Dynamics of classical analogs of bosons, fermions, and beyond
Phys. Rev. A 112, 052218 – Published 19 November, 2025
DOI: https://doi.org/10.1103/9rgm-gg5y
Abstract
We study the classical mechanics and dynamics of particles that retain some memory of quantum statistics. Our work builds on earlier work on the statistical mechanics and thermodynamics of such particles. Starting from the effective classical manifold associated with two-particle bosonic and fermionic coherent states, we show how their exchange statistics is reflected in the symplectic form of the manifold. We demonstrate the classical analogs of exclusion or bunching behavior expected in such states by studying their trajectories in various quadratic potentials. Our examples are two-particle coherent states in one dimension and two-particle vortex motion in the lowest Landau level. We finally compare and contrast our results with previous simulations of the full quantum system, and with existing results on the geometric interpretations of quantum mechanics.
