Occurrence conditions for two-dimensional Borromean systems

A. G. Volosniev; D. V. Fedorov; A. S. Jensen; Nikolaj Thomas Zinner

doi:10.1140/epjd/e2013-30693-5

Occurrence conditions for two-dimensional Borromean systems

A. G. Volosniev, D. V. Fedorov, A. S. Jensen, Nikolaj Thomas Zinner

Department of Physics and Astronomy

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

14 Citations (Scopus)

Abstract

We search for Borromean three-body systems of identical bosons in two dimensional geometry, i.e. we search for bound three-boson system without bound two-body subsystems. Unlike three spatial dimensions, in two-dimensional geometry the two- and three-body thresholds often coincide ruling out Borromean systems. We show that Borromean states can only appear for potentials with substantial attractive and repulsive parts. Borromean states are most easily found when a barrier is present outside an attractive pocket. Extensive numerical search did not reveal Borromean states for potentials without an outside barrier. We outline possible experimental setups to observe Borromean systems in two spatial dimensions.

Original language	English
Journal	The European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics
Volume	67
Issue	95
ISSN	1434-6060
DOIs	https://doi.org/10.1140/epjd/e2013-30693-5
Publication status	Published - 7 May 2013

Keywords

quant-ph
cond-mat.quant-gas
nucl-th

Access to Document

10.1140/epjd/e2013-30693-5

Cite this

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title = "Occurrence conditions for two-dimensional Borromean systems",

abstract = "We search for Borromean three-body systems of identical bosons in two dimensional geometry, i.e. we search for bound three-boson system without bound two-body subsystems. Unlike three spatial dimensions, in two-dimensional geometry the two- and three-body thresholds often coincide ruling out Borromean systems. We show that Borromean states can only appear for potentials with substantial attractive and repulsive parts. Borromean states are most easily found when a barrier is present outside an attractive pocket. Extensive numerical search did not reveal Borromean states for potentials without an outside barrier. We outline possible experimental setups to observe Borromean systems in two spatial dimensions.",

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Occurrence conditions for two-dimensional Borromean systems. / G. Volosniev, A.; V. Fedorov, D.; S. Jensen, A. et al.
In: The European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics, Vol. 67, No. 95, 07.05.2013.

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

TY - JOUR

T1 - Occurrence conditions for two-dimensional Borromean systems

AU - G. Volosniev, A.

AU - V. Fedorov, D.

AU - S. Jensen, A.

AU - Zinner, Nikolaj Thomas

N1 - 9 pages, 5 figures

PY - 2013/5/7

Y1 - 2013/5/7

N2 - We search for Borromean three-body systems of identical bosons in two dimensional geometry, i.e. we search for bound three-boson system without bound two-body subsystems. Unlike three spatial dimensions, in two-dimensional geometry the two- and three-body thresholds often coincide ruling out Borromean systems. We show that Borromean states can only appear for potentials with substantial attractive and repulsive parts. Borromean states are most easily found when a barrier is present outside an attractive pocket. Extensive numerical search did not reveal Borromean states for potentials without an outside barrier. We outline possible experimental setups to observe Borromean systems in two spatial dimensions.

AB - We search for Borromean three-body systems of identical bosons in two dimensional geometry, i.e. we search for bound three-boson system without bound two-body subsystems. Unlike three spatial dimensions, in two-dimensional geometry the two- and three-body thresholds often coincide ruling out Borromean systems. We show that Borromean states can only appear for potentials with substantial attractive and repulsive parts. Borromean states are most easily found when a barrier is present outside an attractive pocket. Extensive numerical search did not reveal Borromean states for potentials without an outside barrier. We outline possible experimental setups to observe Borromean systems in two spatial dimensions.

KW - quant-ph

KW - cond-mat.quant-gas

KW - nucl-th

U2 - 10.1140/epjd/e2013-30693-5

DO - 10.1140/epjd/e2013-30693-5

M3 - Journal article

SN - 1434-6060

VL - 67

JO - The European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics

JF - The European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics

IS - 95

ER -