Measurement and Memory in the Periodically Driven Complex Ginzburg-Landau equation

Abstract

In the present work we illustrate that classical but nonlinear systems may possess features reminiscent of quantum ones, such as memory, upon suitable external perturbation. As our prototypical example, we use the two-dimensional complex Ginzburg-Landau equation in its vortex glass regime. We impose an external drive as a perturbation mimicking a quantum measurement protocol, with a given "measurement rate" (the rate of repetition of the drive) and "mixing rate" (characterized by the intensity of the drive). Using a variety of measures, we find that the system may or may not retain its coherence, statistically retrieving its original glass state, depending on the strength and periodicity of the perturbing field. The corresponding parametric regimes and the associated energy cascade mechanisms involving the dynamics of vortex waveforms and domain boundaries are discussed.

References in corpus (4)

• Phase Diagram of the Two-Dimensional Complex Ginzburg-Landau Equation
• Energy spectra of vortex distributions in two-dimensional quantum turbulence
• Classical and quantum regimes of two-dimensional turbulence in trapped Bose-Einstein condensates
• Quench dynamics in disordered two-dimensional Gross-Pitaevskii Lattices

Cited by in corpus (2)

• Vortex formation and quantum turbulence with rotating paddle potentials in a two-dimensional binary Bose-Einstein condensate
• A Nonlinear Journey from Structural Phase Transitions to Quantum Annealing