Atomic twin-beams and violation of a motional-state Bell inequality from a phase-fluctuating quasi-condensate source
arXiv:2002.01998 · doi:10.1103/PhysRevA.101.043615
Abstract
We investigate the dynamics of atomic twin beams produced from a phase-fluctuating source, specifically a 1D Bose gas in the quasi-condensate regime, motivated by the experiment reported in Nature Physics 7, 608 (2011). A short-time analytic model is constructed, which is a modified version of the undepleted pump approximation widely used in quantum and atom optics, except that here we take into account the initial phase fluctuations of the pump source as opposed to assuming long-range phase coherence. We use this model to make quantitative and qualitative predictions of how phase-fluctuations of the source impact the two-particle correlations of scattered atom-pairs. The model is benchmarked against detailed numerical simulations using stochastic phase-space methods, and is shown to validate the intuitive notion that the broadening of momentum-space correlation functions between atoms scattered from a quasi-condensate is driven by the broadened momentum width of the source compared to a true phase coherent condensate. Finally, we combine these theoretical tools and results to investigate the effect phase fluctuations of the twin-beam source can have on a proposed demonstration of a violation of a Bell inequality, which intrinsically relies on phase-sensitive pair correlations.
14 pages, 4 figures
References in corpus (23)
- Atom Interferometers
- Twin matter waves for interferometry beyond the classical limit
- Bosonizing one-dimensional cold atomic gases
- An atomic Hong-Ou-Mandel experiment
- Observation of atom pairs in spontaneous four wave mixing of two colliding Bose-Einstein Condensates
- Collective emission of matter-wave jets from driven Bose-Einstein condensates
- Violation of the Cauchy-Schwarz inequality with matter waves
- Sub-Poissonian number differences in four-wave mixing of matter waves
- Two-body momentum correlations in a weakly interacting one-dimensional Bose gas
- Atomic four-wave mixing via condensate collisions
- First-principles quantum simulations of dissociation of molecular condensates: Atom correlations in momentum space
- Atom-atom correlations in colliding Bose-Einstein condensates
- Einstein-Podolsky-Rosen correlations from colliding Bose-Einstein condensates
- Proposal for a motional-state Bell inequality test with ultracold atoms
- Coherent inflationary dynamics for Bose-Einstein condensates crossing a quantum critical point
- Spatial pair correlations of atoms in molecular dissociation
- Pair correlations of scattered atoms from two colliding Bose-Einstein Condensates: Perturbative Approach
- A two-particle, four-mode interferometer for atoms
- Dynamics of parametric matter wave amplification
- Atom-atom correlations and relative number squeezing in dissociation of spatially inhomogeneous molecular condensates
- Thermal counting statistics in an atomic two-mode squeezed vacuum state
- Anisotropy in s-wave Bose-Einstein condensate collisions and its relationship to superradiance
- Raman scattering of atoms from a quasi-condensate in a perturbative regime