Determinantal Representation of the Time-Dependent Stationary Correlation Function for the Totally Asymmetric Simple Exclusion Model

Abstract

The basic model of the non-equilibrium low dimensional physics the so-called totally asymmetric exclusion process is related to the 'crystalline limit' ($q\to \infty$) of the $S{U}_q(2)$ quantum algebra. Using the quantum inverse scattering method we obtain the exact expression for the time-dependent stationary correlation function of the totally asymmetric simple exclusion process on a one dimensional lattice with the periodic boundary conditions.

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Cited by in corpus (8)

• Finite-time fluctuations for the totally asymmetric exclusion process
• Exact Relaxation Dynamics in the Totally Asymmetric Simple Exclusion Process
• Riemann surfaces for KPZ with periodic boundaries
• Extrapolation methods and Bethe ansatz for the asymmetric exclusion process
• KP and Toda tau functions in Bethe ansatz
• Perturbative solution for the spectral gap of the weakly asymmetric exclusion process
• Riemann surface for TASEP with periodic boundaries
• KPZ fluctuations in finite volume