Hamburg 2009 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 37: Ultrakalte Atome: Manipulation und Detektion / Rydbergatome (mit A)
Q 37.4: Vortrag
Mittwoch, 4. März 2009, 17:15–17:30, Audi-B
Quantum resolution limits for imaging Bose gases — •Antonio Negretti1,2, Carsten Henkel3, and Klaus Molmer2 — 1Institut für Quanteninformationsverarbeitung, Universität Ulm, Albert-Einstein-Allee 11, D-89081 Ulm, Germany — 2Lundbeck Foundation Theoretical Center for Quantum System Research Department of Physics and Astronomy, University of Aarhus, DK-8000 Aarhus C, Denmark — 3Universität Potsdam, Institut für Physik und Astronomie, Karl-Liebknecht-Str. 24/25, D-14476 Potsdam, Germany
We present an analysis of the resolution limits for observables contained in the density profiles for an ultracold Bose gas of atoms. Within the Bogoliubov approximation we compute the density-density correlations by including both quantum and thermal fluctuations. These correlations provide a tool to construct the (approximate) joint counting statistics of atoms in an array of pixels covering the gas. As an example of the general theory, we derive the position uncertainty of a dark soliton in a quasi one dimensional Bose gas. The smallest uncertainty scales with the atomic background density, n, as n−3/4, beating the classical shot noise limit. Intriguingly, the sensitivity is slightly improved when quantum fluctuations are included.