近日，俄罗斯圣光机大学（ITMO University）的A. Verbitskiy与英国拉夫堡大学的A. G. Balanov合作并取得一项新进展。经过不懈努力，他们探究了由周期相干脉冲串驱动的耗散光学系统中的混沌布洛赫振荡。相关研究成果已于2023年5月24日在国际知名学术期刊《物理评论A》上发表。

该研究小组探究了具有Kerr非线性并表现出布洛赫振荡的光学系统对周期相干脉冲串的响应特性。研究发现系统中由脉冲共振激发的场强度取决于脉冲串的周期。数值和解析分析的结果表明，当驱动脉冲的周期与布洛赫振荡周期相等时，系统的响应显著增强。

此外，具有足够大幅度的脉冲能够引发系统的不稳定性，从而导致波函数包络在时间和空间中出现混沌的布洛赫振荡。分析表明，这些不稳定性与倍周期分叉密切相关。随着脉冲幅度的增加，这种分叉效应逐渐级联，并触发出混沌行为。

附：英文原文

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

Author: A. Verbitskiy, A. Yulin, A. G. Balanov

Issue&Volume: 2023/05/24

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 pulse amplitude triggers the chaotic behavior.

DOI: 10.1103/PhysRevA.107.053519

Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.107.053519