Spin squeezing in dipolar spinor condensates

Abstract

We study the effect of dipolar interactions on the level of squeezing in spin-1 Bose-Einstein condensates by using the single mode approximation. We limit our consideration to the $\mathfrak{su}(2)$ Lie subalgebra spanned by spin operators. The biaxial nature of dipolar interactions allows for dynamical generation of spin-squeezed states in the system. We analyze the phase portraits in the reduced mean-filed space in order to determine positions of unstable fixed points. We calculate numerically spin squeezing parameter showing that it is possible to reach the strongest squeezing set by the two-axis countertwisting model. We partially explain scaling with the system size by using the Gaussian approach and the frozen spin approximation.

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• Superadiabatic generation of cat states in bosonic Josephson junctions under particle losses
• Metrologically useful states of spin-1 Bose condensates with macroscopic magnetization
• Optimal atomic interferometry robust to detection noise using spin-1 atomic condensates
• Coherent control over the high-dimensional space of the nuclear spin of alkaline-earth atoms
• Rebuilding of destroyed spin squeezing in noisy environments
• Suppressing nonadiabatic transitions during adiabatic generation of highly entangled states in bosonic Josephson junctions
• Efficient two-mode interferometers with spinor Bose-Einstein condensates
• Heisenberg Operator Approach for Spin Squeezing Dynamics
• Critically-enhanced spin-nematic squeezing and entanglement in dipolar spinor condensates