Mean-field and cumulant approaches to modelling organic polariton physics
Abstract
In this thesis we develop methods for many-body open quantum systems and apply them to systems of organic polaritons. The methods employ a mean-field approach to reduce the dimensionality of large-scale problems. Initially assuming the absence of correlations in the many-body state, this approach is built upon in two ways.
First, we show how the mean-field approximation can be combined with matrix product operator methods to efficiently simulate the non-Markovian dynamics of a many-body system with strong coupling to multiple environments. We apply this method to calculate the threshold and photoluminescence for a realistic model of an organic laser.
Second, we extend the mean-field description by systematically including higher-order correlations via cumulant expansions of the Heisenberg equations of motion. We investigate the validity and convergence properties of these expansions, both with respect to expansion order and system size, for many-body systems with many-to-one network structures. We then show how the cumulant expansions may be used to calculate spatially resolved dynamics of organic polaritons. This enables a study of organic polariton transport in which we observe reversible conversion to dark exciton states and
sub-group-velocity propagation.
The methods established in this work offer versatile tools for analysing large, many-body open quantum systems and investigating finite-size effects. Their application reveals the intricate dynamics
of organic polaritons resulting from the interplay of strong light-matter coupling and vibrational effects.
Type
Thesis, PhD Doctor of Philosophy
Rights
Creative Commons Attribution-NonCommercial 4.0 International
http://creativecommons.org/licenses/by-nc/4.0/
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Description of related resources
patially resolved dynamics of organic polaritons (thesis data) Fowler-Wright, P., University of St Andrews, 2 May 2024. DOI: https://doi.org/10.17630/8b395bc4-6d39-4c10-bd99-fc07cb8d8ebcRelated resources
https://doi.org/10.17630/8b395bc4-6d39-4c10-bd99-fc07cb8d8ebc
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