Maxwell consideration of polaritonic quasi-particle Hamiltonians in multi-level systems
(2015) In Applied Physics Letters 107(23).- Abstract
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... (More)
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.
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- author
- Richter, Steffen LU ; Michalsky, Tom ; Fricke, Lennart ; Sturm, Chris ; Franke, Helena ; Grundmann, Marius and Schmidt-Grund, Rüdiger
- publishing date
- 2015-12-07
- type
- Contribution to journal
- publication status
- published
- in
- Applied Physics Letters
- volume
- 107
- issue
- 23
- article number
- 231104
- publisher
- American Institute of Physics (AIP)
- external identifiers
-
- scopus:84950126038
- ISSN
- 0003-6951
- DOI
- 10.1063/1.4937462
- language
- English
- LU publication?
- no
- additional info
- Publisher Copyright: © 2015 AIP Publishing LLC.
- id
- ea1a1dc1-af6a-4a4a-ad9b-37f21acbcedc
- date added to LUP
- 2022-04-19 14:52:07
- date last changed
- 2022-04-27 04:54:13
@article{ea1a1dc1-af6a-4a4a-ad9b-37f21acbcedc,
abstract = {{<p>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.</p>}},
author = {{Richter, Steffen and Michalsky, Tom and Fricke, Lennart and Sturm, Chris and Franke, Helena and Grundmann, Marius and Schmidt-Grund, Rüdiger}},
issn = {{0003-6951}},
language = {{eng}},
month = {{12}},
number = {{23}},
publisher = {{American Institute of Physics (AIP)}},
series = {{Applied Physics Letters}},
title = {{Maxwell consideration of polaritonic quasi-particle Hamiltonians in multi-level systems}},
url = {{http://dx.doi.org/10.1063/1.4937462}},
doi = {{10.1063/1.4937462}},
volume = {{107}},
year = {{2015}},
}