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UP2(2): Phase-resolved pump-probe experiments
on a QCL
W. Kühn, P. Gaal, K. Reimann, M. Wörner
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Fig. 3 (a) Pump-induced change of the transmission
through the QCL as a function of pump-probe delay τ for
different currents. (b) Fourier transform of the transmission
changes shown in (a). (c) Pump-induced shift of the phase of
the transmitted pulse as a function of pump-probe delay τ.
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We investigated the ultrafast absorption and gain dynamics in a
Ga0.47In0.53As/Al0.48In0.52As
quantum cascade laser (QCL) under stationary bias by pump-probe
measurements [KPG08]. The detection with electrooptic sampling allows
for a clear separation of gain/absorption dynamics from changes
of the refractive index. Fig. 3(a) shows the transmission change
induced by the pump pulse, plotted as a function of τ for different
values of the laser current I. Below threshold, the QCL
studied here displays strong absorption on the laser transition.
The positive transmission changes observed below threshold [Fig.
3(c), I = 0 and 150 mA] are due to a bleaching of this
absorption. The recovery of this absorption requires the depopulation
of the upper subband and the repopulation of the lower subband.
Accordingly, the time constant for the absorption recovery is determined
both by the electron lifetime in the upper subband and by electron
heating and cooling within the manifold of states in the injector.
The transmission change decays nearly to zero reflecting the complete
repopulation of the lower subband. Above threshold, the pump pulse
saturates the gain, in this way depleting the quasistationary population
inversion and inducing a negative transmission change. Such kinetics
is superimposed by oscillations with a frequency of 0.8 THz. The
fast initial compo-nent of the gain recovery gives evidence of a
very efficient electron supply from the injector through the injection
barrier into the active part of the QCL structure. The oscillations
originate from coherent electron tunneling through the injection
barrier.
UP2(3): Phase-resolved
two-dimensional spectroscopy in the mid-infrared spectral range
W. Kühn, K. Reimann, M. Wörner
A novel method for time-resolved two-dimensional spectroscopy has
been developed. The combination with field-resolved detection allows
for a collinear beam geometry and the measurement of optical nonlinearities
of arbitrary order. A first application is shown for an n-type
modulation-doped multiple quantum well structure (see Fig. 4). Our
approach allows the detailed analysis of all types of nonlinear
optical signals, for instance the third-order four-wave-mixing signal,
which is in agreement with former results for this homogenously
broadened system. As a novel feature, we observe a quantum beat
with the LO-phonon frequency of GaAs that is presently being analyzed.
| Fig. 4 (a),
(b) Electric field transients transmitted through the sample
measured with electrooptic sampling for the delay time τ
= 0.5 ps: EAB(t, τ)
(black line), EA(t)
(green line), and EB(t,
τ) (blue line). (c) Subtracting the transients in (b)
from the transient in (a) (dashed line) yields the nonlinear
signal ENL(t, τ)
(red line, enlarged). (d) Two-dimensional transients in the
time domain. (e) Two-dimensional nonlinear signal in the time
domain. (f) Nonlinear signal in the frequency domain. Red
arrows mark pump-probe signals and yellow arrows the third-order
four-wave-mixing signals. (g) Spectral peak at νt
= &nu0 and &nuτ= 0, i.e.,
the pump-probe signal for τ < 0, transformed back into
the time do-main. (h) Four-wave-mixing signal obtained from
the spectral peak at &nut = &nu0
and &nuτ= 0. (i) Quantum beat with an oscillation
period of 110 fs matching the LO-phonon frequency in GaAs |
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