@phdthesis{Ruetzel2014, author = {R{\"u}tzel, Stefan}, title = {Pulse-Sequence Approaches for Multidimensional Electronic Spectroscopy of Ultrafast Photochemistry}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-98993}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2014}, abstract = {Observing chemical reactions in real time with femtosecond laser pulses has evolved into a very popular � field of research since it provides fascinating insights into the nature of photochemical transformations. Nevertheless, many photochemical reactions are still too complex for which reason the underlying mechanisms and all engaged species cannot be identi� fied thoroughly. In these cases, conventional time-resolved spectroscopy techniques reach their technical limits and advanced approaches are required to follow the conversion of reactants to their products including all reaction intermediates. The aim of this work was therefore the development of novel methods for ultrafast spectroscopy of photoreactive systems. Though the concept of coherent multidimensional spectroscopy has so far exclusively been used to explore photophysical phenomena, it also offers great potential for the study of photochemical processes due to its capability of extracting spectroscopic information along several frequency dimensions. This allows resolving the photochemical connectivity between various interconvertible molecular species with ultrafast temporal resolution on the basis of their absorption and emission properties as the spectral correlations are explicitly visualized in the detected spectra. The ring-open merocyanine form of the photochromic compound 6-nitro BIPS was studied in Chap. 4 of this work. Merocyanines and their associated ring-closed spiropyrans are promising candidates for future applications as, for instance, molecular electronics or optical data storage due to their unique property of being switchable between two stable con� gurations via light illumination. Transient absorption with sub-50 fs temporal resolution and broadband probing was employed to characterize the photodynamics of this system with variable excitation wavelengths. Using global data analysis, it could be inferred that two different merocyanine isomers with differing excited-state lifetimes exist in solution. These isomers differ in the cis/trans con� guration in the last bond of the methine bridge. The minority of isomers exist in the all-trans con� guration (TTT) while the isomer with a cis con� guration of the third dihedral angle (TTC) is dominant. A characteristic band, detected after long pump-probe delays, was attributed to the unidirectional cis->trans photoisomerization reaction of the TTC to the TTT form. The quantum yield of the reaction was estimated to be (18� +-4) \%. In addition, pronounced coherent vibrational wave-packet oscillations were observed and it was concluded that these signatures are related to the product formation. Coherent two-dimensional electronic spectroscopy was successfully implemented using a partially collinear pump-probe beam geometry in combination with a femtosecond pulse shaper. The use of a whitelight probe continuum enabled us to probe contributions far-off the diagonal over the complete visible range. By properly adjusting the relative phase between the � first two laser pulses with the pulse shaper, the principle of phase-cycling was explained and it was demonstrated that the measurement can be carried out in the so-called "rotating frame" in which the observed frequencies detected during the coherence time are shifted to lower values. It was shown that these concepts allow the extraction of the desired background-free photon echo while the amount of necessary data points is highly reduced. In order to put our proposal of multidimensional spectroscopy of photoreactive systems into practice, third-order two- and three-dimensional spectroscopy was then employed for an in-depth analysis of a photoreactive process, in which the photoisomerization of 6-nitro BIPS served as a model system. The measured two-dimensional spectra revealed the cis->trans photoisomerization after long population times. By collecting a large data set of two-dimensional spectra for short population times and by applying a Fourier transform along the population time axis, the third-order three-dimensional spectrum was obtained. The novelty of this approach compared to coherent two-dimensional spectroscopy is the introduction of a third axis associated with the vibrational frequencies of the molecular system. In this way, the formation of the reaction product was evidenced and it was shown that the product is formed in its fi� rst excited singlet state within 200 fs after excitation. This method hence visualizes the photochemical connections between different reactive molecular species in an intuitive manner and further exposes the normal modes connecting reactant and product. Such conclusions cannot be drawn with conventional third-order techniques such as transient absorption since they are not capable of capturing the full third-order response, but only a subset of it. The reaction mechanism and the role of the observed vibrational modes were uncovered by comparing the experimental data with the results of high-level quantum-chemical calculations performed by our collaborators in the group of Prof. B. Engels from the