Coherent Control for a Two-level System Coupled to Phonons

Details Coherent Control for a Two-level System Coupled to Phonons Coherent Control for a Two-level System Coupled to Phonons

1998-07-15

arxiv.org/abs/cond-mat/9807216v2

Phys. Rev. B 59, R7801 (1999)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures, RevTex, content changed

Scientific paper

10.1103/PhysRevB.59.R7801

The interband polarizations induced by two phase-locked pulses in a semiconductor show strong interference effects depending on the time tau_1 separating the pulses. The four-wave mixing signal diffracted from a third pulse delayed by tau is coherently controlled by tuning tau_1. The four-wave mixing response is evaluated exactly for a two-level system coupled to a single LO phonon. In the weak coupling regime it shows oscillations with the phonon frequency which turn into sharp peaks at multiples of the phonon period for a larger coupling strength. Destructive interferences between the two phase-locked pulses produce a splitting of the phonon peaks into a doublet. For fixed tau but varying tau_1 the signal shows rapid oscillations at the interband-transition frequency, whose amplitude exhibits bursts at multiples of the phonon period.

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