English

Higher-order nonclassical properties of atom-molecule Bose-Einstein Condensate

Quantum Physics 2014-07-08 v1

Abstract

The transient quantum statistical properties of the atoms and molecules in an atom-molecule BEC system are investigated by obtaining a third-order perturbative solution of the Heisenberg's equations of motion corresponding to the Hamiltonian of an atom-molecule BEC system where two atoms can collide to form a molecule. Time dependent quantities like two boson correlation, entanglement, squeezing, antibunching, etc., are computed and their properties are compared. It is established that atom-molecule BEC system is highly nonclassical as lower-order and higher-order squeezing and antibunching in pure (atomic and molecular) modes, squeezing and antibunching in compound mode and lower-order and higher-order entanglement in compound mode can be observed in the atom-molecule BEC system. Exact numerical results are also reported and analytic results obtained using the perturbative technique are shown to coincide with the exact numerical results.

Keywords

Cite

@article{arxiv.1407.1780,
  title  = {Higher-order nonclassical properties of atom-molecule Bose-Einstein Condensate},
  author = {Sandip Kumar Giri and Kishore Thapliyal and Biswajit Sen and Anirban Pathak},
  journal= {arXiv preprint arXiv:1407.1780},
  year   = {2014}
}

Comments

12 pages, 6 figures

R2 v1 2026-06-22T04:57:14.588Z