Exact numerical simulations of a onedimensional trapped Bose gas
Abstract
We analyze the groundstate and lowtemperature properties of a onedimensional Bose gas in a harmonic trapping potential using the numerical densitymatrix renormalization group. Calculations cover the whole range from the Bogoliubov limit of weak interactions to the TonksGirardeau limit. Local quantities such as density and local threebody correlations are calculated and shown to agree very well with analytic predictions within a localdensity approximation. The transition between temperaturedominated to quantumdominated correlation is determined. It is shown that despite the presence of the harmonic trapping potential, firstorder correlations display, over a large range, the algebraic decay of a harmonic fluid with a Luttinger parameter determined by the density at the trap center.
 Authors:
 Fachbereich Physik, Technische Universitaet, Kaiserslautern, D67663 Kaiserslautern (Germany)
 Publication Date:
 OSTI Identifier:
 20982055
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.75.021601; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; BOSEEINSTEIN GAS; BOSONS; CORRELATIONS; DENSITY FUNCTIONAL METHOD; DENSITY MATRIX; FORECASTING; GROUND STATES; NUMERICAL ANALYSIS; ONEDIMENSIONAL CALCULATIONS; POTENTIALS; RENORMALIZATION; SIMULATION; TEMPERATURE RANGE 00650273 K; THREEBODY PROBLEM; TRAPPING; TRAPS; WEAK INTERACTIONS
Citation Formats
Schmidt, Bernd, and Fleischhauer, Michael. Exact numerical simulations of a onedimensional trapped Bose gas. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVA.75.021601.
Schmidt, Bernd, & Fleischhauer, Michael. Exact numerical simulations of a onedimensional trapped Bose gas. United States. doi:10.1103/PHYSREVA.75.021601.
Schmidt, Bernd, and Fleischhauer, Michael. Thu .
"Exact numerical simulations of a onedimensional trapped Bose gas". United States.
doi:10.1103/PHYSREVA.75.021601.
@article{osti_20982055,
title = {Exact numerical simulations of a onedimensional trapped Bose gas},
author = {Schmidt, Bernd and Fleischhauer, Michael},
abstractNote = {We analyze the groundstate and lowtemperature properties of a onedimensional Bose gas in a harmonic trapping potential using the numerical densitymatrix renormalization group. Calculations cover the whole range from the Bogoliubov limit of weak interactions to the TonksGirardeau limit. Local quantities such as density and local threebody correlations are calculated and shown to agree very well with analytic predictions within a localdensity approximation. The transition between temperaturedominated to quantumdominated correlation is determined. It is shown that despite the presence of the harmonic trapping potential, firstorder correlations display, over a large range, the algebraic decay of a harmonic fluid with a Luttinger parameter determined by the density at the trap center.},
doi = {10.1103/PHYSREVA.75.021601},
journal = {Physical Review. A},
number = 2,
volume = 75,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}

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