Dispersion relation and excitation character of a two-component Bose-Einstein condensate

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We present a study for the dispersion relation and character of the excitations of a single and two component Bose Einstein Condensate (BEC). We study the single component dispersion for a finite BEC system and look at examples of quasiparticles to understand and characterize the dispersion relation. Next we present the dispersion relation for a two component BEC in both the miscible and immiscible parameter regimes. Then we present examples of the quasiparticles for both regimes.