Investigating Thermalization Properties of Novel Particle Statistics via Quantum Circuits and Numerical Methods

Parastatistical particles -- particles distinct from fermions and bosons and, unlike anyons, unrestricted to two dimensions -- were recently discovered to be possible, including as emergent particles with the simplest example being 1D chains of Rydberg atoms[1] While free paraparticle models are now well-understood, interacting paraparticles remain largely unexplored. Here we simulate a one-dimensional interacting paraparticle model using a quantum circuit with an aim to employ quantum computers to understand their behavior. Focusing on the simplest type of paraparticle, analyze nonequilibrium dynamics in the presence of weak perturbations, and show how such perturbations enable thermalization across superselection sectors, an important requirement for observing paraparticle phenomena experimentally. Our results establish a concrete route for simulating interacting paraparticles on quantum hardware and clarify the role of superselection rules in their dynamical behavior.

[1] Z. Wang and K. R. A. Hazzard, Particle exchange statistics beyond fermions and bosons, Nature 637, 314 (2025).