Bose-Einstein condensation in trapped bosons: A Variational Monte Carlo analysis
arXiv:cond-mat/0008368 · doi:10.1103/PhysRevA.63.023602
Abstract
Several properties of trapped hard sphere bosons are evaluated using variational Monte Carlo techniques. A trial wave function composed of a renormalized single particle Gaussian and a hard sphere Jastrow function for pair correlations is used to study the sensitivity of condensate and non-condensate properties to the hard sphere radius and the number of particles. Special attention is given to diagonalizing the one body density matrix and obtaining the corresponding single particle natural orbitals and their occupation numbers for the system. The condensate wave function and condensate fraction are then obtained from the single particle orbital with highest occupation. The effect of interaction on other quantities such as the ground state energy, the mean radial displacement, and the momentum distribution are calculated as well. Results are compared with Mean Field theory in the dilute limit.
11 pages, 10 figures, latex, revtex4b
References in corpus (1)
Cited by in corpus (41)
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Ground state properties of a one-dimensional condensate of hard core bosons in a harmonic trap
- Few-body physics with ultracold atomic and molecular systems in traps
- Ultracold Dipolar Gases in Optical Lattices
- Comparing and contrasting nuclei and cold atomic gases
- Quantum Monte Carlo method for the ground state of many-boson systems
- Quantum corrections to the ground state energy of a trapped Bose-Einstein condensate: A diffusion Monte Carlo calculation
- Dzyaloshinskii-Moriya anisotropy and non-magnetic impurities in the kagome system ZnCu_3(OH)_6Cl_2
- Helium nanodroplets and trapped Bose-Einstein condensates as prototypes of finite quantum fluids
- Bose-Einstein-condensed gases in arbitrarily strong random potentials
- Bose-Einstein-condensed gases with arbitrary strong interactions
- Natural Orbitals and BEC in traps, a diffusion Monte Carlo analysis
- Fermionization of a bosonic gas under highly-elongated confinement: A diffusion quantum Monte Carlo study
- Correlation effects in the ground state of trapped atomic Bose gases
- Structure, Bose-Einstein condensation and superfluidity of two-dimensional confined dipolar assemblies
- Trapped two-component Fermi gases with up to six particles: Energetics, structural properties, and molecular condensate fraction
- Mesoscopic supersolid of dipoles in a trap
- Vortices in Atomic Bose-Einstein Condensates in the Large Gas Parameter Region
- Quantum Monte Carlo study of quasi-one-dimensional Bose gases
- Ground state of a homogeneous Bose gas of hard spheres
- Universal Two-Body Spectra of Ultracold Harmonically Trapped Atoms in Two and Three Dimensions
- The free surface of superfluid 4He at zero temperature
- Occupation numbers of the harmonically trapped few-boson system
- Condensate fraction of cold gases in non-uniform external potential
- Condensate depletion in two-species Bose gases: A variational Quantum Monte Carlo study
- On the Use of Group Theoretical and Graphical Techniques toward the Solution of the General N-body Problem
- Analytic, Group-Theoretic Density Profiles for Confined, Correlated N-Body Systems
- Trapped Bose gases with large positive scattering length
- Bose atoms in a trap: a variational Monte Carlo formulation for the universal behavior at the Van der Waals length scale
- MontePython: Implementing Quantum Monte Carlo using Python
- Trapped Bose-Bose mixtures at finite temperature: a quantum Monte Carlo approach
- Condensate-profile asymmetry of a boson mixture in a disk-shaped harmonic trap
- Dilute Bose gases interacting via power-law potentials
- Bose-Einstein condensation of correlated atoms in a trap
- Bosonic Particle-Correlated States: A Nonperturbative Treatment Beyond Mean Field
- Local condensate depletion at trap center under strong interactions
- Universality in Ultra-Cold Few- and Many-Boson Systems
- Tunneling of a few strongly repulsive hard-sphere bosons in an optical lattice with tight external harmonic confinement: A quantum Monte Carlo investigation in continuous space
- Particle Correlations in Bose-Einstein Condensates
- Global and local condensate and superfluid fraction of a few hard core bosons in a cubic optical lattice plus external harmonic confinement
- Density functional theory of a trapped Bose gas with tunable scattering length: from weak-coupling to unitarity