English

Currents algebra for the two-sites Bose-Hubbard model

Quantum Gases 2016-05-06 v2 Superconductivity Quantum Physics

Abstract

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.

Cite

@article{arxiv.1505.06793,
  title  = {Currents algebra for the two-sites Bose-Hubbard model},
  author = {Gilberto N. Santos Filho},
  journal= {arXiv preprint arXiv:1505.06793},
  year   = {2016}
}

Comments

4 pages, 1 figure

R2 v1 2026-06-22T09:41:09.532Z