theoretical chemistry department at the University of W{\"u}rzburg. Specifi� c calculated molecular normal modes could be assigned to the experimentally observed vibrational frequencies and potential energy surfaces of the electronic ground state and of the � first excited state were computed. The technique implemented in this chapter is general and is applicable for the time-resolved analysis of a wide range of chemical reaction networks. In the fi� rst part of Chap. 5, coherent two-dimensional spectroscopy was employed to track the reaction paths of the related 6,8-dinitro BIPS after S1 excitation. Several differences to the photochemical properties of 6-nitro BIPS were found. From the 2D spectra, the cis-trans isomerization between the two merocyanine isomers could be excluded as a major reaction path for this compound. To explore the dynamics after reexcitation to higher-lying electronic states, pump-repump-probe spectroscopy was implemented and the formation of a new species, a radical cation, was observed. To identify the precursor isomer, triggered-exchange two-dimensional spectroscopy, a � fifth-order technique previously only available in the infrared regime for vibrational transitions, was implemented for the fi� rst time for electronic excitations in the visible. This approach combines the properties of the pump-repump-probe technique with the potential of coherent two-dimensional spectroscopy. It correlates the absorption frequency of a reactive molecular species with the emission signatures of the product formed from this species after an additional absorption of a photon. Using this method, it was unambiguously proven that only the TTC isomer reacts to the radical cation thus forming the precursor species of the reaction. Electronic triggered-exchange two-dimensional spectroscopy is hence another improved technology for time-resolved spectroscopy with applications in the study of multistep photoreactions and higher-lying electronic states. While in the two preceding chapters third- and � fifth-order experiments were discussed that neglect the vectorial character of light-matter interactions, Chap. 6 focused on a novel theoretical formalism enabling the description of light fi� elds optimized for polarization-sensitive higher-order nonlinearities. This formalism is based on the von Neumann time-frequency representation of shaped femtosecond laser pulses which permits the defi� nition of multipulse sequences on a discrete time-frequency lattice. Hence, not only the temporal spacing between subpulses is adjustable, but also the center frequencies may be adapted such that they � fit the experimental requirements. This method was generalized to the description of pulse sequences with time-varying polarization states. It was shown that by using this description, the polarization ellipticity, orientation angle, relative phase and intensity, and the time-frequency location of each subpulse is explicitly controllable. The accuracy of the transformations from Fourier space to von Neumann domain and vice versa was demonstrated. Moreover, a strict accordance between the von Neumann polarization parameters with the conventional parameters in time domain was found for well separated subpulses. A potential future application of this approach is polarization-sensitive multidimensional spectroscopy in which hidden cross peaks may be isolated by de� fining the pulses in the von Neumann picture with suitable polarization sequences. This method could also be used in quantum control experiments in which the polarization of the light fi� eld is used as a major control knob. This thesis summarizes our efforts to open the � field of femtochemistry to the concept of coherent multidimensional electronic spectroscopy. Making use of femtosecond pulse shaping, sub-50 fs temporal resolution, broadband spectral probing, higher-order nonlinearities, and new types of laser pulse descriptions, the presented methods might stimulate further future advancements in this research area.}, subject = {Ultrakurzzeitspektroskopie}, language = {en} } @phdthesis{Kritzer2012, author = {Kritzer, Robert}, title = {Quantum dynamics in dissipative environments}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-73456}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2012}, abstract = {In this thesis, the influence of an environment on molecules and, in particular, on the quantum control of such systems is investigated. Different approaches to describe system-bath dynamics are implemented and applied. The inclusion of a dissipation term in the system Hamiltonian leads to energy loss and relaxation to the ground state. As a first application, the isomerisation reaction in an aromatic complex is treated. It is shown that this simple model is able to reproduce results of time-resolved spectroscopic measurements. Next, the influence of noise is investigated. The incorporation of fluctuations reveals that energy is not conserved and coherences are destroyed. As an example, the quantum control of a population transfer in Na2 is examined. The efficiency of control processes is studied in dependence on the strength of the noise and different system-bath couplings. Starting with the unperturbed system, Local Control Theory is applied to construct a field which selectively transfers population into a single excited electronic state. The coupling