Explicit conserved operators for a class of integrable bosonic networks from the classical Yang-Baxter equation

2025/07/01 by Isaac, Phillip S., Links, Jon, Lukyanenko, Inna +1
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2507.00483

Abstract

Let B denote the weighted adjacency matrix of a balanced, symmetric, bipartite graph. We define a class of bosonic networks given by Hamiltonians whose hopping terms are determined by B. We show that each quantum Hamiltonian is Yang-Baxter integrable, admitting a set of mutually commuting operators derived through a solution of the classical Yang-Baxter equation. We discuss some applications and consequences of this result.

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