Correlation functions and momentum distribution of one-dimensional Bose systems

Journal Article · Mon Sep 01 04:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.68.031602· OSTI ID:20640136

Astrakharchik, G E; Giorgini, S ^[1]

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1. Dipartimento di Fisica and BEC-INFM, Universita di Trento, I-38050 Povo, (Italy)

The ground-state correlation properties of a one-dimensional Bose system described by the Lieb-Liniger Hamiltonian are investigated by using exact quantum Monte Carlo techniques. The pair distribution function, static structure factor, one-body density matrix, and momentum distribution of a homogeneous system are calculated for different values of the gas parameter ranging from the Tonks-Girardeau to the mean-field regime. Results for the momentum distribution of a harmonically trapped gas in configurations relevant to experiments are also presented.

• OSTI ID: 20640136
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 68; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BOSONS
CONFIGURATION
CORRELATION FUNCTIONS
CORRELATIONS
DENSITY MATRIX
DISTRIBUTION
DISTRIBUTION FUNCTIONS
GROUND STATES
HAMILTONIANS
MEAN-FIELD THEORY
MONTE CARLO METHOD
ONE-DIMENSIONAL CALCULATIONS
STRUCTURE FACTORS
TRAPPING