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Open Quantum Systems Decoherence Quantum Simulation

Second quantization of Leinaas-Myrheim anyons in one dimension and their relation to the Lieb-Liniger model

arXiv

Authors: Thore Posske, Björn Trauzettel, Michael Thorwart

Year

2016

Paper ID

43457

Status

Preprint

Abstract Read

~2 min

Abstract Words

105

Citations

N/A

Abstract

In one spatial dimension, anyons in the original description of Leinaas and Myrheim are formally equivalent to locally interacting bosons described by the Lieb-Liniger model. This admits an interesting reinterpretation of interacting bosons in the context of anyons. We elaborate on this parallel, particularly including the many-body bound states from the attractive Lieb-Liniger model. In the anyonic context these bound states are created purely by quantum-statistical attraction and coined quantum-statistical condensate, which is more robust than the Bose-Einstein condensate. We introduce the second quantization formalism for the present anyons and construct the generalized Jordan-Wigner transformation that connects them to the bosons of the Lieb-Liniger model.

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In one spatial dimension, anyons in the original description of Leinaas and Myrheim are formally equivalent to locally interacting bosons described by the Lieb-Liniger model.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1609.06314 [2] arXiv https://arxiv.org/abs/1609.06314 [3] Publisher https://arxiv.org/abs/1609.06314

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