Two-dimensional boson-fermion mixtures

Date
2009
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Source Title
Physical Review A - Atomic, Molecular, and Optical Physics
Print ISSN
10502947
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Volume
79
Issue
6
Pages
Language
English
Type
Article
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Abstract

Using mean-field theory, we study the equilibrium properties of boson-fermion mixtures confined in a harmonic pancake-shaped trap at zero temperature. When the modulus of the s -wave scattering lengths are comparable to the mixture thickness, two-dimensional scattering events introduce a logarithmic dependence on density in the coupling constants, greatly modifying the density profiles themselves. We show that, for the case of a negative boson-fermion three-dimensional s -wave scattering length, the dimensional crossover stabilizes the mixture against collapse and drives it toward spatial demixing. © 2009 The American Physical Society.

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Keywords
Boson fermions, Boson-fermion mixtures, Coupling constants, De-mixing, Density profile, Dimensional crossover, Equilibrium properties, Logarithmic dependence, S-wave scattering lengths, Two-dimensional scattering, Zero temperatures, Bosons, Electromagnetic wave scattering, Fermions, Mean field theory, Shear waves, Two dimensional, Mixtures
Citation
Published Version (Please cite this version)