Many-body constraints and non-thermal behavior in 1D open systems with Haldane exclusion statistics

TL;DR

This paper investigates how Haldane Exclusion Statistics constraints affect relaxation dynamics in 1D open systems, revealing universal features and slower relaxation compared to fermionic systems, with implications for non-thermal behavior.

Contribution

It introduces a second-quantized framework for analyzing relaxation in systems with Haldane Exclusion Statistics, highlighting universal slow-down effects.

Findings

Relaxation is slower than in spinless fermions.

Universal features of relaxation dynamics are identified.

Results apply broadly to systems with inter-level occupancy constraints.

Abstract

We study the impact of the inter-level energy constraints imposed by Haldane Exclusion Statistics on relaxation processes in 1-dimensional systems coupled to a bosonic bath. By formulating a second-quantized description of the relevant Fock space, we identify certain universal features of this relaxation dynamics, and show that it is generically slower than that of spinless fermions. Our study focuses on the Calogero-Sutherland model, which realizes Haldane Exclusion statistics exactly in one dimension; however our results apply to any system that has the associated pattern of inter-level occupancy constraints in Fock space.