32 citations · 77 across the 10 of their papers we have counts for
10 papers
The exact solution of a generalized two-spins model
G. Santos
We present the exact solution of a family of two-spins models. The models are solved by the algebraic Bethe ansatz method using the -invariant -matrix and a multi-spins L…
Exact solution of a generalized two-sites Bose-Hubbard model
Gilberto N. Santos Filho
I introduce a new parametrization of a bosonic Lax operator for the algebraic Bethe ansatz method with the -invariant -matrix and use it to present the exact solution of…
Current algebra for a generalized two-site Bose-Hubbard model
Gilberto N. Santos Filho
We present a current algebra for a generalized two-site Bose-Hubbard model and use it to get the quantum dynamics of the currents. For different choices of the Hamiltonian paramete…
Currents algebra for the two-sites Bose-Hubbard model
Gilberto N. Santos Filho
I present a currents algebra for the two-sites Bose-Hubbard model, generalize the Heisenberg equation of motion to write the second time derivative of the currents operators and us…
Bethe states for the two-site Bose-Hubbard model: a binomial approach
Gilberto Santos, Changrim Ahn, Angela Foerster +1
We calculate explicitly the Bethe vectors states by the algebraic Bethe ansatz method with the -invariant -matrix for the two-site Bose-Hubbard model. Using a binomial ex…
A bosonic multi-state two-well model
G Santos, A Foerster, I Roditi
Inspired by the increasing possibility of experimental control in ultracold atomic physics, we introduce a new Lax operator and use it to construct and solve models with two wells…