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 random-phase! 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.

Time-dependent Gross-Pitaevskii equation for composite bosons as the strong coupling limit of the fermionic broken-symmetry random-phase approximation

STRINATI CALVANESE, Giancarlo;PIERI, Pierbiagio
2004-01-01

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 random-phase! 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.
2004
262
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11581/115325
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