Dynamics of Molecular Excitons: Theories and Applications (Nanophotonics)

Cover
DYNAMICS OF
MOLECULAR EXCITONS
Copyright
Dedication
Contents
About the author
Preface
Acknowledgments
1 Introduction
	1.1 Motivation and objective
	1.2 Frenkel and Wannier excitons
		1.2.1 A brief overview
		1.2.2 Model Hamiltonians for Frenkel excitons
			1.2.2.1 Linear chain
			1.2.2.2 Circular chain
		1.2.3 Semiclassical model Hamiltonians for Wannier excitons
	1.3 Disorder, fluctuations, and measure of delocalization
	1.4 Utility and limitations of exciton models
2 Microscopic derivation of Frenkel exciton-bath Hamiltonian
	2.1 Aggregates of chromophores
		2.1.1 Preliminary step: Hamiltonian of each chromophore in the adiabatic basis
		2.1.2 Inter-chromophore interaction Hamiltonian terms in the adiabatic basis of each chromophore
		2.1.3 Single exciton Hamiltonian in the site excitation basis
			2.1.3.1 General expression
			2.1.3.2 Crude adiabatic approximation
			2.1.3.3 Minimal Frenkel exciton-bath model
	2.2 Aggregates of chromophores embedded in host media
		2.2.1 General consideration
		2.2.2 Linearly coupled harmonic oscillator bath model
	2.3 Summary and additional remarks
3 Linear spectroscopy of molecular excitons
	3.1 Absorption lineshape
		3.1.1 General formalism
		3.1.2 Diagonal approximation in the exciton basis
		3.1.3 Projection operator formalism
		3.1.4 Second order approximation for exciton-bath coupling
		3.1.5 Linearly coupled harmonic oscillator bath
			3.1.5.1 Diagonal approximation in the exciton basis
			3.1.5.2 Second order QME lineshape
	3.2 Stimulated emission lineshape
	3.3 Model calculations
	3.4 Summary and additional remarks
4 Exciton transfer rates and hopping dynamics
	4.1 Transfer between two exciton states: Förster theory's and its generalizations
		4.1.1 General rate expression
		4.1.2 Constant resonance coupling and independent baths
		4.1.3 Inelastic transfer and independent baths
	4.2 Transfer between groups of exciton states
		4.2.1 General rate expression
		4.2.2 Constant resonance coupling and independent baths
	4.3 Master equation approaches and long range exciton hopping dynamics
	4.4 Summary and additional remarks
5 Quantum dynamics of molecular excitons
	5.1 Projection operator formalism
		5.1.1 Quantum master equations for reduced exciton density operator
			5.1.1.1 Time nonlocal equation
			5.1.1.2 Time local equation
		5.1.2 Quantum master equations for populations
			5.1.2.1 Time nonlocal equation
			5.1.2.2 Time local equation
	5.2 Second order approximations
		5.2.1 Second order QMEs for reduced exciton density operator
			5.2.1.1 Time nonlocal equation
			5.2.1.2 Time local equation
		5.2.2 Second order QMEs for populations
			5.2.2.1 Time nonlocal equation
			5.2.2.2 Time local equation
	5.3 Fourth order approximations
		5.3.1 QMEs for the reduced system density operator
			5.3.1.1 Time nonlocal equation
			5.3.1.2 Time local equation
	5.4 Harmonic oscillator bath with linear coupling
		5.4.1 Second order QMEs
		5.4.2 Second order polaron transformed QME (PQME)
			5.4.2.1 General formalism
			5.4.2.2 Model calculations
	5.5 Summary and additional remarks
6 Excitons and quantum light
	6.1 Interaction of materials with quantum light
	6.2 Microscopic derivation of Förster's spectral overlap expression
		6.2.1 Spontaneous emission
		6.2.2 Absorption
		6.2.3 Förster's spectral overlap expression
	6.3 Polariton
	6.4 Summary and additional remarks
7 Time-resolved nonlinear spectroscopy of excitons
	7.1 General assumption of material Hamiltonian
	7.2 Two-pulse spectroscopy
		7.2.1 General expression
		7.2.2 Pump-probe spectroscopy
	7.3 Four wave mixing spectroscopy
		7.3.1 Response function formalism
	7.4 Summary and additional remarks
8 Examples and applications
	8.1 Excitons in natural light harvesting complexes
		8.1.1 FMO complex of green sulfur bacteria
		8.1.2 LH2 complex of purple bacteria
		8.1.3 PBP of cryptophyte algae
	8.2 Excitons for photovoltaic devices
	8.3 Excitons for structural determination
		8.3.1 FRET efficiency
		8.3.2 Beyond FRET efficiency measurement
	8.4 Summary and additional remarks
9 Summary and outlook
A Useful mathematical identities and solutions
	A.1 Solution of eigenvalue problems for the simple Frenkel exciton models
	A.2 Some identities for averages involving harmonic oscillator models
		A.2.1 Average of the product of two exponential operators
		A.2.2 Displaced harmonic oscillator and polaron transformation
B Interaction between matter and classical electromagnetic fields
	B.1 Maxwell equations
		B.1.1 Vector and scalar potentials
		B.1.2 Electromagnetic fields in source-free space
	B.2 Classical Hamiltonian for matter and radiation interaction
	B.3 Quantum mechanical Hamiltonian for matter-radiation interaction in the weak field limit with Coulomb gauge
	B.4 Interaction with a plane wave radiation and dipole approximation
Bibliography
Index
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