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Title: Comment on 'Feshbach resonances in an optical lattice'

Abstract

We point out some logical inconsistencies in the model proposed in [Phys. Rev. A 71, 043604 (2005)] as well as in the calculations performed on it. The proposed model is not able to describe Feshbach resonances in optical lattices.

Authors:
;  [1]
  1. Department of Physics, Ohio State University, Columbus, Ohio 43210 (United States)
Publication Date:
OSTI Identifier:
20786813
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.73.017601; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSONS; ENERGY LEVELS; MATHEMATICAL MODELS; OPTICS; RESONANCE

Citation Formats

Diener, Roberto B., and Ho, T.-L. Comment on 'Feshbach resonances in an optical lattice'. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.0.
Diener, Roberto B., & Ho, T.-L. Comment on 'Feshbach resonances in an optical lattice'. United States. doi:10.1103/PHYSREVA.73.0.
Diener, Roberto B., and Ho, T.-L. Sun . "Comment on 'Feshbach resonances in an optical lattice'". United States. doi:10.1103/PHYSREVA.73.0.
@article{osti_20786813,
title = {Comment on 'Feshbach resonances in an optical lattice'},
author = {Diener, Roberto B. and Ho, T.-L.},
abstractNote = {We point out some logical inconsistencies in the model proposed in [Phys. Rev. A 71, 043604 (2005)] as well as in the calculations performed on it. The proposed model is not able to describe Feshbach resonances in optical lattices.},
doi = {10.1103/PHYSREVA.73.0},
journal = {Physical Review. A},
number = 1,
volume = 73,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}
  • We show that the Comment by Diener and Ho [Phys. Rev. A 73, 017601 (2006)] is based on the misunderstanding that the Hamiltonian used by Dickerscheid et al. to describe Feshbach resonances in an optical lattice is a microscopic Hamiltonian as opposed to an effective Hamiltonian.
  • Motivated by a recent experiment by Zelevinsky et al. [Phys. Rev. Lett. 96, 203201 (2006)], we present the theory for photoassociation and optical Feshbach resonances of atoms confined in a tight one-dimensional (1D) or two-dimensional (2D) optical lattice. In the case of an alkaline-earth-metal intercombination resonance, the narrow natural width of the line makes it possible to observe clear manifestations of the dimensionality, as well as some sensitivity to the scattering length of the atoms. Among possible applications, a 2D lattice may be used to increase the spectroscopic resolution by about one order of magnitude. Furthermore, a 1D lattice inducesmore » a shift that provides an alternative way of determining the strength of a resonance by spectroscopic measurements.« less
  • We present a theory for ultracold atomic gases in an optical lattice near a Feshbach resonance. In the single-band approximation the theory describes atoms and molecules that can both tunnel through the lattice. Moreover, an avoided crossing between the two-atom and the molecular states occurs at every site. We determine the microscopic parameters of the generalized Hubbard model that describes this physics, using the experimentally known parameters of the Feshbach resonance in the absence of the optical lattice. As an application we also calculate the zero-temperature phase diagram of an atomic Bose gas in an optical lattice.
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