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Lattice bosons in quartic confinement
Authors:R. Ramakumar  A. N. Das
Affiliation:(1) Department of Physics and Astrophysics, University of Delhi, Delhi, 110007, India;(2) Theoretical Condensed Matter Physics Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata, 700064, India
Abstract:
We present a theoretical study of bose condensation of non-interacting bosons in finite lattices in quartic potentials in one, two, and three dimensions. We investigate dimensionality effects and quartic potential effects on single boson density of energy states, condensation temperature, condensate fraction, and specific heat. The results obtained are compared with corresponding results for lattice bosons in harmonic traps.
Keywords:03.75.Lm Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations  03.75.Nt Other Bose-Einstein condensation phenomena  03.75.Hh Static properties of condensates   thermodynamical, statistical, and structural properties
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