Vortex state in a Bose-Fermi mixture with attraction between bosons and fermions

Journal Article · Mon May 15 04:00:00 EDT 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.73.0· OSTI ID:20787289

Belemuk, A M; Chtchelkatchev, N M; Ryzhov, V N; Chui, S -T ^[1]

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1. Institute for High Pressure Physics, Russian Academy of Sciences, Troitsk 142190, Moscow Region (Russian Federation)

An effective Hamiltonian for the Bose subsystem for the mixture of ultracold atomic clouds of bosons and fermions is obtained by integrating out the fermion degrees of freedom. Using the effective Hamiltonian, a collapse of the trapped boson-fermion mixture due to the boson-fermion attractive interaction without and in the presence of the quantized vortices is studied in the framework of variational Bose wave function and Thomas-Fermi approximation. The properties of the {sup 87}Rb and {sup 40}K mixture are analyzed quantitatively. The critical number of bosons for the collapse transition is estimated without and in the presence of the vortices as a function of the fermion number. It is shown that the critical number of bosons increases in the presence of the vortex. The vortex critical velocities are calculated as functions of the numbers of bosons and fermions.

• OSTI ID: 20787289
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 73; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
APPROXIMATIONS
BOSE-EINSTEIN CONDENSATION
BOSONS
CRITICAL VELOCITY
DEGREES OF FREEDOM
FERMIONS
HAMILTONIANS
MIXTURES
POTASSIUM 40
RUBIDIUM 87
THOMAS-FERMI MODEL
TRAPPING
VARIATIONAL METHODS
VORTICES
WAVE FUNCTIONS