Atom-atom correlations in colliding Bose-Einstein condensates

Abstract

We analyze atom-atom correlations in the s-wave scattering halo of two colliding condensates. By developing a simple perturbative approach, we obtain explicit analytic results for the collinear (CL) and back-to-back (BB) correlations corresponding to realistic density profiles of the colliding condensates with interactions. The results in the short time limit are in agreement with the first-principles simulations using the positive-$P$ representation and provide analytic insights into the experimental observations of Perrin et al. [Phys. Rev. Lett. 99, 150405 (2007)]. For long collision durations, we predict that the BB correlation becomes broader than the CL correlation.

Minor corrections to the text; final published version

References in corpus (7)

• Observation of atom pairs in spontaneous four wave mixing of two colliding Bose-Einstein Condensates
• Atomic four-wave mixing via condensate collisions
• First-principles quantum simulations of dissociation of molecular condensates: Atom correlations in momentum space
• Spatial pair correlations of atoms in molecular dissociation
• Hanbury Brown and Twiss correlations in atoms scattered from colliding condensates
• Pair correlations of scattered atoms from two colliding Bose-Einstein Condensates: Perturbative Approach
• Atom-atom correlations and relative number squeezing in dissociation of spatially inhomogeneous molecular condensates

Cited by in corpus (7)

• Collective emission of matter-wave jets from driven Bose-Einstein condensates
• Violation of the Cauchy-Schwarz inequality with matter waves
• Proposal for a motional-state Bell inequality test with ultracold atoms
• Correlated directional atomic clouds via four-heterowave mixing
• Anisotropic collisions of dipolar Bose-Einstein condensates in the universal regime
• Anisotropy in s-wave Bose-Einstein condensate collisions and its relationship to superradiance
• On the Dynamics of the Fermi-Bose Model