Extended fluid-dynamics and collective motion of two trapped fermion species with pairing interactions
We extend our earlier fluid-dynamical description of fermion superfluids incorporating the particle energy flow together with the equation of motion for the internal kinetic energy of the pairs. The formal scheme combines a set of equations similar to those of classical hydrodynamics with the equati...
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2011
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222291_v162_n3-4_p274_Hernandez http://hdl.handle.net/20.500.12110/paper_00222291_v162_n3-4_p274_Hernandez |
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paper:paper_00222291_v162_n3-4_p274_Hernandez2023-06-08T14:47:29Z Extended fluid-dynamics and collective motion of two trapped fermion species with pairing interactions Collective spectrum Fermion superfluids Gapped mode Andersons Anomalous densities Bogoliubov Collective motions Collective spectrum Coordinate representations Equation of motion Equilibrium solutions Fermion systems Gap energy Gapped mode Hartree-fock Hierarchy of equations Kinetic energy density Low energies Momentum density Pairing interactions Particle energy Second orders Time dependent Electron energy loss spectroscopy Fluids Kinetic energy Open channel flow Quantum chemistry Vibration analysis Equations of motion We extend our earlier fluid-dynamical description of fermion superfluids incorporating the particle energy flow together with the equation of motion for the internal kinetic energy of the pairs. The formal scheme combines a set of equations similar to those of classical hydrodynamics with the equations of motion for the anomalous density and for its related momentum density and kinetic energy density. This dynamical frame represents a second order truncation of an infinite hierarchy of equations of motion isomorphic to the full time dependent Hartree-Fock-Bogoliubov equations in coordinate representation. We analyze the equilibrium solutions and fluctuations for a homogeneous, unpolarized fermion system of two species, and show that the collective spectrum presents the well-known Anderson-Bogoliubov low energy mode of homogeneous superfluids and a pairing vibration near the gap energy. © 2010 Springer Science+Business Media, LLC. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222291_v162_n3-4_p274_Hernandez http://hdl.handle.net/20.500.12110/paper_00222291_v162_n3-4_p274_Hernandez |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Collective spectrum Fermion superfluids Gapped mode Andersons Anomalous densities Bogoliubov Collective motions Collective spectrum Coordinate representations Equation of motion Equilibrium solutions Fermion systems Gap energy Gapped mode Hartree-fock Hierarchy of equations Kinetic energy density Low energies Momentum density Pairing interactions Particle energy Second orders Time dependent Electron energy loss spectroscopy Fluids Kinetic energy Open channel flow Quantum chemistry Vibration analysis Equations of motion |
| spellingShingle |
Collective spectrum Fermion superfluids Gapped mode Andersons Anomalous densities Bogoliubov Collective motions Collective spectrum Coordinate representations Equation of motion Equilibrium solutions Fermion systems Gap energy Gapped mode Hartree-fock Hierarchy of equations Kinetic energy density Low energies Momentum density Pairing interactions Particle energy Second orders Time dependent Electron energy loss spectroscopy Fluids Kinetic energy Open channel flow Quantum chemistry Vibration analysis Equations of motion Extended fluid-dynamics and collective motion of two trapped fermion species with pairing interactions |
| topic_facet |
Collective spectrum Fermion superfluids Gapped mode Andersons Anomalous densities Bogoliubov Collective motions Collective spectrum Coordinate representations Equation of motion Equilibrium solutions Fermion systems Gap energy Gapped mode Hartree-fock Hierarchy of equations Kinetic energy density Low energies Momentum density Pairing interactions Particle energy Second orders Time dependent Electron energy loss spectroscopy Fluids Kinetic energy Open channel flow Quantum chemistry Vibration analysis Equations of motion |
| description |
We extend our earlier fluid-dynamical description of fermion superfluids incorporating the particle energy flow together with the equation of motion for the internal kinetic energy of the pairs. The formal scheme combines a set of equations similar to those of classical hydrodynamics with the equations of motion for the anomalous density and for its related momentum density and kinetic energy density. This dynamical frame represents a second order truncation of an infinite hierarchy of equations of motion isomorphic to the full time dependent Hartree-Fock-Bogoliubov equations in coordinate representation. We analyze the equilibrium solutions and fluctuations for a homogeneous, unpolarized fermion system of two species, and show that the collective spectrum presents the well-known Anderson-Bogoliubov low energy mode of homogeneous superfluids and a pairing vibration near the gap energy. © 2010 Springer Science+Business Media, LLC. |
| title |
Extended fluid-dynamics and collective motion of two trapped fermion species with pairing interactions |
| title_short |
Extended fluid-dynamics and collective motion of two trapped fermion species with pairing interactions |
| title_full |
Extended fluid-dynamics and collective motion of two trapped fermion species with pairing interactions |
| title_fullStr |
Extended fluid-dynamics and collective motion of two trapped fermion species with pairing interactions |
| title_full_unstemmed |
Extended fluid-dynamics and collective motion of two trapped fermion species with pairing interactions |
| title_sort |
extended fluid-dynamics and collective motion of two trapped fermion species with pairing interactions |
| publishDate |
2011 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222291_v162_n3-4_p274_Hernandez http://hdl.handle.net/20.500.12110/paper_00222291_v162_n3-4_p274_Hernandez |
| _version_ |
1768546478125481984 |