Elementary excitation spectrum of a trapped weakly interacting Bose-Einstein condensate

Authors

Mircea Marinescu, University of Nebraska - Lincoln
Anthony F. Starace, University of Nebraska-LincolnFollow

Document Type

Article

Date of this Version

July 1998

Comments

Published by American Physical Society. Phys. Rev. A 56, 570 (1997). http://pra.aps.org. Copyright © 1997 American Physical Society. Permission to use.

Abstract

An analytic expression is presented for the elementary excitation spectrum of the Bose-Einstein condensate of a trapped boson system in the weakly interacting, low-density limit. Explicit analytic formulas for the elementary excitation spectrum are obtained for harmonic-oscillator traps. These formulas provide information about the behavior of the elementary excitation levels as a function of the number of atoms and their interaction strength for a given trap geometry. They also provide a low-density benchmark for results of fully numerical calculations.