Fermionization of a bosonic gas under highly elongated confinement: A diffusion quantum Monte Carlo study
Abstract
The diffusion quantum Monte Carlo technique is used to solve the many-body Schrödinger 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 10 000 (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.
- Publication:
-
Physical Review A
- Pub Date:
- November 2002
- DOI:
- 10.1103/PhysRevA.66.053613
- arXiv:
- arXiv:cond-mat/0206244
- Bibcode:
- 2002PhRvA..66e3613B
- Keywords:
-
- 03.75.Fi;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 10 pages, 8 figures