Casimir force on interacting Bose-Einstein condensate
Shyamal Biswas, J. K. Bhattacharjee, Dwipesh Majumder, Kush Saha,, Nabajit Chakravarty
TL;DR
This paper develops an analytic theory for the Casimir force acting on a Bose-Einstein condensate confined between parallel plates, highlighting the dominant role of the mean field from the condensate wave function.
Contribution
It introduces a theoretical framework that accounts for both mean field and quantum fluctuation contributions to the Casimir force in BECs under Dirichlet boundary conditions.
Findings
Mean field part dominates the Casimir force
Analytic expressions derived for the force components
Boundary conditions significantly influence the force behavior
Abstract
We have presented an analytic theory for the Casimir force on a Bose-Einstein condensate (BEC) which is confined between two parallel plates. We have considered Dirichlet boundary conditions for the condensate wave function as well as for the phonon field. We have shown that, the condensate wave function (which obeys the Gross-Pitaevskii equation) is responsible for the mean field part of Casimir force, which usually dominates over the quantum (fluctuations) part of the Casimir force.
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