Quantum theory of atomic four-wave mixing in Bose-Einstein condensates

Elena V. Goldstein, Pierre Meystre

Research output: Contribution to journalArticle

84 Citations (Scopus)

Abstract

We present an exact quantum-mechanical analysis of collinear four-wave mixing in a multicomponent Bose-Einstein condensate consisting of sodium atoms in the F = 1 ground state. Technically, this is achieved by taking advantage of the conservation laws of the system to cast its Hamiltonian in terms of angular momentum operators. We discuss explicitly the build-up of matter-wave side modes from quantum fluctuations, as well as the correlations between these modes. We show the appearance of a strong quantum entanglement between hyperfine states. We also demonstrate that for finite atomic numbers, the system exhibits periodic collapses and revivals in the exchange of atoms between different spin states.

Original languageEnglish (US)
Pages (from-to)3896-3901
Number of pages6
JournalPhysical Review A
Volume59
Issue number5
StatePublished - 1999

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Bose-Einstein condensates
quantum theory
four-wave mixing
conservation laws
atoms
casts
angular momentum
sodium
operators
ground state

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Quantum theory of atomic four-wave mixing in Bose-Einstein condensates. / Goldstein, Elena V.; Meystre, Pierre.

In: Physical Review A, Vol. 59, No. 5, 1999, p. 3896-3901.

Research output: Contribution to journalArticle

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