Ultrafast coherent spectroscopy of the Fermi edge singularity

Paper submitted to the XVI Sitges Conference on Statistical Mechanics, Sitges, Barcelona, Spain, 7-11 June 1999.

In this work we present a theoretical description of the transient response of the Fermi Edge Singularity (FES). We study the linear and the nonlinear response of an n-doped QW to laser pulses in the Coherent Control (CC) and Four Wave Mixing (FWM) Configurations. By means of a bosonization formalism we calculate the FWM signal emitted by the sample when it is excited by pulses spectrally peaked around the FES and we show that the long time behavior of the nonlinear signal is very similar to the linear case.

Work supported in part by MEC of Spain under contract PB96-0085, Fundacion Ramón Areces and CAM under contract 07N/0026/1998. Diego Porras thanks Spanish Education Ministry for its FPU grant.