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Physical Review A

Quantum entanglement of many atoms in spinor Bose-Einstein condensates

Xu‐Bo Zou, K. Pahlke, Wolfgang M. Mathis

Published May 10, 2004• 8 citations
Publisher

Abstract

We present a theoretical analysis of the experimental scheme for creating maximally entangled states of many atoms in spin-1 Bose-Einstein condensates by driving single atom Raman transition [Li You, Phys. Rev. Lett. 90, 030402 (2003)]. It is shown that, with the help of strong external laser pulses, the model proposed by You can be greatly simplified. Using this simplified interaction, an analytical expression is given for the entangled states between atoms with hyperfine spin $\ensuremath{-}1$ and 1. We also show how to generate the entangled state between atoms with hyperfine spin 0 and 1.

DOI
10.1103/physreva.69.053608

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We present a theoretical analysis of the experimental scheme for creating maximally entangled states of many atoms in spin-1 Bose-Einstein condensates by driving single atom Raman transition [Li You, Phys. Rev. Lett. 90, 030402 (2003)]. It is shown that, with the help of strong external laser pulses, the model proposed by You can be greatly simplified. Using this simplified interaction, an analytical expression is given for the entangled states between atoms with hyperfine spin \ensuremath−1\ensuremath{-}1\ensuremath−1 and 1. We also show how to generate the entangled state between atoms with hyperfine spin 0 and 1.
We propose a scheme for generating many-atom maximal entanglement states in spin-1 Bose-Einstein condensates. By applying a far-off-resonate blue-detuned linear-polarized laser to the condensates, the hyperfine level F=1,m=0F=1,m=0F=1,m=0 ground state and the hyperfine F=0F=0F=0 excited state are conveniently coupled. Such a configuration is more efficient and provides a fast implementation of the maximally entangled GHZ state, using only half of the time that is required in single-atom Raman-transition-based schemes [You, Phys. Rev. Lett. 90, 030402 (2003)].
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