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| related topics |
| {equation, function, exp} |
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Spin squeezing and precision probing with light and samples of atoms in
the gaussian approximation
Lars Bojer Madsen, Klaus Mølmer
abstract: We consider an ensemble of trapped atoms interacting with a continuous wave
laser field. For sufficiently polarized atoms and for a polarized light field,
we may approximate the non-classical components of the collective spin angular
momentum operator for the atoms and the Stokes vectors of the field by
effective position and momentum variables for which we assume a gaussian state.
Within this approximation, we present a theory for the squeezing of the atomic
spin by polarization rotation measurements on the probe light. We derive
analytical expressions for the squeezing with and without inclusion of the
noise effects introduced by atomic decay and by photon absorption. The theory
is readily adapted to the case of inhomogeneous light-atom coupling [A. Kuzmich
and T.A.B. Kennedy, Phys. Rev. Lett. Vol. 92, 030407 (2004)]. As a special
case, we show how to formulate the theory for an optically thick sample by
slicing the gas into pieces each having only small photon absorption
probability. Our analysis of a realistic probing and measurement scheme shows
that it is the maximally squeezed component of the atomic gas that determines
the accuracy of the measurement.
- oai_identifier:
- oai:arXiv.org:quant-ph/0406146
- categories:
- quant-ph
- comments:
- 12 pages, 5 figures
- doi:
- 10.1103/PhysRevA.70.052324
- arxiv_id:
- quant-ph/0406146
- journal_ref:
- Phys. Rev. A Vol. 70, 052324 (2004)
- created:
- 2004-06-21
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