论文标题
由周期性的连贯脉冲驱动的耗散光学系统中的混沌Bloch振荡
Chaotic Bloch oscillations in dissipative optical systems driven by a periodic train of coherent pulses
论文作者
论文摘要
我们研究了光学系统对KERR非线性的响应，该响应表明对周期性的相干脉冲列车的振荡。已经发现，脉冲在系统中激发的场的强度会共同取决于火车周期。在数值和分析上证明，当驱动脉冲的周期与BLOCH振荡周期相称时，系统的响应会更强。此外，足够大的脉冲能够诱导不稳定性，最终导致波力函数包膜在时间和空间上弹跳的混沌蓝光振荡发作。分析表明，这些不稳定性与周期倍增分叉有关。脉冲振幅增加的一系列级联反应会触发混乱的行为。
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.
