4 papers
Bethe ansatz solution to integrable bosonic cube networks
Lachlan Bennett, Phillip S. Isaac, Jon Links
We study two extended Bose-Hubbard-type Hamiltonians representing bosonic networks restricted to the graph of a cube. For both Hamiltonians, we demonstrate that Bethe ansatz method…
Superintegrable bosonic star networks
Angela Foerster, Jon Links
We introduce a class of bosonic star networks involving a central site interacting with the surrounding environment sites. These networks are shown to be superintegrable. We presen…
Explicit conserved operators for a class of integrable bosonic networks from the classical Yang-Baxter equation
Phillip S. Isaac, Jon Links, Inna Lukyanenko +1
Let 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 determin…
Dark states in an integrable XY central spin model
Jaco van Tonder, Jon Links
Eigenstates of central spin models in which the central spin is unentangled with the environment are known as dark states. They have recently been observed in a class of integrable…