Title
"Sensitive dependence on the initial conditions of statistics with three particles"
Hyoung In Lee (Seoul National University)
Abstract
Markov processes are formulated with the counting statistics for both fermions and bosons with three particles. The resulting stationary states depend in general on the initial states. However, for particular sets of initial states, the stationary states get independent of initial states. These special conditions are numerically found with varying values of the source probability, which is introduced to construct binomial and negative-binomial probability distributions, respectively . These initial states in a three-dimensional space turned out to display several interesting geometric features similar to those exhibited by quantum mechanics. For instance, geometric squeezing and several anisotropic shapes in the phase space are obtained. A vortex dynamics can be extracted as well.
