Exact numerical simulations of a one-dimensional trapped Bose gas

Journal Article · Thu Feb 15 00:00:00 EST 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.75.021601· OSTI ID:20982055

Schmidt, Bernd; Fleischhauer, Michael ^[1]

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1. Fachbereich Physik, Technische Universitaet, Kaiserslautern, D-67663 Kaiserslautern (Germany)

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.

• OSTI ID: 20982055
• Journal Information: Physical Review. A, Vol. 75, Issue 2; Other Information: DOI: 10.1103/PhysRevA.75.021601; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

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