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Title: Formation of Molecules near a Feshbach Resonance in a 1D Optical Lattice

Abstract

We study the molecular behavior of two atoms interacting near a Feshbach resonance in the presence of a 1D periodic potential. The critical value of the scattering length needed to produce a molecule and the binding energy at resonance are calculated as a function of the intensity of the periodic potential. Because of the nonseparability of the center of mass and relative motion, the binding energy depends on the quasimomentum of the molecule. This has dramatic consequences on the molecular tunneling properties, which become strongly dependent on the scattering length.

Authors:
 [1];  [1];  [1];  [1]
  1. Dipartimento di Fisica, Universita di Trento and BEC-INFM, 1-38050 Povo (Italy)
Publication Date:
OSTI Identifier:
20699274
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 95; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevLett.95.060402; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ATOMS; BINDING ENERGY; BOUND STATE; CENTER-OF-MASS SYSTEM; FUNCTIONS; MOLECULES; PERIODICITY; POTENTIAL ENERGY; POTENTIALS; RESONANCE; SCATTERING LENGTHS; SCHROEDINGER EQUATION; TUNNEL EFFECT

Citation Formats

Orso, G, Pitaevskii, L P, Kapitza Institute for Physical Problems, 117334 Moscow, Stringari, S, Ecole Normale Superieure and College de France, Laboratoire Kastler Brossel, 24 Rue Lhomond, 75231 Paris, Wouters, M, and TFVS, Universiteit Antwerpen, Universiteitsplein 1, 2610 Antwerpen. Formation of Molecules near a Feshbach Resonance in a 1D Optical Lattice. United States: N. p., 2005. Web. doi:10.1103/PhysRevLett.95.060402.
Orso, G, Pitaevskii, L P, Kapitza Institute for Physical Problems, 117334 Moscow, Stringari, S, Ecole Normale Superieure and College de France, Laboratoire Kastler Brossel, 24 Rue Lhomond, 75231 Paris, Wouters, M, & TFVS, Universiteit Antwerpen, Universiteitsplein 1, 2610 Antwerpen. Formation of Molecules near a Feshbach Resonance in a 1D Optical Lattice. United States. https://doi.org/10.1103/PhysRevLett.95.060402
Orso, G, Pitaevskii, L P, Kapitza Institute for Physical Problems, 117334 Moscow, Stringari, S, Ecole Normale Superieure and College de France, Laboratoire Kastler Brossel, 24 Rue Lhomond, 75231 Paris, Wouters, M, and TFVS, Universiteit Antwerpen, Universiteitsplein 1, 2610 Antwerpen. 2005. "Formation of Molecules near a Feshbach Resonance in a 1D Optical Lattice". United States. https://doi.org/10.1103/PhysRevLett.95.060402.
@article{osti_20699274,
title = {Formation of Molecules near a Feshbach Resonance in a 1D Optical Lattice},
author = {Orso, G and Pitaevskii, L P and Kapitza Institute for Physical Problems, 117334 Moscow and Stringari, S and Ecole Normale Superieure and College de France, Laboratoire Kastler Brossel, 24 Rue Lhomond, 75231 Paris and Wouters, M and TFVS, Universiteit Antwerpen, Universiteitsplein 1, 2610 Antwerpen},
abstractNote = {We study the molecular behavior of two atoms interacting near a Feshbach resonance in the presence of a 1D periodic potential. The critical value of the scattering length needed to produce a molecule and the binding energy at resonance are calculated as a function of the intensity of the periodic potential. Because of the nonseparability of the center of mass and relative motion, the binding energy depends on the quasimomentum of the molecule. This has dramatic consequences on the molecular tunneling properties, which become strongly dependent on the scattering length.},
doi = {10.1103/PhysRevLett.95.060402},
url = {https://www.osti.gov/biblio/20699274}, journal = {Physical Review Letters},
issn = {0031-9007},
number = 6,
volume = 95,
place = {United States},
year = {Fri Aug 05 00:00:00 EDT 2005},
month = {Fri Aug 05 00:00:00 EDT 2005}
}