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The invention of laser pulse shapers allowed for various quantum control experiments, where a chemical reaction is guided by specifically tailored laser pulses. However, despite of the prominent role of the liquid phase in chemistry, no successful attempt for controlling the selectivity of a bond-fission reaction has yet been reported in this state of matter. Promising candidates for such an experiment are C$_{\infty\mathrm{v}}$-symmetric trihalide anions with two different chemical bonds like $\ce{I2Cl-}$, because these molecules notionally offer the most simplest selectivity-control scenario of breaking either the one or the other bond and they are expected to dissociate under ultraviolet (UV) irradiation like it is known for the most-studied trihalide $\ce{I3-}$.
In order to investigate in this thesis the possibility that the dissociation reaction of such trihalides branches into two different photofragments, the ultrafast photodissociation dynamics of $\ce{I3-}$, $\ce{Br3-}$, $\ce{IBr2-}$ and $\ce{ICl2-}$ (point group D$_{\infty\mathrm{h}}$) as well as of $\ce{I2Br-}$ and $\ce{I2Cl-}$ (point group C$_{\infty\mathrm{v}}$) in dichloromethane solution were measured with broadband transient absorption spectroscopy in magic-angle configuration. The identification of the reaction pathway(s) relies on vibrational wavepacket oscillations, which survive the dissociation process and therefore carry not only informations about the reactant trihalides but also about the fragment dihalides.
These characteristic vibrational wavenumbers were extracted from the measured transient absorption spectra by globally fitting the population dynamics together with the wavepacket dynamics. Until recently, such a combined model function was not available in the well-established fitting tool Glotaran. This made it inevitable to develop a custom implementation of the underlying variable-projection fitting algorithm, for which the computer-algebra software Mathematica was chosen. Mathematica's sophisticated built-in functions allow not only for a high flexibility in constructing arbitrary model functions, but also offer the possibility to automatically calculate the derivative(s) of a model function. This allows the fitting procedure to use the exact Jacobian matrix instead of approximating it with the finite difference method.
Against the expectation, only one of the two thinkable photodissociation channels was found for each of the investigated C$_{\infty\mathrm{v}}$ trihalides. Since the photofragments recombine, their absorption signal as well as the reactant ground state bleach recover. This happens in a biexponential manner, which in the case of $\ce{I3-}$ was interpreted by Ruhman and coworkers with the direct formation of a neutral dihalogen fragment $\ce{I2}$ beside the negatively charged dihalide fragment $\ce{I2-}$. In this thesis, such a direct reaction channel was not found and instead the fast component of the biexponential decay is explained with vibrational excess energy mediating the recombination-preceding electron transfer process $\ce{I2- + I -> I2 + I-}$, while the slow component is attributed to cooled-down fragments.
In addition to the trihalide experiments, the possibility of a magic-angle configuration for polarization-shaping control experiments was theoretically investigated in this thesis by deriving magic-angle conditions for the third-order electric-dipole response signal of arbitrarily polarized laser pulses. Furthermore, the subtleties of anisotropy signals violating the well-known range of \numrange{-0.2}{0.4} were studied.
This publication is dedicated to investigate strong light-matter coupling with excitons in 2D materials. This work starts with an introduction to the fundamentals of excitons in 2D materials, microcavities and strong coupling in chapter 2. The experimental methods used in this work are explained in detail in chapter 3. Chapter 4 covers basic investigations that help to select appropriate materials and cavities for the following experiments. In chapter 5, results on the formation of exciton-polaritons in various materials and cavity designs are presented. Chapter 6 covers studies on the spin-valley properties of exciton-polaritons including effects such as valley polarization, valley coherence and valley-dependent polariton propagation. Finally, the formation of hybrid-polaritons and their condensation are presented in chapter 7.
In the last two decades, coherent multidimensional femtosecond spectroscopy has become a powerful and versatile tool to investigate chemical dynamics of a broad variety of quantum systems. The combination of transient information, equivalent to pumpprobe spectroscopy, with information about coupling between energetic states and the system environment allows an extensive insight into atomic and molecular properties. Many experimental 2D setups employ the coherence-detected approach, where nonlinear system responses are emitted as coherent electric _elds which are detected after spatial separation from the excitation pulses. As an alternative to this experimentally demanding approach, population-based 2D spectroscopy has been established. Here, the coherent information is encoded in the phases of a collinear excitation-pulse train and extracted from incoherent signals like uorescence via phase cycling. In principle, the use of uorescence as observable can boost the sensitivity down to the single-molecule level. The aim of this work was the realization of a pulse-shaper assisted fully collinear uorescence-detected 2D setup and the conducting of proof-of-principle experiments in the liquid phase. This inherently phase-stable and compact setup has been presented in chapter 3, with the utilized pulse shaper granting amplitude and phase modulation on a shot-to-shot basis. Two di_erent types of white-light sources have been applied and evaluated with regard to their respective advantages for 2D uorescence spectroscopy. A variety of artifact sources that can occur with the present setup have been discussed, and correction schemes and instructions for avoiding these artifacts have been provided. In chapter 4, the setup has been demonstrated by employing a four-pulse sequence on cresyl violet in ethanol. A detailed data-acquisition and data-analysis procedure has been presented, where phase cycling is used for extraction of the nonlinear contributions. Depending on the phase-cycling scheme, it is possible to recover all nonlinear contributions in a single measurement. Well-known quantum-beating behavior of cresyl violet during the population time could be reproduced. Due to measuring in a rotating-frame environment and 1 kHz shot-to-shot pulse incrementation, it was possible to obtain a 2D spectrum for one population time in 6 s. Via error evaluation it has been shown that 10_ averaging (1 min) is su_cient to obtain a root-mean-square error of < 0:05 compared to 400_ averaging, proving that the utilized acquisition scheme is well suited. The realization of the _rst experimental uorescence-detected 2Q 2D experiment and the _rst experimental access to the theoretically predicted 1Q-2Q contribution