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Maxwell consideration of polaritonic quasi-particle Hamiltonians in multi-level systems

We address the problem of the correct description of light-matter coupling for excitons and cavity
photons in the case of systems with multiple photon modes or excitons, respectively. In the literature,
two different approaches for the phenomenological coupling Hamiltonian can be found:
Either one single Hamiltonian with a basis whose dimension equals the sum of photonic modes and
excitonic resonances is used. Or a set of independent Hamiltonians, one for each photon mode, is
chosen. Both are usually used equivalently for the same kind of multi-photonic systems which cannot
be correct. However, identifying the suitable Hamiltonian is difficult when modeling experimental
data. By means of numerical transfer matrix calculations, we demonstrate the scope of
application of each approach: The first one holds only for the coupling of a single photon state to
several excitons, while in the case of multiple photon modes, separate Hamiltonians must be used
for each photon mode.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:31195
Date10 August 2018
CreatorsRichter, Steffen, Michalsky, Tom, Fricke, Lennart, Sturm, Chris, Franke, Helena, Grundmann, Marius, Schmidt-Grund, Rüdiger
PublisherAmerican Institute of Physics, Universität Leipzig
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/publishedVersion, doc-type:article, info:eu-repo/semantics/article, doc-type:Text
Rightsinfo:eu-repo/semantics/openAccess
Relation0003-6951, 1077-3118, 231104

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