Adiabatic Cooling with Non-Abelian Anyons

TL;DR

This paper proposes a method to detect non-Abelian anyons by observing adiabatic cooling effects in quantum liquids, offering a new approach to probe their ground state degeneracy.

Contribution

It introduces an adiabatic cooling technique based on non-Abelian entropy to identify non-Abelian anyons in fractional quantum Hall systems.

Findings

Non-Abelian anyons cause cooling when their number increases adiabatically.

Heating occurs in Abelian systems under the same process.

Estimates of cooling power suggest practical feasibility.

Abstract

We show in this Letter that the ground state degeneracy associated with the presence of non-Abelian anyons can be probed by using an adiabatic cooling process based on the non-Abelian entropy. In particular, we show that when the number of such anyons is increased adiabatically at sufficiently low temperatures, the non-Abelian liquid undergoes cooling, whereas heating occurs in the Abelian case. Estimates are provided for the cooling power produced by the non-Abelian anyon refrigerator, and its implementation in non-Abelian fractional quantum Hall liquids is discussed.