Starting from the full many body Hamiltonian we derive the leading order energy and density asymptotics for the ground state of a dilute, rotating Bose gas in an anharmonic trap in the 'Thomas Fermi' (TF) limit when the Gross-Pitaevskii coupling parameter and/or the rotation velocity tend to infinity. Although the many-body wave function is expected to have a complicated phase, the leading order contribution to the energy can be computed by minimizing a simple functional of the density alone.

The TF limit for rapidly rotating bose gases in anharmonic traps

Correggi, Michele;
2008

Abstract

Starting from the full many body Hamiltonian we derive the leading order energy and density asymptotics for the ground state of a dilute, rotating Bose gas in an anharmonic trap in the 'Thomas Fermi' (TF) limit when the Gross-Pitaevskii coupling parameter and/or the rotation velocity tend to infinity. Although the many-body wave function is expected to have a complicated phase, the leading order contribution to the energy can be computed by minimizing a simple functional of the density alone.
2008
Settore MAT/07 - Fisica Matematica
Physics and astronomy (all); statistical and nonlinear physics; mathematical physics; ground-state energy; Thomas-Fermi; atoms; derivation; dilute
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/79621
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