Quantum-field dynamics of expanding and contracting Bose-Einstein condensates

Abstract

We analyze the dynamics of quantum statistics in a harmonically trapped Bose-Einstein condensate, whose two-body interaction strength is controlled via a Feshbach resonance. From an initially non-interacting coherent state, the quantum field undergoes Kerr squeezing, which can be qualitatively described with a single mode model. To render the effect experimentally accessible, we propose a homodyne scheme, based on two hyperfine components, which converts the quadrature squeezing into number squeezing. The scheme is numerically demonstrated using a two-component Hartree-Fock-Bogoliubov formalism.

9 pages, 4 figures

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• Tracking Rydberg atoms with Bose-Einstein Condensates
• Collisions of solitary waves in condensates beyond mean-field theory
• Non-Hermitian matter wave mixing in Bose Einstein condensates: dissipation induced amplification
• Nonclassicality of axion-like dark matter through gravitational self-interactions
• Dynamics of atoms within atoms
• Density correlations from analogue Hawking radiation in the presence of atom losses
• Fluctuation assisted collapses of Bose-Einstein condensates