Observable signature of the Berezinskii-Kosterlitz-Thouless transition in a planar lattice of Bose-Einstein condensates
Year: 2005
Authors: Trombettoni A., Smerzi A., Sodano P.
Autors Affiliation: Univ Parma, Ist Nazl Fis Mat, I-43100 Parma, Italy; Univ Parma, Dipartimento Fis, I-43100 Parma, Italy; Univ Trent, Ist Nazl Fis Mat, BEC CR, I-38050 Trento, Italy; Univ Trent, Dipartimento Fis, I-38050 Trento, Italy; Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA; Univ Perugia, Dipartimento Fis, I-06123 Perugia, Italy; Univ Perugia, Sez INFN, I-06123 Perugia, Italy.
Abstract: We investigate the possibility that Bose-Einstein condensates, loaded on a 2D optical lattice, undergo – at finite temperature – a Berezinskii – Kosterlitz – Thouless transition. We show that – in an experimentally attainable range of parameters – a planar lattice of Bose – Einstein condensates is described by the XY model at finite temperature. We demonstrate that the interference pattern of the expanding condensates provides the experimental signature of the Berezinskii Kosterlitz – Thouless transition by showing that, near the critical temperature, the (k) over right arrow = 0 component of the momentum distribution and the central peak of the atomic density profile sharply decrease. The finite-temperature transition for a 3D optical lattice is also discussed in this paper, and analogies with superconducting Josephson junction networks are stressed throughout the text.
Journal/Review: NEW JOURNAL OF PHYSICS
Volume: 7 Pages from: 57-1 to: 57-16
KeyWords: Josephson-junction Arrays; Phase-transition; Mott-insulator; Superfluid; GasDOI: 10.1088/1367-2630/7/1/057Citations: 51data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-10-20References taken from IsiWeb of Knowledge: (subscribers only)