3 February 2004 General expression of chemical potential for Bose Einstein condensate in an anisotropic magnetic trap
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Abstract
A general expression for the chemical potential, μ, of Bose Einstein condensate in any form of the magnetic trap has been derived without resorting to any approximation regarding the number of particles in the condensate. Specific expression for μ has been deduced when the form of the magnetic trap corresponds to a right circular cylinder. Computations on the chemical potential, the speed of sound, healing length, interparticle separation in the core of the condensate, energy and the correlation length of the condensate have been made for different number of 87 Rb atoms ranging from hundred to ten million particles in the Bose Einstein condensate and compared with the corresponding results of numerically evaluated GPG equation and other approximate results wherever possible.
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Shri-Prakash Tewari, Shri-Prakash Tewari, Poonam Silotia , Poonam Silotia , Aditya Saxena, Aditya Saxena, "General expression of chemical potential for Bose Einstein condensate in an anisotropic magnetic trap", Proc. SPIE 5161, Quantum Communications and Quantum Imaging, (3 February 2004); doi: 10.1117/12.512323; https://doi.org/10.1117/12.512323
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