Collision rate ansatz for quantum integrable systems

Takato Yoshimura, Herbert Spohn

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


For quantum integrable systems the currents averaged with respect to a generalized Gibbs ensemble are revisited. An exact formula is known, which we call “collision rate ansatz". While there is considerable work to confirm this ansatz in various models, our approach uses the symmetry of the current-charge susceptibility matrix, which holds in great generality. Besides some technical assumptions, the main input is the availability of a self-conserved current, i.e. some current which is itself conserved. The collision rate ansatz is then derived. The argument is carried out in detail for the Lieb-Liniger model and the Heisenberg XXZ chain. It is also explained how from the existence of a boost operator a self-conserved current can be deduced.

Original languageEnglish
Article number040
JournalSciPost Physics
Issue number3
StatePublished - 15 Sep 2020


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