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This research establishes the fundamental limits of spin squeezing in trapped Bose-Einstein condensates, a critical advancement for enhancing signal-to-noise ratios in atomic clocks and quantum metrology. By combining classical simulations with analytical treatments that include quantum effects at finite temperatures, the study defines practical boundaries for these systems beyond idealized homogeneous models.
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Limit of spin squeezing in trapped Bose-Einstein condensates

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arXiv:1303.0299v3 Announce Type: replace 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.

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.

Quantum Physics (quant-ph); Quantum Gases (cond-mat.quant-gas)

arXiv:1303.0299 [quant-ph]

(or arXiv:1303.0299v3 [quant-ph] for this version)

EPL - Europhysics Letters, 2013, 102, pp.40001

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