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Quantum Electronics and Laser Science Conference

Conditions for spin squeezing in laser-cooled rubidium

S.R. de Echaniz, Marcin Kubasik, Herbert Crepaz, Morgan W. Mitchell, Jürgen Eschner, Eugene Simon Polzik

Published Dec 10, 2005• 0 citations
Publisher

Abstract

We propose a scheme to generate spin squeezing via a quantum non-demolition (QND) measurement in a cold sample of /sup 87/Rb atoms using the 5S/sub 1/2 /(F=1) hyperfine ground state.
DOI
10.1109/qels.2005.1548872

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We study the conditions for generating spin squeezing via a quantum non-demolition measurement in an ensemble of cold 87 Rb atoms. By considering the interaction of atoms in the 5S 1/2 ( F = 1) ground state with probe light tuned near the D 2 transition, we show that, for large detunings, this system is equivalent to a spin-1/2 system when suitable Zeeman substates and quantum operators are used to define a pseudo-spin. The degree of squeezing is derived for the rubidium system in the presence of scattering causing decoherence and loss. We describe how the system can decohere and lose atoms, and predict as much as 75% spin squeezing for atomic densities typical of optical dipole traps.
We demonstrate spin squeezing and entanglement in a large-spin system via quantum non-demolition measurement. We make non-destructive, projection-noise-limited collective spin measurements on an ensemble of up to in 8.4 × 105 laser-cooled 87Rb atoms in the f = 1 hyperfine ground state. A dynamically-decoupled probing scheme [Phys. Rev. Lett. 105, 093602 (2010)] prevents probe-induced decoherence. Repeated measurements show correlations beyond the standard quantum limit, indicating generation of a spin-squeezed state with up to −3.6 dB of noise reduction and −2.6 dB of metrologically-relevant squeezing.