28 citations · 383 across the 40 of their papers we have counts for
42 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…
The Dirac oscillator, generalised parastatistics and colour Lie superalgebras
Phillip S. Isaac, Mitchell Ryan
We study the Dirac oscillator in one, two and three spatial dimensions, showing that the corresponding ladder operators realise the -graded Lie su…
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…
Finite-dimensional -graded Lie algebras
Mark D. Gould, Phillip S. Isaac, Ian Marquette +1
We investigate the structure and representation theory of finite-dimensional -graded Lie algebras, including the corresponding root systems and Verma, irreducible, and…
Invariants and reduced Wigner coefficients for quasi-triangular Hopf superalgebras
Mark D. Gould, Phillip S. Isaac, Jason L. Werry
We develop explicit formulae for the eigenvalues of various invariants for highest weight irreducible representations of the quantum supergroup . The techniques emplo…
Ground-state energy of a Richardson-Gaudin integrable BCS model
Yibing Shen, Phillip S. Isaac, Jon Links
We investigate the ground-state energy of a Richardson-Gaudin integrable BCS model, generalizing the closed and open p+ip models. The Hamiltonian supports a family of mutually comm…