Time-dependent Gross-Pitaevskii equation for composite bosons as the strong-coupling limit of the fermionic BCS-RPA approximation
arXiv:cond-mat/0307377 · doi:10.1103/PhysRevA.69.011601
Abstract
The linear response to a space- and time-dependent external disturbance of a system of dilute condensed composite bosons at zero temperature, as obtained from the linearized version of the time-dependent Gross-Pitaevskii equation, is shown to result also from the strong-coupling limit of the time-dependent BCS (or broken-symmetry RPA) approximation for the constituent fermions subject to the same external disturbance. In this way, it is possible to connect excited-state properties of the bosonic and fermionic systems by placing the Gross-Pitaevskii equation in perspective with the corresponding fermionic approximations
arXiv comment4 pages, 1 figure
References in corpus (4)
- Theory of Bose-Einstein condensation in trapped gases
- Observation of Bose-Einstein Condensation of Molecules
- On the correct strong-coupling limit in the evolution from BCS superconductivity to Bose-Einstein condensation
- From the Bogoliubov-de Gennes equations for superfluid fermions to the Gross-Pitaevskii equation for condensed bosons
Cited by in corpus (4)
- Nonlinear Schrödinger equation for a superfluid Fermi gas from BCS to Bose crossover
- The Josephson effect throughout the BCS-BEC crossover
- Berezinskii-Kosterlitz-Thouless transition and BCS-Bose crossover in the two-dimensional attractive Hubbard model
- Bose-representation for a strongly coupled nonequilibrim fermionic superfluid in a time-dependent trap