Multilevel Holstein-Primakoff approximation and its application to atomic spin squeezing and ensemble quantum memories

Z. Kurucz and K. Mølmer
Phys. Rev. A 81, 032314 – Published 15 March 2010

Abstract

We show that an ensemble of identical d-level atoms can be efficiently described by d1 collective oscillator degrees of freedom in the vicinity of a product state with all atoms in the same, but otherwise arbitrary single-particle state. We apply our description to two different kinds of spin squeezing: (i) when each spin-F atom is individually squeezed without creating interatomic entanglement and (ii) when a particular collective atomic oscillator mode is squeezed via quantum nondemolition (QND) measurement and feedback. When combined in sequence, the order of the two methods is relevant in the final degree of squeezing. We also discuss the role of the two kinds of squeezing when multisublevel atoms are used as quantum memories for light.

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  • Received 21 December 2009

DOI:https://doi.org/10.1103/PhysRevA.81.032314

©2010 American Physical Society

Authors & Affiliations

Z. Kurucz* and K. Mølmer

  • Lundbeck Foundation Theoretical Center for Quantum System Research, Department of Physics and Astronomy, University of Aarhus, DK-8000 Århus C, Denmark

  • *Also at Research Institute for Solid State Physics and Optics, H.A.S., H-1525 Budapest, Hungary.

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Vol. 81, Iss. 3 — March 2010

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