Thermodynamics of Statistical Anyons
- URL: http://arxiv.org/abs/2102.02181v2
- Date: Mon, 22 Feb 2021 14:57:06 GMT
- Title: Thermodynamics of Statistical Anyons
- Authors: Nathan M. Myers and Sebastian Deffner
- Abstract summary: In low-dimensional systems, indistinguishable particles can display statistics that interpolate between bosons and fermions.
Signatures of these "anyons" have been detected in two-dimensional quasiparticle excitations of the fractional quantum Hall effect.
We propose "statistical anyons" realized through a statistical mixture of particles with bosonic and fermionic symmetry.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In low-dimensional systems, indistinguishable particles can display
statistics that interpolate between bosons and fermions. Signatures of these
"anyons" have been detected in two-dimensional quasiparticle excitations of the
fractional quantum Hall effect, however experimental access to these
quasiparticles remains limited. As an alternative to these "topological
anyons," we propose "statistical anyons" realized through a statistical mixture
of particles with bosonic and fermionic symmetry. We show that the framework of
statistical anyons is equivalent to the generalized exclusion statistics (GES)
pioneered by Haldane, significantly broadening the range of systems to which
GES apply. We develop the full thermodynamic characterizations of these
statistical anyons, including both equilibrium and nonequilibrium behavior. To
develop a complete picture, we compare the performance of quantum heat engines
with working mediums of statistical anyons and traditional topological anyons,
demonstrating the effects of the anyonic phase in both local equilibrium and
fully nonequilibrium regimes. In addition, methods of optimizing engine
performance through shortcuts to adiabaticity are investigated, using both
linear response and fast forward techniques.
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