to the bath is then switched on to monitor the dependence of the coupling strength on the transfer efficiency. The perturbation of the bath effects the Na2 molecule in such a way that potential energy curves and transition dipole moments are distorted. An important result is that already elastic collisions lead to a substantial loss of control efficiency. The most promising approach used in this thesis is the stochastic Schr{\"o}dinger equation. It is equivalent to the commonly employed descriptions of system-bath dynamics within the reduced density matrix formalism. It includes decoherences and dissipation caused by elastic and inelastic collisions. Our contribution is the incorporation of laser excitation into the kinetic Monte-Carlo scheme. Thus we are able to apply this stochastic approach to the quantum control of population transfer in the sodium dimer. Because within our description it is possible to separate pure dephasing, inelastic transitions, and coherent time-evolution, we can identify the relative influence of these processes on the control efficiency. This leads to a far more physical picture of the basic processes underlying the perturbations of an environment then what a reduced density matrix description can provide. In utilising the stochastic wave function approach instead of the density matrix formalism, the computations are quite efficient. The stochastic Schr{\"o}dinger equation is realised by N independent runs, where, in our case, an ensemble size of N = 1000 gives converged results. The efficiency of the laser control process is studied as a function of temperature and collision rates. A rise in temperature (or collision rate) reeffects a stronger fluctuation and thus results in a less efficient transfer by the control field. Though the Gaussian fluctuations used here do not strictly represent 'white'- noise, since a deterministic machine is not able to produce uncorrelated random numbers, an acceptable distribution is achieved by simple procedures. An improvement of the here applied algorithms would, for instance, include a more sophisticated sampling of the dephasing rates. Only one example of a control process is studied here and an application of the developed approach to other problems of quantum control is to be performed. This thesis established a systematic approach to understand quantum control in the presence of an environment.}, subject = {Quantenmechanisches System}, language = {en} } @phdthesis{Fechner2008, author = {Fechner, Susanne}, title = {Quantenkontrolle im Zeit-Frequenz-Phasenraum}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-28569}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2008}, abstract = {Die in der vorliegenden Arbeit eingef{\"u}hrte von Neumann-Darstellung beschreibt jeden Laserpuls auf eineindeutige Weise als Summe von an verschiedenen Punkten des Zeit-Frequenz-Phasenraumes zentrierten, bandbreitebegrenzten Gaußimpulsen. Diese Laserpulse bilden sozusagen die „elementaren" Bausteine, aus denen jeder beliebige Lichtimpuls konstruiert werden kann. Die von Neumann-Darstellung vereint eine Reihe von Eigenschaften, die sie f{\"u}r eine Anwendung auf dem Gebiet der Quantenkontrolle besonders geeignet erscheinen l{\"a}sst. So ist sie eine bijektive Abbildung zwischen den Freiheitsgraden des verwendeten Impulsformers und der Phasenraumdarstellung der resultierenden, geformten Laserpulse. Jeder denkbaren Wahl von Impulsformerparametern entspricht genau eine von Neumann-Darstellung und umgekehrt. Trotzdem erm{\"o}glicht sie, ebenso wie die Husimi- oder die Wigner-Darstellung, eine intuitive Interpretation der dargestellten Lichtimpulse, da deren zeitliche und spektrale Struktur sofort zu erkennen ist.}, subject = {Femtosekundenlaser}, language = {de} } @phdthesis{Wolpert2008, author = {Wolpert, Daniel}, title = {Quantum Control of Photoinduced Chemical Reactions}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-27171}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2008}, abstract = {The control of quantum mechanical processes, especially the selective manipulation of photochemical reactions by shaped fs laser pulses was successfully demonstrated in many experiments in the fields of physics, chemistry and biology. In this work, attention is directed to the control of two systems that mark a bridge to real synthetic chemistry. In a liquid phase environment the outcome of the photo-induced Wolff rearrangement of an industrially relevant diazonaphthoquinone compound, normally used in photoresists (e.g. Novolak) was optimized using shaped fs laser pulses. In the second series of experiments chemical reactions on a catalyst metal surface which comprise laser induced molecular bond formation channels were selectively manipulated for the first time. The control of liquid phase reactions necessitates adequate spectroscopic signals that are characteristic for the formed product species. Therefore, a pump-probe setup for transient absorption spectroscopy in the mid-infrared for the purpose of investigating ultrafast structural changes of molecules during photoreactions was constructed. This versatile setup enables to monitor structural changes of molecules in the liquid phase and to find appropriate feedback signals for the control of these processes. Prior to quantum control experiments, the photoinduced Wolff-rearrangement reaction