Rabi oscillations in an exciton-polariton system
Author
Müstecaplıoğlu, Özgür Esat
Advisor
Shumovsky, Alexander S.
Date
1995Publisher
Bilkent University
Language
English
Type
ThesisItem Usage Stats
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Abstract
The pure qiiaiitum model d(\scril)ing lîahi oscillations of exciton-polaritons
in a ınicro-cavity is consid(‘r(‘(l. IMiolon-c'Xcilon intiT’action Hamiltonian is
diagonalized with the aid of Bogoliihov canonical transformations and polariton
picture is obtained. We (ind that this picture is ecpiicalent to the two level atomsingle
mode held interaction up to the lact that bosonic nature^ of this picture
allows many i)articles in both level whose decays give radiation. We demonstrate
tluit in contrast to tlie Jaynes-Cummings moded collapse and revivals cannot be
seen in our model. Pumping mecluinism and its elfects on the preparation of the
initial states are examined. It is found that initial statcîs of such system should
form two-modi' coher('nt state'. Markovian da.iiiping is introduc('d in 1 h'isi'iibergLangevin
formalism. It is shown that i 1h‘ (oscillations can Ix' obs('rv('d if cavity
dtiinping rate does not excc'ed some critical value depending on coupling constant
cind detuning (of cavity modex iLxplicit cxxjoii'ssion for la'iiormalized HaJoi frecpiency
is found. Strong, weak and critical damioing r('giim‘s are studi('d in detciil.
Keywords
Rabi oscillations,excitons
polaritons
microcavitics
spontaneous emission
Jaynes-cummings model