探索周期驱动时间晶体中的非线性动力学：从同步到混沌运动
Exploring nonlinear dynamics in periodically driven time crystal: from synchronized to chaotic motion
AI总结：
研究周期驱动时间晶体中的非线性动力学，揭示同步与混沌行为的转变机制及分岔结构。
摘要：
在InGaAs半导体中的耦合电子-核自旋系统作为非线性动力学的测试平台，当被连续圆极化激光激发时，可以产生自振荡，表现出类似时间晶体的行为。我们将该系统暴露于连续驱动的偏离，通过周期性调节激发极化，揭示出大量依赖于调制频率和深度的非线性现象。我们发现系统振荡被调制频率同步的范围。这些范围的宽度取决于极化调制深度，导致出现阿诺德舌。在舌外，当改变调制频率时，系统表现出各种分数次谐波响应，通过分岔喷嘴相互连接。在此频率谱中，每个分支形成魔鬼阶梯。当通过增加阶次的分岔进入同步范围时，混沌行为出现。这些发现可以由先进的时间晶体模型描述。我们讨论了获得的结果与不同时间物质相的联系。
英文摘要：
The coupled electron-nuclear spin system in an InGaAs semiconductor as testbed of nonlinear dynamics can develop auto-oscillations, resembling time-crystalline behavior, when continuously excited by a circularly polarized laser. We expose this system to deviations from continuous driving by periodic modulation of the excitation polarization, revealing a plethora of nonlinear phenomena that depend on modulation frequency and depth. We find ranges in which the system's oscillations are entrained with the modulation frequency. The width of these ranges depends on the polarization modulation depth, resulting in an Arnold tongue. Outside the tongue, the system shows a variety of fractional subharmonic responses connected through bifurcation jets when varying the modulation frequency. Here, each branch in the frequency spectrum forms a devil's staircase. When an entrainment range is approached by going through an increasing order of bifurcations, chaotic behavior emerges. These findings can be described by an advanced model of the periodically pumped electron-nuclear spin system. We discuss the connection of the obtained results to different phases of time matter.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
