Tradeoffs for number-squeezing in collisions of Bose-Einstein condensates

Abstract

We investigate the factors that influence the usefulness of supersonic collisions of Bose-Einstein condensates as a potential source of entangled atomic pairs by analyzing the reduction of the number difference fluctuations between regions of opposite momenta. We show that non-monochromaticity of the mother clouds is typically the leading limitation on number squeezing, and that the squeezing becomes less robust to this effect as the density of pairs grows. We develop a simple model that explains the relationship between density correlations and the number squeezing, allows one to estimate the squeezing from properties of the correlation peaks, and shows how the multi-mode nature of the scattering must be taken into account to understand the behavior of the pairing. We analyze the impact of the Bose enhancement on the number squeezing, by introducing a simplified low-gain model. We conclude that as far as squeezing is concerned the preferable configuration occurs when atoms are scattered not uniformly but rather into two well separated regions.

13 pages, 13 figures, final version

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Cited by in corpus (13)

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• Quantum fluctuation effects on the quench dynamics of thermal quasicondensates
• Quantum dynamics of long-range interacting systems using the positive-P and gauge-P representations
• Anisotropy in s-wave Bose-Einstein condensate collisions and its relationship to superradiance
• Multi-time correlations in the positive-P, Q, and doubled phase-space representations
• On the survival of the quantum depletion of a condensate after release from a magnetic trap
• Pair correlation of atoms scattered from colliding Bose-Einstein quasicondensates
• Mesoscopic density grains in the 1d interacting Bose gas from the exact Yang-Yang solution
• Collision of two self-trapped atomic matter wave packets in an optical ring cavity
• Phase-space stochastic quantum hydrodynamics for interacting Bose gases
• Properties of atomic pairs produced in the collision of Bose-Einstein condensates
• Atomic twin-beams and violation of a motional-state Bell inequality from a phase-fluctuating quasi-condensate source