Chaos Driven by Interfering Memory
Abstract
The transmission of information can couple two entities of very different nature, one of them serving as a memory for the other. Here we study the situation in which information is stored in a wave field and serves as a memory that pilots the dynamics of a particle. Such a system can be implemented by a bouncing drop generating surface waves sustained by a parametric forcing. The motion of the resulting "walker" when confined in a harmonic potential well is generally disordered. Here we show that these trajectories correspond to chaotic regimes characterized by intermittent transitions between a discrete set of states. At any given time, the system is in one of these states characterized by a double quantization of size and angular momentum. A low dimensional intermittency determines their respective probabilities. They thus form an eigenstate basis of decomposition for what would be observed as a superposition of states if all measurements were intrusive.
 Publication:

Physical Review Letters
 Pub Date:
 September 2014
 DOI:
 10.1103/PhysRevLett.113.104101
 arXiv:
 arXiv:1609.04630
 Bibcode:
 2014PhRvL.113j4101P
 Keywords:

 05.45.a;
 05.65.+b;
 Nonlinear dynamics and chaos;
 Selforganized systems;
 Condensed Matter  Soft Condensed Matter;
 Nonlinear Sciences  Chaotic Dynamics;
 Physics  Fluid Dynamics
 EPrint:
 Phys. Rev. Lett. 113 (10), 104101, (2014)