Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Notas de Física

Current algebra for a generalized two-site Bose-Hubbard model

Gilberto N. Santos Filho

Published Apr 10, 2015• 0 citations
Publisher

Abstract

We present a current algebra for a generalized two-site Bose-Hubbard model and use it to getthe quantum dynamics of the currents. For different choices of the Hamiltonian parameters we getdifferent currents dynamics. We generalize the Heisenberg equation of motion to write the n-th timederivative of any operator.
DOI
10.7437/nf.vi1-16.179

Related papers

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 parameters we get different currents dynamics. We generalize the Heisenberg equation of motion to write the n-th time derivative of any operator.

arXiv:1511.05026•Nov 16, 2015•2 citations

Current algebra for the two-site Bose-Hubbard model

Gilberto N. Santos Filho

We present a current algebra for the two-site Bose-Hubbard model and use it to get the quantum dynamics of the currents. For different choices of the Hamiltonian parameters we get different currents dynamics. We generalize the Heisenberg equation of motion to write the second derivative of an operator.

•May 26, 2015•0 citations

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 use it to get the quantum dynamics of the currents. For different choices of the Hamiltonian parameters I get different currents dynamics and determine the period of the oscillations in function of the parameters.

arXiv:1505.06793•May 26, 2015•1 citation

Currents algebra for an atom-molecule Bose-Einstein condensate model

Gilberto N. Santos Filho

I present an interconversion currents algebra for an atom-molecule Bose-Einstein condensate model and use it to get the quantum dynamics of the currents. For different choices of the Hamiltonian parameters I get different currents dynamics.

arXiv:1605.01929•May 4, 2016•0 citations

Bethe states for the two-site Bose–Hubbard model: A binomial approach

Gilberto N. Santos Filho, Changrim Ahn, Angela Foerster +1 more

We calculate explicitly the Bethe vectors states by the algebraic Bethe ansatz method with the gl(2)-invariant R-matrix for the two-site Bose–Hubbard model. Using a binomial expansion of the n-th power of a sum of two operators we get and solve a recursion equation. We calculate the scalar product and the norm of the Bethe vectors states. The form factors of the imbalance current operator are also computed.

arXiv:1503.07885•Physics Letters B•May 5, 2015•5 citations

Current algebra for a generalized two-sites Bose-Hubbard model

Gilberto N. Santos Filho

Springer eBooks•Jan 1, 2017•0 citations