Two-dimensional boson-fermion mixtures

Details Two-dimensional boson-fermion mixtures Two-dimensional boson-fermion mixtures

2009-07-06

arxiv.org/abs/0907.1096v1

Phys. Rev. A 79, 063632 (2009)

Physics

Condensed Matter

Quantum Gases

9 pages, 4 figures

Scientific paper

10.1103/PhysRevA.79.063632

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 towards spatial demixing.

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