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Title: Multiconfigurational Hartree-Fock theory for identical bosons in a double well

Abstract

Multiconfigurational Hartree-Fock theory is presented and implemented in an investigation of the fragmentation of a Bose-Einstein condensate made of identical bosonic atoms in a double-well potential at zero temperature. The approach builds in the effects of the condensate mean field and of atomic correlations by describing generalized many-body states that are composed of multiple configurations which incorporate atomic interactions. Nonlinear and linear optimization is utilized in conjunction with the variational and Hylleraas-Undheim theorems to find the optimal ground and excited states of the interacting system. The resulting energy spectrum and associated eigenstates are presented as a function of double-well barrier height. Delocalized and localized single configurational states are found in the extreme limits of the simple and fragmented condensate ground states, while multiconfigurational states and macroscopic quantum superposition states are revealed throughout the full extent of barrier heights. Comparison is made to existing theories that either neglect mean field or correlation effects and it is found that contributions from both interactions are essential in order to obtain a robust microscopic understanding of the condensate's atomic structure throughout the fragmentation process.

Authors:
 [1];  [2];  [1];  [3]
  1. Department of Chemistry, University of Washington, Seattle, Washington 98195-1700 (United States)
  2. Department of Physics, University of Washington, Seattle, Washington 98195-1560 (United States)
  3. (United States)
Publication Date:
OSTI Identifier:
20786361
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 72; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.72.063624; (c) 2005 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; ATOMS; BOSE-EINSTEIN CONDENSATION; BOSONS; COMPARATIVE EVALUATIONS; CORRELATIONS; DISSOCIATION; EIGENSTATES; ENERGY SPECTRA; EXCITED STATES; GROUND STATES; HARTREE-FOCK METHOD; MANY-BODY PROBLEM; MEAN-FIELD THEORY; NONLINEAR PROBLEMS; OPTIMIZATION; POTENTIALS; VARIATIONAL METHODS

Citation Formats

Masiello, D., McKagan, S. B., Reinhardt, W. P., and Department of Physics, University of Washington, Seattle, Washington 98195-1560. Multiconfigurational Hartree-Fock theory for identical bosons in a double well. United States: N. p., 2005. Web. doi:10.1103/PHYSREVA.72.0.
Masiello, D., McKagan, S. B., Reinhardt, W. P., & Department of Physics, University of Washington, Seattle, Washington 98195-1560. Multiconfigurational Hartree-Fock theory for identical bosons in a double well. United States. doi:10.1103/PHYSREVA.72.0.
Masiello, D., McKagan, S. B., Reinhardt, W. P., and Department of Physics, University of Washington, Seattle, Washington 98195-1560. Thu . "Multiconfigurational Hartree-Fock theory for identical bosons in a double well". United States. doi:10.1103/PHYSREVA.72.0.
@article{osti_20786361,
title = {Multiconfigurational Hartree-Fock theory for identical bosons in a double well},
author = {Masiello, D. and McKagan, S. B. and Reinhardt, W. P. and Department of Physics, University of Washington, Seattle, Washington 98195-1560},
abstractNote = {Multiconfigurational Hartree-Fock theory is presented and implemented in an investigation of the fragmentation of a Bose-Einstein condensate made of identical bosonic atoms in a double-well potential at zero temperature. The approach builds in the effects of the condensate mean field and of atomic correlations by describing generalized many-body states that are composed of multiple configurations which incorporate atomic interactions. Nonlinear and linear optimization is utilized in conjunction with the variational and Hylleraas-Undheim theorems to find the optimal ground and excited states of the interacting system. The resulting energy spectrum and associated eigenstates are presented as a function of double-well barrier height. Delocalized and localized single configurational states are found in the extreme limits of the simple and fragmented condensate ground states, while multiconfigurational states and macroscopic quantum superposition states are revealed throughout the full extent of barrier heights. Comparison is made to existing theories that either neglect mean field or correlation effects and it is found that contributions from both interactions are essential in order to obtain a robust microscopic understanding of the condensate's atomic structure throughout the fragmentation process.},
doi = {10.1103/PHYSREVA.72.0},
journal = {Physical Review. A},
number = 6,
volume = 72,
place = {United States},
year = {Thu Dec 15 00:00:00 EST 2005},
month = {Thu Dec 15 00:00:00 EST 2005}
}