Physics – Condensed Matter
Scientific paper
2003-01-27
Phys. Rev. A 67, 053605 (2003)
Physics
Condensed Matter
revtex4, 9 pages, 8 postscript files
Scientific paper
10.1103/PhysRevA.67.053605
We calculate the spectrum of low-lying collective excitations in a mesoscopic cloud formed by a Bose-Einstein condensate and a spin-polarized Fermi gas as a function of the boson-fermion repulsions. The cloud is under isotropic harmonic confinement and its dynamics is treated in the collisional regime by using the equations of generalized hydrodynamics with inclusion of surface effects. For large numbers of bosons we find that, as the cloud moves towards spatial separation (demixing) with increasing boson-fermion coupling, the frequencies of a set of collective modes show a softening followed by a sharp upturn. This behavior permits a clear identification of the quantum phase transition. We propose a physical interpretation for the dynamical transition point in a confined mixture, leading to a simple analytical expression for its location.
Capuzzi Pablo
Minguzzi Anna
Tosi Mario P.
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