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Topological Quantum Computing Open Quantum Systems Decoherence

Correlation Functions of One-Dimensional Lieb-Liniger Anyons

arXiv
Authors: Ovidiu I. Patu, Vladimir E. Korepin, Dmitri V. Averin

Year

2007

Paper ID

49513

Status

Preprint

Abstract Read

~2 min

Abstract Words

102

Citations

N/A

Abstract

We have investigated the properties of a model of 1D anyons interacting through a δ-function repulsive potential. The structure of the quasi-periodic boundary conditions for the anyonic field operators and the many-anyon wavefunctions is clarified. The spectrum of the low-lying excitations including the particle-hole excitations is calculated for periodic and twisted boundary conditions. Using the ideas of the conformal field theory we obtain the large-distance asymptotics of the density and field correlation function at the critical temperature T=0 and at small finite temperatures. Our expression for the field correlation function extends the results in the literature obtained for harmonic quantum anyonic fluids.

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  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
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  • We have investigated the properties of a model of 1D anyons interacting through a δ-function repulsive potential.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0707.4520 [2] arXiv https://arxiv.org/abs/0707.4520 [3] Publisher https://arxiv.org/abs/0707.4520

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