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This article addresses a fundamental challenge in quantum metrology by analytically solving for optimal spin squeezing within Bose-Einstein condensates despite particle losses. By quantifying the impact of one-body and multi-body loss rates on coherence, it provides critical theoretical bounds for maintaining high-precision measurements using atomic ensembles.

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Optimum spin-squeezing in Bose-Einstein condensates with particle losses

arXivJuly 22, 20261 min read

arXiv:0801.0932v3 Announce Type: replace Abstract: The problem of spin squeezing with a bimodal condensate in presence of particle losses is solved analytically by the Monte Carlo wavefunction method. We find the largest obtainable spin squeezing as a function of the one-body loss rate, the two-body and three-body rate constants, and the $s$-wave scattering length.

Abstract:The problem of spin squeezing with a bimodal condensate in presence of particle losses is solved analytically by the Monte Carlo wavefunction method. We find the largest obtainable spin squeezing as a function of the one-body loss rate, the two-body and three-body rate constants, and the $s$-wave scattering length.

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

arXiv:0801.0932 [quant-ph]

(or arXiv:0801.0932v3 [quant-ph] for this version)

Physical Review Letters, 2008, 100 (21), pp.210401

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