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Open Quantum Systems Decoherence
Quantum Simulation
Anyons in One Dimension
arXiv
Authors: Martin Greiter
Year
2021
Paper ID
40627
Status
Preprint
Abstract Read
~2 min
Abstract Words
74
Citations
N/A
Abstract
I give a non-technical account of fractional statistics in one dimension. In systems with periodic boundary conditions, the crossing of anyons is always uni-directional, and the fractional phase θ acquired by the anyons gives rise to fractional shifts in the spacings of the relative momenta, {Δp =2πhbar/L (|θ|/π+n)}. The fractional shift θ/π is a good quantum number of interacting anyons, even though the single particle momenta, and hence the non-negative integers n, are generally not.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- I give a non-technical account of fractional statistics in one dimension.
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