Multiplets in Emission Spectra of Quantum Dots in Microcavities

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Multiplets 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 [phone]
62 laussy_at_lasmea.univ-bpclermont.fr M. M. G at
A. F. Ioffe Institute, Saint Petersburg, Russia
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QDs in Microcavities
From Sheffields group
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Limitation of the Number of Excitations in the Dot
The premise is simple,
If
This raises the following questions

1. What is the exact underlying mechanism for this
   effect?
2. What is the mathematical structure of this
   ?
3. Which physics results from this assumption?

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What is the exact underlying mechanismfor this
effect?
Pauli Principle
The ground state wavefunction
as a function of the single exciton wavefunction
can vanish.
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What is the mathematical structure of this ?
We define
and
where
We have shown that
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What 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,
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Various cases of Interest
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Which physics results from this assumption?
Multiplets
THO
Dicke
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Which physics results from this assumption?
Multiplets
THO
Dicke
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ConclusionsPerspectives
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In this work,

1. 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.
2. We have investigated the strong coupling of a
   single radiation mode with these excitations in
   two limiting cases, the THO and the Dicke case.
3. In the limit of small saturation number, we
   predicted a multiplet structure qualitatively the
   same for all models.
4. In the limit of large saturation number, each
   model acquires specificites of its own (Dicke
   forks, etc)