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Title: Pairing in Cold Atoms and other Applications for Quantum Monte Carlo methods

Abstract

We discuss the importance of the fermion nodes for the quantum Monte Carlo (QMC) methods and find two cases of the exact nodes. We describe the structure of the gen- eralized pairing wave functions in Pfaffian antisymmetric form and demonstrate their equivalency with certain class of configuration interaction wave functions. We present the QMC calculations of a model fermion system at unitary limit. We find the system to have the energy of E = 0.425Efree and the condensate fraction of = 0.48. Further we also perform the QMC calculations of the potential energy surface and the electric dipole moment along that surface of the LiSr molecule. We estimate the vibrationally averaged dipole moment to be D =0 = 0.4(2).

Authors:
 [1];  [1];  [1];  [2]
  1. ORNL
  2. United States Army Research Office, Durham, North Carolina
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1049146
DOE Contract Number:  
DE-AC05-00OR22725
Resource Type:
Journal Article
Journal Name:
Physics Procedia
Additional Journal Information:
Journal Volume: 3; Journal Issue: 3; Journal ID: ISSN 1875-3892
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ATOMS; CONDENSATES; CONFIGURATION INTERACTION; DIPOLE MOMENTS; ELECTRIC DIPOLE MOMENTS; FERMIONS; MONTE CARLO METHOD; POTENTIAL ENERGY; WAVE FUNCTIONS

Citation Formats

Bajdich, Michal, Kolorenc, Jindrich, Mitas, Lubos, and Reynolds, P. J. Pairing in Cold Atoms and other Applications for Quantum Monte Carlo methods. United States: N. p., 2010. Web. doi:10.1016/j.phpro.2010.01.199.
Bajdich, Michal, Kolorenc, Jindrich, Mitas, Lubos, & Reynolds, P. J. Pairing in Cold Atoms and other Applications for Quantum Monte Carlo methods. United States. https://doi.org/10.1016/j.phpro.2010.01.199
Bajdich, Michal, Kolorenc, Jindrich, Mitas, Lubos, and Reynolds, P. J. 2010. "Pairing in Cold Atoms and other Applications for Quantum Monte Carlo methods". United States. https://doi.org/10.1016/j.phpro.2010.01.199.
@article{osti_1049146,
title = {Pairing in Cold Atoms and other Applications for Quantum Monte Carlo methods},
author = {Bajdich, Michal and Kolorenc, Jindrich and Mitas, Lubos and Reynolds, P. J.},
abstractNote = {We discuss the importance of the fermion nodes for the quantum Monte Carlo (QMC) methods and find two cases of the exact nodes. We describe the structure of the gen- eralized pairing wave functions in Pfaffian antisymmetric form and demonstrate their equivalency with certain class of configuration interaction wave functions. We present the QMC calculations of a model fermion system at unitary limit. We find the system to have the energy of E = 0.425Efree and the condensate fraction of = 0.48. Further we also perform the QMC calculations of the potential energy surface and the electric dipole moment along that surface of the LiSr molecule. We estimate the vibrationally averaged dipole moment to be D =0 = 0.4(2).},
doi = {10.1016/j.phpro.2010.01.199},
url = {https://www.osti.gov/biblio/1049146}, journal = {Physics Procedia},
issn = {1875-3892},
number = 3,
volume = 3,
place = {United States},
year = {Fri Jan 01 00:00:00 EST 2010},
month = {Fri Jan 01 00:00:00 EST 2010}
}