Exploring nonlinear dynamics in periodically driven time crystal: from synchronized to chaotic motion

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...

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Bibliographic Details
Published in:arXiv.org 2024-06
Main Authors: Greilich, Alex, Kopteva, Nataliia E, Korenev, Vladimir L, Bayer, Manfred
Format: Article
Language:English
Subjects:
Bifurcations
Circular polarization
Dynamical systems
Electron spin
Entrainment
Frequency spectrum
Nonlinear dynamics
Nonlinear phenomena
Nuclear spin
Oscillations
Polarization modulation
Time synchronization
Tongue
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Summary: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.
ISSN:2331-8422