Abstract
We consider the Gross-Pitaevskii(GP) model of a Bose-Einstein Condensate(BEC) with non-local s-wave interactions. The non-locality is represented by corrections to the local GP equation. Due to such corrections to the GP equation, there arise corrections to the free energy functional as well. We present here a proof of the exact correspondence between the free energy and the dynamics for typical terms appearing while considering corrections to the GP equation at any order. This non-trivial correspondence can be used to study BECs perturbatively while going beyond the Fermi pseudopotential.
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Acknowledgments
I would like to thank my thesis supervisor Dr. Arijit Bhattacharyay for the discussions and help provided to give structure to this work. I would also like to acknowledge the support provided by the Council of Scientific and Industrial Research(CSIR), India.
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Pendse, A. Long-Range S-Wave Interactions in Bose-Einstein Condensates: An Exact Correspondence Between Truncated Free Energy and Dynamics. Int J Theor Phys 56, 2081–2085 (2017). https://doi.org/10.1007/s10773-017-3351-5
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DOI: https://doi.org/10.1007/s10773-017-3351-5