Integrability of the multi-species TASEP with species-dependent rates

TL;DR

This paper demonstrates that the multi-species TASEP with species-dependent jump rates is integrable using the Bethe Ansatz, allowing explicit calculation of transition probabilities for systems with multiple species.

Contribution

It establishes the integrability of the multi-species TASEP with arbitrary species-dependent rates via the Bethe Ansatz method.

Findings

Bethe Ansatz applies to multi-species TASEP with species-dependent rates

Explicit transition probabilities can be obtained for systems with up to N species

The model's integrability extends the understanding of multi-species exclusion processes

Abstract

Assume that each species $l$ has its own jump rate $b_l$ in the multi-species totally asymmetric simple exclusion process. We show that this model is \textit{integrable} in the sense that the Bethe Ansatz method is applicable to obtain the transition probabilities for all possible $N$-particle systems with up to $N$ different species.