# A Hybrid Anyon-Otto thermal machine

## TL;DR

This paper introduces a quantum thermal machine based on the 1D anyon Hubbard model, showing how interactions and anyonic statistics can enhance work extraction at low temperatures, with potential experimental realization using ultracold atoms.

## Contribution

It proposes a hybrid anyon-Otto cycle leveraging anyonic statistics and interactions, demonstrating enhanced thermodynamic performance over traditional particles.

## Key findings

- Maximum work at pseudo-fermionic limit without interactions.
- Work peaks at intermediate angles with weak interactions.
- Experimental protocol outlined for ultracold atom implementation.

## Abstract

We propose a four-stroke quantum thermal machine based on the 1D anyon Hubbard model, which is capable of extracting the excess energy arising from anyon exclusion statistics at low temperature into finite work. Defining a hybrid anyon-Otto (HAO) cycle, we find that the low-temperature work, in the absence of any interactions, is maximized in the pseudo-fermionic limit, where the anyons most closely resemble free fermions. However, when weak interactions are introduced, the work output is no longer maximized at the bosonic or pseudo-fermionic extremes but instead peaks at intermediate statistical angles. This clearly demonstrates that interactions and anyonic statistics conspire non-trivially to enhance performance, with interacting anyons offering greater quantum thermodynamic advantage than either bosons or pseudo-fermions, in this regime. Furthermore, we also outline an experimental protocol to realize the HAO cycle using ultracold atoms in an optical lattice.