Self-induced Spatial Dynamics to Enhance Spin-Squeezing via One-Axis Twisting in a Two-Component Bose-Einstein Condensate

Abstract

We theoretically investigate a scheme to enhance spin squeezing in a two-component Bose-Einstein condensate (BEC) by utilizing the inherent mean-field dynamics of the condensate. Due to the asymmetry in the scattering lengths, the two components exhibit density oscillations where they spatially separate and recombine. The effective non-linearity responsible for spin squeezing is increased by up to three orders of magnitude when the two components spatially separate \cite{treutlein2010}. We perform a multi-mode simulation of the system using the truncated Wigner method, and show that this method can be used to create significant spin squeezing in systems where the effective nonlinearity would ordinarily be too small, and that strong spatial dynamics resulting from large particle numbers aren't necessarily detrimental to generating spin-squeezing. We develop a simplified semi-analytic model that gives good agreement with our multi-mode simulation, and will be useful for predicting spin-squeezing in a range of different systems.

11 pages, 10 figures

References in corpus (13)

• Nonlinear atom interferometer surpasses classical precision limit
• New determination of the fine structure constant and test of the quantum electrodynamics
• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• Twin matter waves for interferometry beyond the classical limit
• A New Method for Gravitational Wave Detection with Atomic Sensors
• XMDS2: Fast, scalable simulation of coupled stochastic partial differential equations
• Spin squeezing, entanglement and quantum metrology with Bose-Einstein condensates
• Precision atomic gravimeter based on Bragg diffraction
• Spin squeezing in a bimodal condensate: spatial dynamics and particle losses
• Spatially inhomogeneous phase evolution of a two-component Bose-Einstein condensate
• Generating squeezing in an atom laser through self-interaction
• Paired atom laser beams created via four-wave mixing
• Information recycling beam-splitters for atom-interferometry with enhanced sensitivity

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