Fermionization of a bosonic gas under highly-elongated confinement: A diffusion quantum Monte Carlo study

TL;DR

This study uses diffusion quantum Monte Carlo to investigate how a bosonic gas transitions to fermionization as it is confined in increasingly elongated traps, explicitly including many-body correlations.

Contribution

It provides a nonperturbative, fully quantum mechanical analysis of the fermionization process in bosonic gases under highly elongated confinement.

Findings

Bosonic gas undergoes fermionization at large aspect ratios.

Transition from 3D to 1D regime characterized.

Many-body correlations are explicitly included.

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.