Equivalent T-Q relations and exact results for the open TASEP

Nicolas Crampe; Rafael I. Nepomechie

doi:10.1088/1742-5468/aae2e0

Equivalent T-Q relations and exact results for the open TASEP

Nicolas Crampe, Rafael I. Nepomechie

Physics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Starting from the Bethe ansatz solution for the open totally asymmetric simple exclusion process (TASEP), we compute the largest eigenvalue of the deformed Markovian matrix, in exact agreement with results obtained by the matrix ansatz. We also compute the eigenvalues of the higher conserved charges. The key step is to find a simpler equivalent T-Q relation, which is similar to the one for the TASEP with periodic boundary conditions.

Original language	English (US)
Article number	103105
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2018
Issue number	10
DOIs	https://doi.org/10.1088/1742-5468/aae2e0
State	Published - Oct 24 2018

Keywords

exact results
exclusion processes
integrable spin chains and vertex models
quantum integrability (Bethe ansatz)

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Statistics, Probability and Uncertainty

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AB - Starting from the Bethe ansatz solution for the open totally asymmetric simple exclusion process (TASEP), we compute the largest eigenvalue of the deformed Markovian matrix, in exact agreement with results obtained by the matrix ansatz. We also compute the eigenvalues of the higher conserved charges. The key step is to find a simpler equivalent T-Q relation, which is similar to the one for the TASEP with periodic boundary conditions.

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KW - exclusion processes

KW - integrable spin chains and vertex models

KW - quantum integrability (Bethe ansatz)

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Equivalent T-Q relations and exact results for the open TASEP

Abstract

Keywords

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