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Updated: Jul 8, 2026

Optical Trap Loading of Dielectric Microparticles In Air
Published on: February 5, 2017
One-dimensional bosons in three-dimensional traps
Elliott H Lieb1, Robert Seiringer, Jakob Yngvason
1Department of Physics, Jadwin Hall, Princeton University, P.O. Box 708, Princeton, New Jersey 08544, USA.
Abstract:
Recent experimental and theoretical work has indicated conditions in which a trapped, low density Bose gas ought to behave like the 1D delta-function Bose gas solved by Lieb and Liniger. Up until now, the theoretical arguments have been based on variational/perturbative ideas or numerical investigations. There are four parameters: density, transverse and longitudinal dimensions, and scattering length. In this paper we explicate five parameter regions in which various types of 1D or 3D behavior occur in the ground state. Our treatment is based on a rigorous analysis of the many-body Schrödinger equation.
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