Spatiotemporal chaotic localized state in liquid crystal light valve experiments with optical feedback

Area of Science:

• Nonlinear dynamics
• Optics
• Complex systems

Background:

• Spatiotemporal chaos describes complex patterns evolving in both space and time.
• Localized structures in nonlinear systems can exhibit unique stability and dynamics.
• Liquid crystal light valves with optical feedback are suitable platforms for studying pattern formation.

Purpose of the Study:

• To investigate the existence and properties of localized spatiotemporal chaos.
• To experimentally demonstrate and theoretically support the emergence of these chaotic structures.
• To elucidate the underlying mechanisms driving localized spatiotemporal chaos.

Main Methods:

• Experimental observation in a liquid crystal light valve with optical feedback.
• Numerical simulations using the Lifshitz model.
• Derivation of a simplified model to analyze front interactions.

Main Results:

• Evidence for localized spatiotemporal chaotic structures was found experimentally.
• Numerical simulations confirmed the experimental findings and the Lifshitz model's relevance.
• Coexistence of uniform and chaotic states was identified as crucial for localized chaos.
• A front interaction mechanism was identified as the origin of these structures.

Conclusions:

• Localized spatiotemporal chaos exists and can be experimentally generated.
• The Lifshitz model and its simplified version accurately describe the observed phenomena.
• Front interactions are fundamental to the formation and dynamics of localized spatiotemporal chaos.