English

Jaynes-Cummings dynamics with a matter wave oscillator

Soft Condensed Matter 2009-11-07 v1 Quantum Physics

Abstract

We propose to subject two Bose-Einstein condensates to a periodic potential, so that one condensate undergoes the Mott insulator transition to a state with precisely one atom per lattice site. We show that photoassociation of heteronuclear molecules within each lattice site is described by the quantum optical Jaynes-Cummings Hamiltonian. In analogy with studies of this Hamiltonian with cavity fields and trapped ions, we are thus able to engineer quantum optical states of atomic matter wave fields and we are able to reconstruct these states by quantum state tomography.

Keywords

Cite

@article{arxiv.cond-mat/0211542,
  title  = {Jaynes-Cummings dynamics with a matter wave oscillator},
  author = {Klaus Molmer},
  journal= {arXiv preprint arXiv:cond-mat/0211542},
  year   = {2009}
}

Comments

4 pages, 2 figures

R2 v1 2026-07-22T10:43:48.405Z