Limit of spin squeezing in trapped Bose-Einstein condensates

TL;DR

This paper investigates the maximum achievable spin squeezing in trapped Bose-Einstein condensates, accounting for finite temperature effects through simulations and analytical methods, with implications for quantum metrology.

Contribution

It extends previous homogeneous models to realistic trapped systems, providing a comprehensive analysis of spin squeezing limits including quantum effects.

Findings

Finite temperature limits spin squeezing in trapped BECs.

Analytical and simulation results agree on squeezing bounds.

Implications for improving atomic clock precision.

Abstract

The evolution of an interacting two-component Bose-Einstein condensate from an initial phase state leads to a spin squeezed state that may be used in atomic clocks to increase the signal-to-noise ratio, opening the way to quantum metrology. The efficiency of spin squeezing is limited by the finite temperature of the gas, as was shown theoretically in a spatially homogeneous system. Here we determine the limit of spin squeezing in the realistic trapped case, with classical field simulations, and with a completely analytical treatment that includes the quantum case.