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We compute the the Bogoliubov-de-Gennes excitation spectrum in a trappedtwo-component spin-orbit-coupled (SOC) Bose-Einstein condensate (BEC) inquasi-two-dimensions as a function of linear and angular momentum and analysethem. The excitation spectrum exhibits a minima-like feature at finite momentumfor the immiscible SOC-BEC configuration. We augment these results by computingthe dynamic structure factor in the density and pseudo-spin sector, and discussits interesting features that can be experimentally measured through Braggspectroscopy of such ultra cold-condensate.

Bogoliubov spectrum and the dynamic structure factor in a quasi-two-dimensional spin-orbit coupled BEC