Condensate wave function of neutral Bose atoms in power-law traps

TL;DR

This paper numerically investigates the condensate wave function of neutral Bose atoms in one-dimensional power-law traps, proposing a new trial wave function that improves ground state energy calculations.

Contribution

It introduces a novel trial wave function for variational calculations, enhancing accuracy over traditional Gaussian functions in power-law trapping potentials.

Findings

The proposed wave function yields lower ground state energy estimates.

Numerical solutions of the Gross-Pitaevskii equation are obtained.

The new trial function outperforms conventional Gaussian approximations.

Abstract

The macroscopic quantum states of a condensed neutral Bose gas in one-dimensional power-law traps are obtained by solving the Gross-Pitaevskii equation numerically. A suitable candidate for a trial wave function for the variational calculation of ground state energy is suggested, and shown that the suggested function produces a lower ground state energy than the conventional Gaussian trial wave function.