to induce the instabilities which eventually lead to onset of chaotic Bloch oscillations of the wave-function envelope bouncing both in time and space. The analysis reveals that these instabilities are associated with period-doubling bifurcations. A cascade of such bifurcations with increase of the pulses amplitude triggers the chaotic behaviour.