Fermionization of a bosonic gas under highly-elongated confinement: A diffusion quantum Monte Carlo study
arXiv:cond-mat/0206244 · doi:10.1103/PhysRevA.66.053613
Abstract
The diffusion quantum Monte Carlo technique is used to solve the many-body Schroedinger equation fully quantum mechanically and nonperturbatively for bosonic atomic gases in cigar-shaped confining potentials. By varying the aspect ratio of the confining potential from 1 (spherical trap) to 10000 (highly elongated trap), we characterize the transition from the three-dimensional regime to the (quasi-)one-dimensional regime. Our results confirm that the bosonic gas undergoes ``fermionization'' for large aspect ratios. Importantly, many-body correlations are included explicitly in our approach.
10 pages, 8 figures
References in corpus (6)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Formation and Propagation of Matter Wave Soliton Trains
- Effective wave-equations for the dynamics of cigar-shaped and disc-shaped Bose condensates
- Collective oscillations of a 1D trapped Bose gas
- Quantum Monte Carlo study of the 3D-1D crossover for a trapped Bose gas
- Crossover from one to three dimensions for a gas of hard-core bosons
Cited by in corpus (22)
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- One-dimensional Bosons in Three-dimensional Traps
- One-dimensional mixtures of several ultracold atoms: a review
- Correlation functions and momentum distribution of one-dimensional Bose systems
- Pathway from condensation via fragmentation to fermionization of cold bosonic systems
- Evolution from a Bose-Einstein condensate to a Tonks-Girardeau gas: An exact diagonalization study
- Quasi-one-dimensional Bose gases with large scattering length
- Irregular Dynamics in a One-Dimensional Bose System
- Hydrodynamic modes of a 1D trapped Bose gas
- Natural Orbitals and BEC in traps, a diffusion Monte Carlo analysis
- Excitations of Few-Boson Systems in 1-D Harmonic and Double Wells
- Quantum Monte Carlo study of the 3D-1D crossover for a trapped Bose gas
- Correlation versus commensurability effects for finite bosonic systems in one-dimensional lattices
- Quantum Monte Carlo study of quasi-one-dimensional Bose gases
- Beyond mean-field dynamics of ultra-cold bosonic atoms in higher dimensions: facing the challenges with a multi-configurational approach
- Quantum dynamics of two bosons in an anharmonic trap: Collective vs internal excitations
- On the Use of Group Theoretical and Graphical Techniques toward the Solution of the General N-body Problem
- State diagram for continuous quasi-one dimensional systems in optical lattices
- A continuous model for bosonic hard spheres in quasi one-dimensional optical lattices
- Zero-temperature phase diagram of hard sphere bosons in asymmetric three dimensional optical lattices
- Ultracold bosons in one-dimensional harmonic and multi-well traps: a Quantum Monte Carlo vs a correlated pair approach
- Strong interaction induced dimensional crossover in 1D quantum gas