We present a generalization of fermionic fluiddynamics to the case of two trapped fermion species with a contact interaction. Within a mean field approximation, we derive coupled equations of motion for the particle densities, particle currents, and anomalous pair density. For an inhomogeneous system, the equilibrium situation with vanishing currents is described by a generalized Thomas-Fermi relation that includes the superfluid gap, together with a new nonlocal gap equation that replaces the usual BCS one. These equations are numericaly solved resorting to a local density approximation (LDA). Density and gap profiles are analyzed in terms of the scattering length, revealing that the current frame can exhibit microscopic details of quantum origin that are frequently absent in more macroscopic scenarios. © 2009 IOP Publishing Ltd.
Documento: | Conferencia |
Título: | Superfluid Thomas - Fermi approximation for trapped fermi gases |
Autor: | Hernndez, S.; Capuzzi, P.; Szybisz, L. |
Filiación: | Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina Departamento de Física, Comisión Nacional de Energía Atómica, 1428 Buenos Aires, Argentina |
Palabras clave: | Electron gas; Equations of motion; Fermions; Contact interaction; Inhomogeneous system; Mean field approximation; Particle currents; Particle densities; Scattering length; Thomas-Fermi approximation; Trapped fermi gas; Local density approximation |
Año: | 2009 |
Volumen: | 150 |
Número: | 3 |
DOI: | http://dx.doi.org/10.1088/1742-6596/150/3/032028 |
Título revista: | Journal of Physics: Conference Series |
Título revista abreviado: | J. Phys. Conf. Ser. |
ISSN: | 17426588 |
PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_17426588_v150_n3_p_Hernndez.pdf |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v150_n3_p_Hernndez |