Theoretical construction of 1D anyon models
Ren-Gui Zhu, An-Min Wang
TL;DR
This paper presents a theoretical framework for constructing one-dimensional anyon models using path integral formalism, introducing a statistical interaction to realize exchange statistics and discussing quantum mechanics aspects of statistical transmutation.
Contribution
It provides a novel theoretical construction of 1D anyon models through path integrals and introduces a statistical interaction term for exchange statistics.
Findings
Successful formulation of 1D anyon models using path integrals
Introduction of a statistical interaction term for exchange statistics
Discussion of quantum mechanics aspects of statistical transmutation
Abstract
One-dimensional anyon models are renewedly constructed by using path integral formalism. A statistical interaction term is introduced to realize the anyonic exchange statistics. The quantum mechanics formulation of statistical transmutation is presented.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum many-body systems · Cold Atom Physics and Bose-Einstein Condensates