Numerical methods for atomic quantum gases with applications to Bose–Einstein condensates and to ultracold fermions

A Minguzzi, S Succi, F Toschi, MP Tosi, P Vignolo - Physics reports, 2004 - Elsevier
The achievement of Bose–Einstein condensation in ultra-cold vapours of alkali atoms has
given enormous impulse to the study of dilute atomic gases in condensed quantum states …

[PDF][PDF] Computational physics

M Hjorth-Jensen - 2007 - digitallibrary.srisathyasaicollege.in
So, ultimately, in order to understand nature it may be necessary to have a deeper
understanding of mathematical relationships. But the real reason is that the subject is …

Correlation effects in the ground state of trapped atomic Bose gases

W Purwanto, S Zhang - Physical Review A—Atomic, Molecular, and Optical …, 2005 - APS
We study the effects of many-body correlations in trapped ultracold atomic Bose gases. We
calculate the ground state of the gas using a ground-state auxiliary-field quantum Monte …

Vortices in atomic bose-einstein condensates in the large-gas-parameter region

JK Nilsen, J Mur-Petit, M Guilleumas… - Physical Review A …, 2005 - APS
In this work we compare the results of the Gross-Pitaevskii and modified Gross-Pitaevskii
equations with ab initio variational Monte Carlo calculations for Bose-Einstein condensates …

Condensate depletion in two-species Bose gases: A variational quantum Monte Carlo study

AR Sakhel, JL DuBois, HR Glyde - Physical Review A—Atomic, Molecular, and …, 2008 - APS
We investigate two-species Bose gases in traps with various interactions using variational
quantum Monte Carlo (VMC) techniques at zero temperature. The bosons are represented …

Application of the static fluctuation approximation to the computation of the thermodynamic properties of an interacting trapped two-dimensional hard-sphere Bose gas

AR Sakhel, SI Qashou, RR Sakhel, HB Ghassib - Physical Review A—Atomic …, 2010 - APS
The static fluctuation approximation (SFA) is applied to compute the thermodynamic
properties of a trapped two-dimensional (2D) interacting hard-sphere (HS) Bose gas in the …

Variational Monte Carlo analysis of Bose–Einstein condensation in a two-dimensional trap

Z Rong-Jie, J Jing, T Yi - Chinese Physics, 2006 - iopscience.iop.org
The ground-state properties of a system with a small number of interacting bosons over a
wide range of densities are investigated. The system is confined in a two-dimensional …

Ground state properties and elementary excitation of 85Rb Bose-Einstein condensate: analytical method for modified Thomas-Fermi model with large-gas-parameter

M Gupta, KR Dastidar - Journal of Physics: Conference Series, 2007 - iopscience.iop.org
Bose-Einstein condensation in trapped gases of 85 Rb atoms can now be obtained in the
large gas-parameter region in presence of Feshbach resonance and the gas density which …

[PDF][PDF] Bose-Einstein condensation in trapped bosons: A quantum Monte Carlo analysis using OpenCL and GPU programming

IU Nikolaisen - 2011 - duo.uio.no
The aim of this thesis is to develop a diffusion Monte Carlo (DMC) and a Variational Monte
Carlo (VMC) program written in OpenCL in order to test the potential for using Graphical …

Tunneling of a few strongly repulsive hard-sphere bosons in an optical lattice with tight external harmonic confinement: A quantum Monte Carlo investigation in …

AR Sakhel, JL Dubois, RR Sakhel - … Review A—Atomic, Molecular, and Optical …, 2010 - APS
The effect of strongly repulsive interactions on the tunneling amplitude of hard-sphere (HS)
bosons confined in a simple cubic optical lattice plus tight external harmonic confinement in …