Maximal length of trapped one-dimensional Bose-Einstein condensates
Uwe R. Fischer
TL;DR
This paper derives a rigorous upper bound on the maximum length of one-dimensional Bose-Einstein condensates in traps, providing a theoretical limit for their axial extension based on the Bogoliubov inequality.
Contribution
It introduces a Bogoliubov inequality-based method to establish a strict upper limit on the length of elongated Bose-Einstein condensates, specifically for harmonically trapped systems.
Findings
Derived an explicit upper limit for the aspect ratio of elongated condensates
Provided a theoretical bound for the axial extension of BECs in harmonic traps
Enhanced understanding of the spatial constraints of 1D Bose-Einstein condensates
Abstract
I discuss a Bogoliubov inequality for obtaining a rigorous bound on the maximal axial extension of inhomogeneous one-dimensional Bose-Einstein condensates. An explicit upper limit for the aspect ratio of a strongly elongated, harmonically trapped Thomas-Fermi condensate is derived.
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