Simultaneous readout of noncommuting collective spin observables beyond the standard quantum limit

We augment the information extractable from a single absorption image of a spinor Bose-Einstein condensate by coupling to initially empty auxiliary hyperfine states. Performing unitary transformations in both the original and auxiliary hyperfine manifold enables the simultaneous measurement of multi...

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Main Authors: Kunkel, Philipp (Author) , Prüfer, Maximilian (Author) , Lannig, Stefan (Author) , Rosa-Medina, Rodrigo (Author) , Bonnin, Alexis (Author) , Gärttner, Martin (Author) , Strobel, Helmut (Author) , Oberthaler, Markus K. (Author)
Format: Article (Journal)
Language:English
Published: 7 August 2019
In: Physical review letters
Year: 2019, Volume: 123, Issue: 6
ISSN:1079-7114
DOI:10.1103/PhysRevLett.123.063603
Online Access:Verlag, Volltext: https://doi.org/10.1103/PhysRevLett.123.063603
Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevLett.123.063603
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Author Notes:Philipp Kunkel, Maximilian Prüfer, Stefan Lannig, Rodrigo Rosa-Medina, Alexis Bonnin, Martin Gärttner, Helmut Strobel, and Markus K. Oberthaler

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520 |a We augment the information extractable from a single absorption image of a spinor Bose-Einstein condensate by coupling to initially empty auxiliary hyperfine states. Performing unitary transformations in both the original and auxiliary hyperfine manifold enables the simultaneous measurement of multiple spin-1 observables. We apply this scheme to an elongated atomic cloud of 87Rb to simultaneously read out three orthogonal spin directions and with that directly access the spatial spin structure. The readout even allows the extraction of quantum correlations which we demonstrate by detecting spin-nematic squeezing without state tomography. 
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