Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1311.3777 · Indian Journal of Physics

A model study on atom–atom interactions with large scattering length in quasi-two dimensional traps

P. Goswami, Arpita Rakshit, Bimalendu Deb

Published Feb 18, 2015• 3 citations
arXivHTMLPDF
DOI
10.1007/s12648-015-0653-4

Related papers

Pseudopotential model of ultracold atomic collisions in quasi-one- and two-dimensional traps

Eric L. Bolda, Eite Tiesinga, Paul S. Julienne

We describe a model for s-wave collisions between ground-state atoms in optical lattices, considering especially the limits of quasi-one- and two-dimensional axisymmetric harmonic confinement. When the atomic interactions are modeled by an s-wave Fermi pseudopotential, the relative motion energy eigenvalues can easily be obtained. The results show that except for a bound state, the trap eigenvalues are consistent with one- and two-dimensional scattering with renormalized scattering amplitudes. For absolute scattering lengths large compared with the tightest trap width, our model predicts a bound state of low energy and nearly-isotropic wave function extending on the order of the tightest trap width.

arXiv:quant-ph/0304001•Physical Review A•Sep 8, 2003•66 citations

Quantum defect model of reactive collisions in quasi-1D and quasi-2D traps

Zbigniew Idziaszek, Paul S. Julienne, Andrea Micheli +3 more

Bulletin of the American Physical Society•May 27, 2010•0 citations

Low-Dimensional Few-Body Processes in Confined Geometry of Atomic and Hybrid Atom-Ion Traps

Vladimir S. Melezhik

arXiv:1812.01676•Springer proceedings in physics•Jan 1, 2020•0 citations

Analytical solutions for the dynamics of two trapped interacting ultracold atoms

Zbigniew Idziaszek, Tommaso Calarco

We discuss exact solutions of the Schr\"odinger equation for the system of two ultracold atoms confined in an axially symmetric harmonic potential. We investigate different geometries of the trapping potential, in particular we study the properties of eigenenergies and eigenfunctions for quasi-one-dimensional and quasi-two-dimensional traps. We show that the quasi-one-dimensional and the quasi-two-dimensional regimes for two atoms can be already realized in the traps with moderately large (or small) ratios of the trapping frequencies in the axial and the transverse directions. Finally, we apply our theory to Feshbach resonances for trapped atoms. Introducing in our description an energy-dependent scattering length we calculate analytically the eigenenergies for two trapped atoms in the presence of a Feshbach resonance.

arXiv:quant-ph/0604205•Physical Review A•Aug 8, 2006•120 citations

Two atoms in an anisotropic harmonic trap

Zbigniew Idziaszek, Tommaso Calarco

We consider the system of two interacting atoms confined in axially symmetric harmonic trap. Within the pseudopotential approximation, we solve the Schr\"odinger equation exactly, discussing the limits of quasi-one-and quasi-two-dimensional geometries. Finally, we discuss the application of an energy-dependent pseudopotential, which allows us to extend the validity of our results to the case of tight traps and large scattering lengths.

arXiv:quant-ph/0410163•Physical Review A•May 23, 2005•79 citations

Dipole-Dipole Interaction in Quasi One-Dimensional Harmonic Traps

J. Bjerlin

•Jan 1, 2012•1 citation
We describe a model for s-wave collisions between ground-state atoms in optical lattices, considering especially the limits of quasi-one- and two-dimensional axisymmetric harmonic confinement. When the atomic interactions are modeled by an s-wave Fermi pseudopotential, the relative motion energy eigenvalues can easily be obtained. The results show that except for a bound state, the trap eigenvalues are consistent with one- and two-dimensional scattering with renormalized scattering amplitudes. For absolute scattering lengths large compared with the tightest trap width, our model predicts a bound state of low energy and nearly-isotropic wave function extending on the order of the tightest trap width.
We discuss exact solutions of the Schr\"odinger equation for the system of two ultracold atoms confined in an axially symmetric harmonic potential. We investigate different geometries of the trapping potential, in particular we study the properties of eigenenergies and eigenfunctions for quasi-one-dimensional and quasi-two-dimensional traps. We show that the quasi-one-dimensional and the quasi-two-dimensional regimes for two atoms can be already realized in the traps with moderately large (or small) ratios of the trapping frequencies in the axial and the transverse directions. Finally, we apply our theory to Feshbach resonances for trapped atoms. Introducing in our description an energy-dependent scattering length we calculate analytically the eigenenergies for two trapped atoms in the presence of a Feshbach resonance.