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20062019
most citedThe two-site Bose--Hubbard model

32 citations · 77 across the 10 of their papers we have counts for

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cond-mat.quant-gas2016

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…

cond-mat.quant-gas2015★ 2 cited

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…

cond-mat.quant-gas2015★ 1 cited

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…

cond-mat.quant-gas2011★ 4 cited

Exactly solvable models for multiatomic molecular Bose-Einstein condensates

G. Santos

I introduce two family of exactly solvable models for multiatomic hetero-nuclear and homo-nuclear molecular Bose-Einstein condensates through the algebraic Bethe ansatz method. The…

cond-mat.quant-gas2010★ 28 cited

Quantum phase transitions in an interacting atom-molecule boson model

Gilberto Santos, Angela Foerster, Jon Links +2

We study the quantum phase transitions of a model that describes the interconversion of interacting bosonic atoms and molecules. Using a classical analysis, we identify a threshold…