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arXiv:cond-mat/0409070 · Physics Letters A

Collective oscillations in two-dimensional Bose–Einstein condensate

Arup Banerjee

Published Oct 7, 2004• 4 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2004.08.065

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The collective oscillations of the trapped Bose Einstein Condensate (BEC) are studied using the computational model of the Gross Pitaevskii Equation, the nonlinear Schroedinger equation describing the BEC dynamics. Typical examples of the 3 dimensional BEC for both spherical and axial symmetry showed that the collective BEC oscillations can be stimulated by its growth. A frequency analysis of the oscillations is presented. The numerical simulation showed that the collective BEC oscillations are damped by the interaction of the BEC and the noncondensate Bose gas at a nonzero temperature.
We explore the formation and collective modes of Bose-Einstein condensate of Dirac magnons (Dirac BEC).While we focus on two-dimensional Dirac magnons, an employed approach is general and could be used to describe Bose-Einstein condensates with linear quasiparticle spectrum in various systems.By using a phenomenological multicomponent model of pumped boson population together with bosons residing at Dirac nodes, the formation and time evolution of condensates of Dirac bosons is investigated.The condensate coherence and its multicomponent nature are manifested in the Rabi oscillations whose period is determined by the gap in the spin-wave spectrum.A Dirac nature of the condensates could be also probed by the spectrum of collective modes.It is shown that the Haldane gap provides an efficient means to tune between the gapped and gapless collective modes as well as controls their stability.