Lattice bosons in quartic confinement
R. Ramakumar, A. N. Das
TL;DR
This paper theoretically examines how non-interacting bosons condense in finite lattices with quartic confinement across different dimensions, analyzing effects on energy states, condensation temperature, and thermodynamic properties, and comparing with harmonic traps.
Contribution
It provides a detailed analysis of boson condensation in quartic potentials, highlighting differences from harmonic traps across multiple dimensions.
Findings
Dimensionality significantly affects condensation properties.
Quartic confinement alters energy states and thermodynamics.
Comparison shows notable differences from harmonic trap results.
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.
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