The Spectrum of Particles with Short-Ranged Interactions in a Harmonic Trap

The Spectrum of Particles with Short-Ranged Interactions in a Harmonic Trap

The possibility to control short-ranged interactions of cold gases in optical traps by Feshbachresonances makes these systems ideal candidates to study universal scaling properties and Efimov physics. The spectrum of particles in a trap, idealised by a harmonic oscillator potential, in the zero ra...

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Main Authors: Metsch B. Ch., Hammer H.-W., Tölle S.
Format: Article
Language:English
Published: EDP Sciences 2010-04-01
Series:EPJ Web of Conferences
Online Access:http://dx.doi.org/10.1051/epjconf/20100302004
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spelling doaj-664b510a1ec84ce5a652e5689c31f7a82021-08-02T17:24:26ZengEDP SciencesEPJ Web of Conferences2100-014X2010-04-0130200410.1051/epjconf/20100302004The Spectrum of Particles with Short-Ranged Interactions in a Harmonic TrapMetsch B. Ch.Hammer H.-W.Tölle S.The possibility to control short-ranged interactions of cold gases in optical traps by Feshbachresonances makes these systems ideal candidates to study universal scaling properties and Efimov physics. The spectrum of particles in a trap, idealised by a harmonic oscillator potential, in the zero range limit with 2- and 3-particle contact interactions is studied numerically. The Hamiltonian is regularised by restricting the oscillator basis and the coupling constants are tuned such that the ground state energies of the 2- and 3-particle sector are reproduced [1],[2]. Results for 2-, 3-, and 4 particle systems are presented and compared to exact results [3],[4]. http://dx.doi.org/10.1051/epjconf/20100302004
collection DOAJ
language English
format Article
sources DOAJ
author Metsch B. Ch.
Hammer H.-W.
Tölle S.
spellingShingle Metsch B. Ch.
Hammer H.-W.
Tölle S.
The Spectrum of Particles with Short-Ranged Interactions in a Harmonic Trap
EPJ Web of Conferences
author_facet Metsch B. Ch.
Hammer H.-W.
Tölle S.
author_sort Metsch B. Ch.
title The Spectrum of Particles with Short-Ranged Interactions in a Harmonic Trap
title_short The Spectrum of Particles with Short-Ranged Interactions in a Harmonic Trap
title_full The Spectrum of Particles with Short-Ranged Interactions in a Harmonic Trap
title_fullStr The Spectrum of Particles with Short-Ranged Interactions in a Harmonic Trap
title_full_unstemmed The Spectrum of Particles with Short-Ranged Interactions in a Harmonic Trap
title_sort spectrum of particles with short-ranged interactions in a harmonic trap
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2010-04-01
description The possibility to control short-ranged interactions of cold gases in optical traps by Feshbachresonances makes these systems ideal candidates to study universal scaling properties and Efimov physics. The spectrum of particles in a trap, idealised by a harmonic oscillator potential, in the zero range limit with 2- and 3-particle contact interactions is studied numerically. The Hamiltonian is regularised by restricting the oscillator basis and the coupling constants are tuned such that the ground state energies of the 2- and 3-particle sector are reproduced [1],[2]. Results for 2-, 3-, and 4 particle systems are presented and compared to exact results [3],[4].
url http://dx.doi.org/10.1051/epjconf/20100302004
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