Feshbach molecules in a one-dimensional optical lattice

Journal Article · Fri Feb 15 00:00:00 EST 2008 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.77.021601· OSTI ID:21140426

Nygaard, N; Piil, R; Moelmer, K ^[1]

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1. Lundbeck Foundation Theoretical Center for Quantum System Research, Department of Physics and Astronomy, University of Aarhus, DK-8000 Aarhus C (Denmark)

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.

• OSTI ID: 21140426
• Journal Information: Physical Review. A, Vol. 77, Issue 2; Other Information: DOI: 10.1103/PhysRevA.77.021601; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ATOM-ATOM COLLISIONS
ATOMS
BOUND STATE
MAGNETIC FIELDS
MOLECULES
ONE-DIMENSIONAL CALCULATIONS
OPTICAL MODELS
PROBABILITY
RESONANCE
SCATTERING