skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Control of the dynamics of coupled atomic-molecular Bose-Einstein condensates: Modified Gross-Pitaevskii approach

Abstract

We study the dynamics of the atomic and molecular Bose-Einstein condensates (BECs) of {sup 87}Rb in a spherically symmetric trap coupled by stimulated Raman photoassociation process. Considering the higher order nonlinearity in the atom-atom interaction we analyze the dynamics of the system using coupled modified Gross-Pitaevskii (MGP) equations and compare it with mean-field coupled Gross-Pitaevskii (GP) dynamics. Considerable differences in the dynamics are obtained in these two approaches at large scattering length, i.e., for large values of peak-gas parameter x{sub pk}{>=}10{sup -3}. We show how the dynamics of the coupled system is affected when the atom-molecule and molecule-molecule interactions are considered together with the atom-atom interaction and also when the strengths of these three interactions are increased. The effect of detuning on the efficiency of conversion of atomic fractions into molecules is demonstrated and the feasibility of maximum molecular BEC formation by varying the Raman detuning parameter at different values of time is explored. Thus by varying the Raman detuning and the scattering length for atom-atom interaction one can control the dynamics of the coupled atomic-molecular BEC system. We have also solved coupled Gross-Pitaevskii equations for atomic to molecular condensate formation through magnetic Feshbach resonance in a BEC of {supmore » 85}Rb. We found similar features for oscillations between atomic and molecular condensates noted in previous theoretical study and obtained fairly good agreement with the evolution of total atomic condensate observed experimentally.« less

Authors:
;  [1]
  1. Department of Spectroscopy, Indian Association for the Cultivation of Science, Kolkata 700032 (India)
Publication Date:
OSTI Identifier:
21316455
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 80; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.80.043618; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ATOMS; BOSE-EINSTEIN CONDENSATION; COMPARATIVE EVALUATIONS; CONDENSATES; CONTROL; CONVERSION; EFFICIENCY; EVOLUTION; MEAN-FIELD THEORY; MOLECULE-MOLECULE COLLISIONS; MOLECULES; NONLINEAR PROBLEMS; PHOTOCHEMISTRY; RADIATION PRESSURE; RAMAN EFFECT; RUBIDIUM; RUBIDIUM 85; RUBIDIUM 87; SCATTERING LENGTHS

Citation Formats

Gupta, Moumita, and Dastidar, Krishna Rai. Control of the dynamics of coupled atomic-molecular Bose-Einstein condensates: Modified Gross-Pitaevskii approach. United States: N. p., 2009. Web. doi:10.1103/PHYSREVA.80.043618.
Gupta, Moumita, & Dastidar, Krishna Rai. Control of the dynamics of coupled atomic-molecular Bose-Einstein condensates: Modified Gross-Pitaevskii approach. United States. https://doi.org/10.1103/PHYSREVA.80.043618
Gupta, Moumita, and Dastidar, Krishna Rai. 2009. "Control of the dynamics of coupled atomic-molecular Bose-Einstein condensates: Modified Gross-Pitaevskii approach". United States. https://doi.org/10.1103/PHYSREVA.80.043618.
@article{osti_21316455,
title = {Control of the dynamics of coupled atomic-molecular Bose-Einstein condensates: Modified Gross-Pitaevskii approach},
author = {Gupta, Moumita and Dastidar, Krishna Rai},
abstractNote = {We study the dynamics of the atomic and molecular Bose-Einstein condensates (BECs) of {sup 87}Rb in a spherically symmetric trap coupled by stimulated Raman photoassociation process. Considering the higher order nonlinearity in the atom-atom interaction we analyze the dynamics of the system using coupled modified Gross-Pitaevskii (MGP) equations and compare it with mean-field coupled Gross-Pitaevskii (GP) dynamics. Considerable differences in the dynamics are obtained in these two approaches at large scattering length, i.e., for large values of peak-gas parameter x{sub pk}{>=}10{sup -3}. We show how the dynamics of the coupled system is affected when the atom-molecule and molecule-molecule interactions are considered together with the atom-atom interaction and also when the strengths of these three interactions are increased. The effect of detuning on the efficiency of conversion of atomic fractions into molecules is demonstrated and the feasibility of maximum molecular BEC formation by varying the Raman detuning parameter at different values of time is explored. Thus by varying the Raman detuning and the scattering length for atom-atom interaction one can control the dynamics of the coupled atomic-molecular BEC system. We have also solved coupled Gross-Pitaevskii equations for atomic to molecular condensate formation through magnetic Feshbach resonance in a BEC of {sup 85}Rb. We found similar features for oscillations between atomic and molecular condensates noted in previous theoretical study and obtained fairly good agreement with the evolution of total atomic condensate observed experimentally.},
doi = {10.1103/PHYSREVA.80.043618},
url = {https://www.osti.gov/biblio/21316455}, journal = {Physical Review. A},
issn = {1050-2947},
number = 4,
volume = 80,
place = {United States},
year = {Thu Oct 15 00:00:00 EDT 2009},
month = {Thu Oct 15 00:00:00 EDT 2009}
}