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High-temperature ultrafast polariton
parametric amplification in
semiconductor microcavities
M. Saba et al. Nature 414, 731-735 (2001)
Itoh Lab. M1
Masataka YASUDA
Contents
• Introduction
– Cavity Polariton
– Microcavity
– Polariton-Polariton Parametric Scattering
• Experimental
• Results and Discussion
• Summary
Introduction
Wide and rapid spread of the optical networking
Rapid increase of information capacity
Optical switches
Ultrafast response
Large nonlinearity
Small size
Development of devices using new optical phenomena
For example : Cavity Polariton
Introduction
Polariton
Strong coupling wave of electromagnetic field and
polarization field (such as phonon, exciton and plasmon)
Exciton Polariton
Exciton (e : electron, h : hole)
Light
Light
e
e
h
e
h
h
The anticrossed dispersion curves appear
by the interaction of light and exciton.
Exciton
Introduction
Cavity Polariton
Strong bonding state of photons in cavity mode
and excitons in quantum well
The exciton energy is constant by
introducing the quantum well structure.
This paper
To observe
Polariton-polariton parametric scattering
Cavity Polariton 共振器ポラリトン
Quantum Well ; QW 量子井戸
Parametric Scattering パラメトリック散乱
Introduction
Distributed Bragg Reflector
Fixed end
Free end
Incident light
Wavelength
Refractive index
Optical path length of each layer ;
Reflectance is very high.
is controlled by changing the thickness.
Distributed Bragg Reflector ; DBR 分布ブラッグ反射器
Introduction
Microcavity
100
AlAs/GaAs DBRs, 30 pairs
DBR
Spacer
Transmittance [%]
80
60
40
20
DBR
0
1450
1500
1550
1600
1650
1700
1750
Wavelength [nm]
Substrate
Cavity mode (Light is confined.)
1800
Introduction
Optical Parametric Amplification
Nonlinear optical crystal
Signal
Pump
Idler
Energy
OPA occurs when phase-matching
condition is satisfied.
Optical Parametric Amplification ; OPA 光パラメトリック増幅
Introduction
Polariton-Polariton Parametric Scattering
Idler
P2k
Pk
Probe
P0
Microcavity
Pump
Momentum conservation
2Pk = P0 + P2k
Energy
Ek
Ek
E0
Ek
E0
E2k
Energy conservation
2Ek = E0 + E2k
E2k
Motivation
• Observe efficient light amplification by
polariton-polariton parametric scattering in
microcavity at high temperatures.
• Explore the material that can realize the room
temperature operation of the parametric
scattering.
Samples
GaAlAs-based microcavity (12QWs)
Polariton splitting : 15.3meV
CdTe-based microcavity
Polariton splitting : 25meV
Cd0.4Mg0.6Te spacer
AlAs spacer
…
AlAs
…
…
Ga0.8Al0.2As
12 GaAs QWs
(3 stacks of 4 wells)
…
24 CdTe QWs
(6 stacks of 4 wells)
Ga0.8Al0.2As
AlAs spacer
GaAlAs-based microcavity
…
(36QWs)
Polariton splitting : 20meV
Cd0.4Mg0.6Te
Cd0.75Mn0.25Te
AlAs
…
36 GaAs QWs
(9 stacks of 4 wells)
Polariton Splitting
Rabi splitting (Coupling strength between exciton and photon)
Incident light
Varying sample position
Anticrossing
●:Polariton energy measured from reflectivity spectra
○:Cavity(C) and Exciton(X) modes extracted from the
experimental data by using a two coupled oscillators model
Angle-resolved Pump-probe Configuration
Light source : Ti:Sapphire laser
FWHM of pulse : 250fs
Repetition rate : 80MHz
Probe spot is spatially
selected by pin-hole.
FWHM ; Full Width at Half Maximum 半値全幅
Gain Spectra of Samples
12QWs
Probe intensity with pump pulse
Gain 
Probe intensity without pump pulse
Gain reached to about 5000.
Higher temperature:
Peaks become smoother, broader and weaker.
Polariton mode becomes broader
because of the thermal dephasing of exciton.
Angular Resonance
Angular resonance of CdTe is broader
than that of GaAlAs.
Inflection point of the lower polariton
Maximum gain
It is related to the gain spectral line width.
Energy and momentum conversion
Most easily satisfied
Power Dependence of Gain
150K
Gain shows a threshold
by raising pump power.
77K
Near the threshold
Gain increases in proportion to
pump intensity to the power of 5.7.
90K
Gain is reduced by raising
probe power. (inset)
l0 = 1013 photons・cm-2・pulse-1
Temperature Dependence of Gain
Cut-off temperatures
almost constant.
• The gain falls to 1.
• Intrinsic parameter of the material
Cut-off
Almost twice large
(Difference of polariton splitting is only 25%.)
Exciton Binding Energy vs. Cut-off Temperature
Exciton binding energy is very
different between CdTe (25meV)
and GaAlAs (13.5meV).
Cut-off temperature seems to
be proportional to exciton
binding energy.
Room temperature operation is expected.
Ultrafast Dynamics of Gain
CdTe
Pump polaritons escape from
the cavity within a few ps.
Repetition rate of the device is
the THz range.
Summary
• Efficient light amplification by porariton-poratiron
parametric scattering was observed by using
GaAlAs-based microcavity.
• High temperature amplification was achieved by
using CdTe-based microcavity.
• Cut-off temperature is increased in proportion to the
exciton binding energy.
• The materials with the large exciton binding energy
are expected to achieve the room temperature
operation of the parametric scattering.