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Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

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Published on: March 30, 2017

Adiabatic cooling with non-Abelian anyons.

G Gervais¹, Kun Yang

¹Department of Physics, McGill University, Montreal H3A 2T8, Canada.

Physical Review Letters

|September 28, 2010

Summary

Ground state degeneracy in non-Abelian anyons can be measured using adiabatic cooling. Non-Abelian systems cool when anyon numbers increase, unlike Abelian systems which heat up.

Area of Science:

Condensed Matter Physics
Quantum Information Science

Background:

Non-Abelian anyons exhibit unique ground state properties crucial for topological quantum computation.
Probing ground state degeneracy is essential for understanding and harnessing these exotic particles.

Purpose of the Study:

To introduce a novel method for probing ground state degeneracy of non-Abelian anyons.
To differentiate between Abelian and non-Abelian anyonic systems using thermodynamic properties.

Main Methods:

Utilizing an adiabatic cooling process driven by non-Abelian entropy.
Adiabatically increasing the number of anyons at low temperatures.

Main Results:

Demonstrated that non-Abelian anyon systems exhibit cooling during adiabatic anyon number increase.

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Last Updated: Jun 8, 2026

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

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Showed that Abelian anyon systems exhibit heating under the same process.

Provided estimates for the cooling power of a non-Abelian anyon refrigerator.

Conclusions:

Adiabatic cooling serves as a viable experimental probe for non-Abelian ground state degeneracy.
The distinct thermal responses of Abelian and non-Abelian systems offer a method for their classification.
The proposed non-Abelian anyon refrigerator has potential applications in quantum computing architectures, particularly in non-Abelian fractional quantum Hall liquids.