Pure pairing modes in trapped fermion systems
We present numerical predictions for the shape of the pairing fluctuations in harmonically trapped atomic 6Li with two spin projections, based on the fluiddynamical description of cold fermions with pairing interactions. In previous works it has been shown that when the equilibrium of a symmetric mi...
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todo:paper_00222291_v171_n3-4_p362_Capuzzi2023-10-03T14:28:41Z Pure pairing modes in trapped fermion systems Capuzzi, P. Hernández, E.S. Szybisz, L. Fermion superfluid Harmonic confinement Massive mode Pairing fluctuations Harmonic confinement Kinetic energy density Massive mode Numerical predictions Pairing fluctuations Particle kinetic energy Relaxation time scale Transport coefficient Heat flux Kinetic energy Kinetics Spin fluctuations Diffusion in liquids We present numerical predictions for the shape of the pairing fluctuations in harmonically trapped atomic 6Li with two spin projections, based on the fluiddynamical description of cold fermions with pairing interactions. In previous works it has been shown that when the equilibrium of a symmetric mixture is perturbed, the linearized fluiddynamic equations decouple into two sets, one containing the sound mode of fermion superfluids and the other the pairing mode. The latter corresponds to oscillations of the modulus of the complex gap and is driven by the kinetic energy densities of the particles and of the pairs. Assuming proportionality between the heat flux and the energy gradient, the particle kinetic energy undergoes a diffusive behavior and the diffusion parameter is the key parameter for the relaxation time scale. We examine a possible range of values for this parameter and find that the shape of the pairing oscillation is rather insensitive to the precise value of the transport coefficient. Moreover, the pairing fluctuation is largely confined to the center of the trap, and the energy of the pairing mode is consistent with the magnitude of the equilibrium gap. © Springer Science+Business Media, LLC 2012. Fil:Capuzzi, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Hernández, E.S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Szybisz, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00222291_v171_n3-4_p362_Capuzzi |
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Universidad de Buenos Aires |
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I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Fermion superfluid Harmonic confinement Massive mode Pairing fluctuations Harmonic confinement Kinetic energy density Massive mode Numerical predictions Pairing fluctuations Particle kinetic energy Relaxation time scale Transport coefficient Heat flux Kinetic energy Kinetics Spin fluctuations Diffusion in liquids |
| spellingShingle |
Fermion superfluid Harmonic confinement Massive mode Pairing fluctuations Harmonic confinement Kinetic energy density Massive mode Numerical predictions Pairing fluctuations Particle kinetic energy Relaxation time scale Transport coefficient Heat flux Kinetic energy Kinetics Spin fluctuations Diffusion in liquids Capuzzi, P. Hernández, E.S. Szybisz, L. Pure pairing modes in trapped fermion systems |
| topic_facet |
Fermion superfluid Harmonic confinement Massive mode Pairing fluctuations Harmonic confinement Kinetic energy density Massive mode Numerical predictions Pairing fluctuations Particle kinetic energy Relaxation time scale Transport coefficient Heat flux Kinetic energy Kinetics Spin fluctuations Diffusion in liquids |
| description |
We present numerical predictions for the shape of the pairing fluctuations in harmonically trapped atomic 6Li with two spin projections, based on the fluiddynamical description of cold fermions with pairing interactions. In previous works it has been shown that when the equilibrium of a symmetric mixture is perturbed, the linearized fluiddynamic equations decouple into two sets, one containing the sound mode of fermion superfluids and the other the pairing mode. The latter corresponds to oscillations of the modulus of the complex gap and is driven by the kinetic energy densities of the particles and of the pairs. Assuming proportionality between the heat flux and the energy gradient, the particle kinetic energy undergoes a diffusive behavior and the diffusion parameter is the key parameter for the relaxation time scale. We examine a possible range of values for this parameter and find that the shape of the pairing oscillation is rather insensitive to the precise value of the transport coefficient. Moreover, the pairing fluctuation is largely confined to the center of the trap, and the energy of the pairing mode is consistent with the magnitude of the equilibrium gap. © Springer Science+Business Media, LLC 2012. |
| format |
JOUR |
| author |
Capuzzi, P. Hernández, E.S. Szybisz, L. |
| author_facet |
Capuzzi, P. Hernández, E.S. Szybisz, L. |
| author_sort |
Capuzzi, P. |
| title |
Pure pairing modes in trapped fermion systems |
| title_short |
Pure pairing modes in trapped fermion systems |
| title_full |
Pure pairing modes in trapped fermion systems |
| title_fullStr |
Pure pairing modes in trapped fermion systems |
| title_full_unstemmed |
Pure pairing modes in trapped fermion systems |
| title_sort |
pure pairing modes in trapped fermion systems |
| url |
http://hdl.handle.net/20.500.12110/paper_00222291_v171_n3-4_p362_Capuzzi |
| work_keys_str_mv |
AT capuzzip purepairingmodesintrappedfermionsystems AT hernandezes purepairingmodesintrappedfermionsystems AT szybiszl purepairingmodesintrappedfermionsystems |
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1807321533495902208 |