Matter-wave squeezing and the generation of SU(1,1) and SU(2) coherent-states via Feshbach resonances

Abstract

Pair operators for boson and fermion atoms generate SU(1,1) and SU(2) Lie algebras, respectively. Consequently, the pairing of boson and fermion atoms into diatomic molecules via Feshbach resonances, produces SU(1,1) and SU(2) coherent states, making bosonic pairing the matter-wave equivalent of parametric coupling and fermion pairing equivalent to the Dicke model of quantum optics. We discuss the properties of atomic states generated in the dissociation of molecular Bose-Einstein condensates into boson or fermion constituent atoms. The SU(2) coherent states produced in dissociation into fermions give Poissonian atom-number distributions, whereas the SU(1,1) states generated in dissociation into bosons result in super-poissonian distributions, in analogy to two-photon squeezed states. In contrast, starting from an atomic gas produces coherent number distributions for bosons and super-poissonian distributions for fermions.

13 pages, 8 figures

References in corpus (9)

• Observation of Bose-Einstein Condensation of Molecules
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Observation of molecules produced from a Bose-Einstein condensate
• Nonequilibrium dynamics and thermodynamics of a degenerate Fermi gas across a Feshbach resonance
• Many-body effects on adiabatic passage through Feshbach resonances
• First-principles quantum simulations of dissociation of molecular condensates: Atom correlations in momentum space
• Spatial pair correlations of atoms in molecular dissociation
• Confinement effects on the stimulated dissociation of molecular BECs

Cited by in corpus (3)

• Relationship between spin squeezing and single-particle coherence in two-component Bose-Einstein condensates with Josephson coupling
• Interaction-induced instability and chaos in the photoassociative stimulated Raman adiabatic passage from atomic to molecular Bose-Einstein condensates
• Entropies and IPR as Markers for a Phase Transition in a Two-Level Model for Atom-Diatomic Molecule Coexistence