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Integral formula for the propagator of the one-dimensiona...
[Submitted on 25 Feb 2026 (v1), last revised 29 May 2026 (this v · 2026-06-01 · via math updates on arXiv.org

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Abstract:We present an exact integral formula for the multi-particle propagator of the one-dimensional Fermi--Hubbard model on an infinite lattice. The proof is based on the nested Bethe ansatz without relying on the string hypothesis. Our formula enables an explicit integral representation of the time evolution of arbitrary finite-particle wave functions and thereby provides a foundation for the exact analysis of nonequilibrium dynamics in the Hubbard model. It can further be applied to related open quantum models.

Submission history

From: Taiki Ishiyama [view email]
[v1] Wed, 25 Feb 2026 03:56:10 UTC (406 KB)
[v2] Fri, 29 May 2026 04:59:18 UTC (407 KB)