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

Nicolas Crampe, Rafael Nepomechie

Research output: Contribution to journalArticle

1 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 languageEnglish (US)
Article number103105
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2018
Issue number10
DOIs
StatePublished - 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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