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Jim Portegies (TU/e)
| Speaker: |
Jim Portegies (TU/e)
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| Date: |
Fridayday July 3, 2009
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| Title: |
Efimov Trimers in a
Harmonic Potential (Master's Thesis presentation)
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Abstract
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The
Efimov effect describes that in a three-body system of identical
bosons, an accumulation of bound states occurs in the limit of zero
energy and diverging scattering length of the two-particle interaction.
Recent experimental successes have shown signatures of those bound
states, called Efimov trimers. The experiments provide evidence of the
existence of Efimov trimers only in an indirect way. The short
life-time of the trimers is prohibiting a direct study. One idea of
stabilizing the Efimov trimers is to put them in an optical lattice.
As an approximation of three particles on a single lattice site, we
study a three-particle system in a harmonic potential. We present a
natural extension of the Efimov effect in free space, that unifies the
results that were known so far. An accumulation of bound states appears
in the limit of zero energy, diverging scattering length and vanishing
harmonic oscillator strength. For a fixed strength of the harmonic
oscillator, there is no accumulation of bound state energies.
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