15 research outputs found
Ultrafast Nonlinear Optical Response of Strongly Correlated Systems: Dynamics in the Quantum Hall Effect Regime
We present a theoretical formulation of the coherent ultrafast nonlinear
optical response of a strongly correlated system and discuss an example where
the Coulomb correlations dominate. We separate out the correlated contributions
to the third-order nonlinear polarization, and identify non-Markovian dephasing
effects coming from the non-instantaneous interactions and propagation in time
of the collective excitations of the many-body system. We discuss the
signatures, in the time and frequency dependence of the four-wave-mixing (FWM)
spectrum, of the inter-Landau level magnetoplasmon (MP) excitations of the
two-dimensional electron gas (2DEG) in a perpendicular magnetic field. We
predict a resonant enhancement of the lowest Landau level (LL) FWM signal, a
strong non-Markovian dephasing of the next LL magnetoexciton (X), a symmetric
FWM temporal profile, and strong oscillations as function of time delay, of
quantum kinetic origin. We show that the correlation effects can be controlled
experimentally by tuning the central frequency of the optical excitation
between the two lowest LLs.Comment: 21 pages, 10 figure