Adiabatic Cooling with Non-Abelian Anyons

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.

References in corpus (18)

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• Paired composite fermion wavefunctions
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Cited by in corpus (14)

• Fractional charge and fractional statistics in the quantum Hall effects
• Statistics of fractionalized excitations through threshold spectroscopy
• Striped quantum Hall state in a half-filled Landau level
• Thermopower of Quantum Hall States in Corbino Geometry as a Measure of Quasiparticle Entropy
• Detecting Non-Abelian Anyons by Charging Spectroscopy
• Ettingshausen effect due to Majorana modes
• Second Landau Level Fractional Quantum Hall Effects in the Corbino Geometry
• Compass and Kitaev models -- Theory and Physical Motivations
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Stability of the 5/2 Fractional Quantum Hall State in a Corbino Disc Sample with In-plane Electric Fields
• Thermometry for Laughlin States of Ultracold Atoms
• Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States
• Edge mode velocities in the quantum Hall effect from a dc measurement
• 3D Non-Abelian Anyons: Degeneracy Splitting and Detection by Adiabatic Cooling