# Suppression of quantum scattering in strongly confined systems.

@article{Kim2006SuppressionOQ,
title={Suppression of quantum scattering in strongly confined systems.},
author={J. I. Kim and Vladimir S. Melezhik and Peter Schmelcher},
journal={Physical review letters},
year={2006},
volume={97 19},
pages={
193203
}
}
• Published 31 October 2006
• Physics
• Physical review letters
We demonstrate that scattering of particles strongly interacting in three dimensions (3D) can be suppressed at low energies in a quasi-one-dimensional (1D) confinement. The underlying mechanism is the interference of the s- and p-wave scattering contributions with large s- and p-wave 3D scattering lengths being a necessary prerequisite. This low-dimensional quantum scattering effect might be useful in "interacting" quasi-1D ultracold atomic gases, guided atom interferometry, and impurity…
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## References

SHOWING 1-10 OF 50 REFERENCES

• Physics
• 2005
Finite-size effects not only alter the energy levels of small systems, but can also lead to additional effective interactions within these systems. Here the problem of low-energy quantum scattering
• Physics
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• 2005
The strongly interacting one-dimensional Fermi gas which is created in an optical lattice represents a realization of a tunable Luttinger liquid and is in good agreement with theory.
• Physics
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• 2004
A multichannel scattering theory for atom-atom collisions in quasi-1D geometries is developed and it is shown that tightly confined fermions have infinitely strong interactions at a particular value of the 3D, free-space p-wave scattering volume.
We calculate, within the pseudopotential approximation, a one-dimensional scattering amplitude and effective one-dimensional interaction potential for atoms confined transversally by an atom
• Physics
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• 2005
A spin-polarized degenerate Fermi gas interacting via a p-wave Feshbach resonance in an optical lattice is studied to realize one- and two-dimensional gases and, therefore, to restrict the asymptotic scattering states of atomic collisions.
• Physics
• 2005
We solve the two-particle s-wave scattering problem for ultracold atom gases confined in arbitrary quasi-one-dimensional (1D) trapping potentials, allowing for two different atom species. As a
• Physics
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• 2003
A physical interpretation of the atom-atom scattering under transverse harmonic confinement is presented as a novel type of Feshbach resonance in which the transverse modes of the confining potential assume the roles of "open" and "closed" scattering channels.
• Physics
• 2002
The dynamics of an atom waveguide X-junction beam splitter becomes truly one dimensional in a regime of low temperatures and densities and large positive scattering lengths where the transverse mode
• Physics
• 2004
We study the quantum dynamics of a two-mode Bose-Einstein condensate in a time-dependent symmetric double-well potential using analytical and numerical methods. The effects of internal degrees of
• Physics
Physical review letters
• 2005
The measurements are consistent with the theory of dipolar quantum gases and show that a chromium condensate is an excellent model system to study dipolar interactions in such gases.