Feshbach molecules in a one-dimensional optical lattice

2007/08/31 by N. Nygaard, Nicolai Nygaard, Rune Piil +3 · 3 citations
Chemistry · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum optics and atomic interactions #Spectroscopy and Laser Applications #cond-mat.other #quant-ph

paper · pdf · doi:10.1103/physreva.77.021601

published as Phys. Rev. A 77, 021601(R) (2008) · 4 pages, 3 figures

openalex publication_date 2008/02/01 · arxiv created 2008/02/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present the theory of a pair of atoms in a one-dimensional optical lattice interacting via a narrow Feshbach resonance. Using a two-channel description of the resonance, we derive analytic results for the scattering states inside the continuum band and the discrete bound states outside the band. We identify a Fano resonance profile, and the survival probability of a molecule when swept through the Bloch band of scattering states by varying an applied magnetic field. We discuss how these results may be used to investigate the importance of the structured nature of the continuum in experiments.

Citations

• Tunneling couplings in discrete lattices, single-particle band structure, and eigenstates of interacting atom pairs
• Atom-Molecule Rabi Oscillations in a Mott Insulator
• Repulsively bound atom pairs in an optical lattice
• Effects of Configuration Interaction on Intensities and Phase Shifts

Cited by

• Scattering and binding of different atomic species in a one-dimensional optical lattice
• Two-channel Feshbach physics in a structured continuum
• Feshbach resonances in ultracold gases