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Generalized quantum hydrodynamics of a trapped dilute Bose gas
Affiliation:1. Istituto Nazionale di Fisica della Materia and Classe di Scienze, Scuola Normale Superiore, I-56126 Pisa, Italy;2. International Centre for Theoretical Physics, I-34014 Trieste, Italy;1. Dipartimento di Fisica, Università della Calabria, Via P. Bucci, Cubo 31C, 87036 Rende, Italia;2. Matière et Systèmes Complexes, Université Paris Diderot – Paris 7, CNRS – UMR 7057, Bâtiment Condorcet, 75013 Paris, France;1. Radiation and Matter Physics Laboratory, Matter Sciences Department, Mohamed-Cherif Messaadia University, P.O. Box 1553, Souk-Ahras, 41000, Algeria;2. Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P.O. Box 12, 23000 Annaba, Algeria;3. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People’s Republic of China;4. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762, USA;5. Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud Islamic University, Riyadh 13318, Saudi Arabia;6. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;7. Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar
Abstract:Quantal kinetic equations for particle and current densities of condensate and non-condensate in a confined Bose-condensed fluid are set up by expansion of the one-body density matrix about its diagonal. A microscopic Landau equation for superfluid flow in the inhomogeneous system is derived. Current-density functional theory in the local (long-wavelength) approximation is then used to propose a unified treatment of various damping mechanisms.
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