Physics – Quantum Physics
Scientific paper
2008-07-04
Phys. Rev. A 78, 023630 (2008)
Physics
Quantum Physics
14 pages, 6 figures, Author list of Ref.[11] has been changed
Scientific paper
10.1103/PhysRevA.78.023630
We analyze the information content of density profiles for an ultracold Bose gas of atoms and extract resolution limits for observables contained in these images. Our starting point is density correlations that we compute within the Bogoliubov approximation, taking into account quantum and thermal fluctuations beyond mean-field theory. This provides an approximate way to construct the joint counting statistics of atoms in an array of pixels covering the gas. We derive the Fisher information of an image and the associated Cramer-Rao sensitivity bound for measuring observables contained in the image. We elaborate on our recent study on position measurements of a dark soliton [Negretti et al., Phys. Rev. A 77, 043606 (2008)] where a sensitivity scaling with the atomic density as n^{-3/4} was found. We discuss here a wider class of soliton solutions and present a detailed analysis of the Bogoliubov excitations and the gapless (Goldstone) excitation modes. These fluctuations around the mean field contribute to the noise in the image, and we show how they can actually improve the ability to locate the position of the soliton.
Henkel Carsten
Molmer Klaus
Negretti Antonio
No associations
LandOfFree
Quantum fluctuations in the image of a Bose gas does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantum fluctuations in the image of a Bose gas, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum fluctuations in the image of a Bose gas will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-598048