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Title: Exact numerical simulations of a one-dimensional trapped Bose gas

Abstract

We analyze the ground-state and low-temperature properties of a one-dimensional Bose gas in a harmonic trapping potential using the numerical density-matrix renormalization group. Calculations cover the whole range from the Bogoliubov limit of weak interactions to the Tonks-Girardeau limit. Local quantities such as density and local three-body correlations are calculated and shown to agree very well with analytic predictions within a local-density approximation. The transition between temperature-dominated to quantum-dominated correlation is determined. It is shown that despite the presence of the harmonic trapping potential, first-order 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:
;  [1]
  1. Fachbereich Physik, Technische Universitaet, Kaiserslautern, D-67663 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; BOSE-EINSTEIN GAS; BOSONS; CORRELATIONS; DENSITY FUNCTIONAL METHOD; DENSITY MATRIX; FORECASTING; GROUND STATES; NUMERICAL ANALYSIS; ONE-DIMENSIONAL CALCULATIONS; POTENTIALS; RENORMALIZATION; SIMULATION; TEMPERATURE RANGE 0065-0273 K; THREE-BODY PROBLEM; TRAPPING; TRAPS; WEAK INTERACTIONS

Citation Formats

Schmidt, Bernd, and Fleischhauer, Michael. Exact numerical simulations of a one-dimensional trapped Bose gas. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.021601.
Schmidt, Bernd, & Fleischhauer, Michael. Exact numerical simulations of a one-dimensional trapped Bose gas. United States. doi:10.1103/PHYSREVA.75.021601.
Schmidt, Bernd, and Fleischhauer, Michael. Thu . "Exact numerical simulations of a one-dimensional trapped Bose gas". United States. doi:10.1103/PHYSREVA.75.021601.
@article{osti_20982055,
title = {Exact numerical simulations of a one-dimensional trapped Bose gas},
author = {Schmidt, Bernd and Fleischhauer, Michael},
abstractNote = {We analyze the ground-state and low-temperature properties of a one-dimensional Bose gas in a harmonic trapping potential using the numerical density-matrix renormalization group. Calculations cover the whole range from the Bogoliubov limit of weak interactions to the Tonks-Girardeau limit. Local quantities such as density and local three-body correlations are calculated and shown to agree very well with analytic predictions within a local-density approximation. The transition between temperature-dominated to quantum-dominated correlation is determined. It is shown that despite the presence of the harmonic trapping potential, first-order 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}
}