2013/11/30 by Karina Merloti, Romain Dubessy, Laurent Longchambon +2
Computer Science · Mathematics · Physics and Astronomy · #Bose gas #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Critical dimension #Dimension (graph theory) #Geometry #Ground state #Mathematics #Meteorology #Perspective (graphical) #Physics #Pure mathematics #Quantum Information and Cryptography #Quantum mechanics #Quantum, superfluid, helium dynamics #Scale (ratio) #Scale invariance #Statistical physics #Theoretical physics #Trap (plumbing) #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1103/physreva.88.061603
published as Physical Review A (2013) 061603 · 4 pages, 1 figure, published in PRA Rapid Comm
openalex publication_date 2013/12/27 · arxiv created 2013/12/28 · arxiv updated 2014/12/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
In this Rapid Communication, we describe how the presence of the third dimension may break the scale invariance in a two-dimensional Bose gas in a pancake-shaped trap. From the two-dimensional perspective, the possibility of a weak spilling of the atomic density beyond the ground state of the confinement alters the two-dimensional chemical potential; in turn, this correction no longer supports scale invariance. We compare experimental data with numerical and analytic perturbative results and find a good agreement.