Variance of a Trapped Bose-Einstein Condensate

O. E. Alon

doi:https://doi.org/10.1088/1742-6596/1206/1/012009

Variance of a Trapped Bose-Einstein Condensate

O. E. Alon

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

The ground state of a Bose-Einstein condensate in a two-dimensional trap potential is analyzed numerically at the infinite-particle limit. It is shown that the anisotropy of the many-particle position variance along the x and y axes can be opposite when computed at the many-body and mean-field levels of theory. This is despite the system being 100% condensed, and the respective energies per particle and densities per particle to coincide.

Original language	American English
Article number	012009
Number of pages	9
Journal	Journal of Physics: Conference Series
Volume	1206
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/1206/1/012009
State	Published - 17 Apr 2019
Event	27th Annual International Laser Physics Workshop, LPHYS 2018 - Nottingham, United Kingdom Duration: 16 Jul 2018 → 18 Jul 2018

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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https://doi.org/10.1088/1742-6596/1206/1/012009

Cite this

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abstract = "The ground state of a Bose-Einstein condensate in a two-dimensional trap potential is analyzed numerically at the infinite-particle limit. It is shown that the anisotropy of the many-particle position variance along the x and y axes can be opposite when computed at the many-body and mean-field levels of theory. This is despite the system being 100% condensed, and the respective energies per particle and densities per particle to coincide.",

author = "Alon, {O. E.}",

note = "Funding Information: This research was supported by the Israel Science Foundation (Grant No. 600/15). We thank Raphael Beinke, Sudip Haldar, and Kaspar Sakmann for discussions. Computation time on the BwForCluster and the Cray XC40 system Hazelhen at the High Performance Computing Center Stuttgart (HLRS) is gratefully acknowledged. Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd.; 27th Annual International Laser Physics Workshop, LPHYS 2018 ; Conference date: 16-07-2018 Through 18-07-2018",

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AB - The ground state of a Bose-Einstein condensate in a two-dimensional trap potential is analyzed numerically at the infinite-particle limit. It is shown that the anisotropy of the many-particle position variance along the x and y axes can be opposite when computed at the many-body and mean-field levels of theory. This is despite the system being 100% condensed, and the respective energies per particle and densities per particle to coincide.

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T2 - 27th Annual International Laser Physics Workshop, LPHYS 2018

Y2 - 16 July 2018 through 18 July 2018

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Variance of a Trapped Bose-Einstein Condensate

Abstract

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