2004/07/16 by Sahel Ashhab, S. Ashhab · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Advanced Frequency and Time Standards #Bose–Einstein condensate #Coherence (philosophical gambling strategy) #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Condensed matter physics #Distribution (mathematics) #Interference (communication) #Lattice (music) #Mathematical analysis #Mathematics #Optics #Phase (matter) #Phase coherence #Physics #Probability distribution #Quantum mechanics #Spectroscopy and Laser Applications #Statistical physics #Statistics #Telecommunications #Visibility #cond-mat.soft
paper · pdf · doi:10.1103/physreva.71.063602
published as Phys. Rev. A 71, 063602 (2005) · 9 pages, 2 figures
arxiv created 2004/07/16 · openalex publication_date 2005/06/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study theoretically the interference patterns produced by the overlap of an array of Bose-Einstein condensates that have no phase coherence among them. We show that density-density correlations at different quasimomenta, which play an important role in two-condensate interference, become negligible for large N, where N is the number of overlapping condensates. In order to understand the physics of this phenomenon, it is sufficient to consider the periodicity of the lattice and the statistical probability distribution of a random-walk problem. The average visibility of such interference patterns decreases as N^\ensuremath-1∕2 for large N.