Model for Motions of Impurities in Bose-Einstein Condensates
Jun Suzuki
Abstract
A model for classical impurities moving in Bose-Einstein Condensate (BEC) is proposed in the framework of quantum field theory and is solved within the Bogoliubov approximation at zero temperature. Several formulae are obtained for physical quantities such as the occupation number, the dissipation, the free energy, and the depletion. To illustrate this model two examples are studied; an impurity moving with i) a constant velocity and ii) a constant acceleration. Landau's criterion for energy dissipation accompanying the motion of impurities due to creation of quasi-particles in a superfluid, which was proposed on the basis of purely phenomenological argument, is obtained in the frame work of an exact quantum mechanical model.
Create a lesson
Related papers
Real-Space renormalization for the drawups and drawdowns of stochastic trajectories: universality classes for diffusion processes and random walks via the scale function
Cecile Monthus
Stochastic synthesis and degradation of arbitrary diffusive processes
Denis Boyer, Gabriel Mercado-Vásquez
Critical amplitudes of the Baxter-Wu model from MCPA and Wolff simulations: free-exponent and fixed-exponent fits
Vyacheslav Mozolenko, Ian Pile, Lev Shchur
Capillary Coarsening Drives Re-entrant Statistical Transitions in Early Coffee-Ring Growth
Arundas Chandradasan, Dileep Mampallil
Maximum entropy explanation for the ubiquity of power-law mechanical responses
Sverre Holm
Thermodynamic Bethe Ansatz for the Toda chain from inverse scattering transform
Alberto Brollo