Research Papers in Physics and Astronomy


Date of this Version

July 1998


Published by American Physical Society. Phys. Rev. A 56, 570 (1997). Copyright © 1997 American Physical Society. Permission to use.


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.

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