General expression of chemical potential for Bose Einstein condensate in an anisotropic magnetic trap

Shri-Prakash Tewari; Poonam Silotia; Aditya Saxena

doi:10.1117/12.512323

3 February 2004 General expression of chemical potential for Bose Einstein condensate in an anisotropic magnetic trap

Shri-Prakash Tewari, Poonam Silotia , Aditya Saxena

Proceedings Volume 5161, Quantum Communications and Quantum Imaging; (2004) https://doi.org/10.1117/12.512323
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

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.

Citation Download Citation

Shri-Prakash Tewari, Poonam Silotia , and 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); https://doi.org/10.1117/12.512323

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