Title: Multiplets in Emission Spectra of Quantum Dots in Microcavities
1Multiplets in Emission Spectraof Quantum Dots in
Microcavities
PLMCN5 Glasgow, June 8 2005
Fabrice P. Laussy, A. V. Kavokin, G. Malpuech and
M. M. Glazov
LASMEA - Université Blaise Pascal - 24 avenue des
Landais - 63177 AUBIERE Cedex FRANCETel 33
(0)4 73 40 52 58 - Fax 33 (0)4 73 40 72
62 laussy_at_lasmea.univ-bpclermont.fr M. M. G at
A. F. Ioffe Institute, Saint Petersburg, Russia
2QDs in Microcavities
From Sheffields group
3Limitation of the Number of Excitations in the Dot
The premise is simple,
If
This raises the following questions
- What is the exact underlying mechanism for this
effect? - What is the mathematical structure of this
? - Which physics results from this assumption?
4What is the exact underlying mechanismfor this
effect?
Pauli Principle
The ground state wavefunction
as a function of the single exciton wavefunction
can vanish.
5What is the mathematical structure of this ?
We define
and
where
We have shown that
6What is the mathematical structure of this ?
The norm
can be computed exactly
as a function of
With the knowledge of the norm,
We now know an as their successive ratio.
For instance, if b2 1,
since b11,
7Various cases of Interest
8Which physics results from this assumption?
Multiplets
THO
Dicke
9Which physics results from this assumption?
Multiplets
THO
Dicke
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13ConclusionsPerspectives
14In this work,
- We have presented a model for excitations in
large QDs which interpolate between the fermionic
and bosonic limits, predicting a saturation due
to Pauli Blocking. - We have investigated the strong coupling of a
single radiation mode with these excitations in
two limiting cases, the THO and the Dicke case. - In the limit of small saturation number, we
predicted a multiplet structure qualitatively the
same for all models. - In the limit of large saturation number, each
model acquires specificites of its own (Dicke
forks, etc)