Quasi-one-dimensional scattering in a discrete model

Details Quasi-one-dimensional scattering in a discrete model Quasi-one-dimensional scattering in a discrete model

2011-07-27

arxiv.org/abs/1107.5459v1

Phys. Rev. A 84, 053628 (2011)

Physics

Quantum Physics

8 pages, 6 figures

Scientific paper

We study quasi-one-dimensional scattering of one and two particles with short-range interactions on a discrete lattice model in two dimensions. One of the directions is tightly confined by an arbitrary trapping potential. We obtain the collisional properties of these systems both at finite and zero Bloch quasi- momenta, considering as well finite sizes and transversal traps that support a continuum of states. This is made straightforward by using the exact ansatz for the quasi-one-dimensional states from the beginning. In the more interesting case of genuine two-particle scattering, we find that more than one confinement-induced resonance appear due to the non-separability of the center-of-mass and relative coordinates on the lattice. This is done by solving its corresponding Lippmann- Schwinger-like equation. We characterize the effective one-dimensional interaction and compare it with a model that includes only the effect of the dominant, broadest resonance, which amounts to a single-pole approximation for the interaction coupling constant.

Affiliated with

Also associated with

No associations

Rating

Quasi-one-dimensional scattering in a discrete model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quasi-one-dimensional scattering in a discrete model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasi-one-dimensional scattering in a discrete model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-113253