Measurement and memory in the periodically driven complex Ginzburg-Landau equation

Area of Science:

• Nonlinear dynamics
• Quantum-classical correspondence
• Complex systems

Background:

• Classical nonlinear systems can exhibit complex behaviors.
• Quantum systems possess unique properties like memory and coherence.
• Understanding the interplay between classical and quantum phenomena is crucial.

Purpose of the Study:

• To investigate if classical nonlinear systems can display quantum-like features, specifically memory.
• To explore the role of external perturbations in inducing such behaviors.
• To analyze the complex Ginzburg-Landau equation as a model system.

Main Methods:

• Utilizing the two-dimensional complex Ginzburg-Landau equation in its vortex glass regime.
• Applying an external drive mimicking quantum measurement protocols.
• Varying the measurement rate and mixing rate (drive intensity) of the perturbation.

Main Results:

• The system's coherence and ability to retrieve its original glass state depend on the perturbation's strength and periodicity.
• Identified parametric regimes where quantum-like memory is observed.
• Observed energy cascade mechanisms involving vortex waveforms and domain boundaries.

Conclusions:

• Classical nonlinear systems can be engineered to exhibit quantum-like memory through external perturbations.
• The complex Ginzburg-Landau equation serves as a viable model for studying quantum-classical analogies.
• External drive parameters critically influence the system's ability to retain coherence and memory.