of 2-diazo-1-naphthoquinone (DNQ) dissolved in water and methanol was thoroughly investigated. Steady state absorption measurements in the mid-infrared in combination with quantum chemical density functional theory (DFT) calculations revealed the characteristic vibrational bands of DNQ and of possible products. A mid-infrared transient absorption study was performed, to illuminate the structural dynamics of the ultrafast rearrangement reaction of DNQ. The experimental observations indicate, that the Wolff rearrangement reaction of DNQ proceeds within 300 fs. A model for the relaxation dynamics of the ketene photoproduct and DNQ after photoexcitation can be deduced that fits the measured data very well. The object of the quantum control experiments on DNQ was the improvement of the ketene yield. It was shown that the ketene formation after Wolff rearrangement of DNQ is very sensitive to the shape of the applied excitation laser pulses. The variation of single parameters, like the linear chirp as well as the pulse separation of colored double pulses lead to the conclusion that the well known intrapulse dumping mechanism is responsible for the impact of the frequency ordering within the excitation pulse on the photoproduct yield. Adaptive optimizations using a closed learning loop basically lead to the same result. Adaptive fs quantum control was also applied to surface reactions on a catalyst metal surface for the first time. Therefore, the laser-induced catalytic reactions of carbon monoxide (CO) and hydrogen (H2) on a Pd(100) single crystal surface were studied. This photochemical reaction initiated with fs laser pulses has not been observed before. Several product molecules could be synthesized, among them also species (e.g. CH^3+) for whose formation three particles are involved. The systematic variation of different parameters showed that the reactions are sensitive to the catalyst surface, the composition of the adsorbate and to the laser properties. A pump-probe study revealed that they occur on an ultrafast time scale. These catalytic surface reactions were then investigated and improved with phaseshaped fs laser pulses. By applying a feedback optimal control scheme, the reaction outcome could be successfully manipulated and the ratio of different reaction channels could be selectively controlled. Evidence has been found that the underlying control mechanism is nontrivial and sensitive to the specific conditions on the surface. The experiments shown here represent the first successful experiment on adaptive fs quantum control of a chemical reaction between adsorbate molecules on a surface. In contrast to previous quantum control experiments, reaction channels comprising the formation of new molecular bonds rather than the cleavage of already existing bonds are controlled. This work successfully showed that quantum control can be extended to systems closer to situations encountered in synthetic chemistry as was demonstrated in the two examples of the optimization of a complicated rearrangement reaction and the selective formation of chemical bonds with shaped fs laser pulses.}, subject = {Nichtlineare Spektroskopie}, language = {en} } @phdthesis{Vogt2006, author = {Vogt, Gerhard Sebastian}, title = {Adaptive Femtosekunden-Quantenkontrolle komplexer Molek{\"u}le in kondensierter Phase}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-20222}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2006}, abstract = {Die Bildung verschiedener Isomere durch {\"A}nderung der molekularen Struktur spielt eine wichtige Rolle in vielen Gebieten der Physik, Chemie und Biologie. Die Kontrolle dieser Reaktionen ist daher eine sehr interessante Herausforderung und von großer Bedeutung f{\"u}r viele verschiedene Bereiche. Die Entwicklung der letzten Jahre hat gezeigt, dass adaptive Femtosekunden Quantenkontrolle eine ausgesprochen geeignete Methode ist, um chemische Reaktionen zu kontrollieren. Die vorliegende Arbeit behandelt die Beobachtung und Kontrolle von solchen Isomerisierungsreaktionen in biologisch und chemisch relevanten Systemen. Dazu wurde die Reaktionsdynamik eines in Methanol gel{\"o}sten Modellmolek{\"u}ls mittlerer Gr{\"o}ße mittels transienter Absorption, Fluorescence Upconversion und Anisotropie Spektroskopie untersucht. In Kooperation mit F. Santoro und R. Improta konnte eine detaillierte Beschreibung der ablaufenden Prozesse gefunden werden. In {\"U}bereinstimmung mit den von ihnen durchgef{\"u}hrten quantenmechanischen Simulationen hat sich herausgestellt, dass sich die Dynamik auf der ersten angeregten Potentialfl{\"a}che nach der Anregung auf zwei Zeitskalen abspielt. Nach dem Passieren einer konische Durchschneidung isomerisiert das Molek{\"u}l entweder zum thermodynamisch stabileren trans Isomer oder zu den instabileren Produktisomeren. An diesem System wurden nun adaptive Femtosekunden Quantenkontrollexperimente durchgef{\"u}hrt, mit dem Ziel den Isomerisierungsprozess zu beeinflussen. Es konnte erfolgreich gezeigt werden, dass die Isomerisierungseffizienz (die relative Menge von Edukt- zu Produktisomeren) sowohl erh{\"o}ht als auch verringert werden kann. Einzel-Parameter Kontrollmechanismen wie zum Beispiel das Verwenden verschieden gechirpter Anregeimpulse oder unterschiedlicher Anregeimpulsenergien ergaben einen nur geringen Einfluss auf die Isomerisierungseffizienz. Diese Kontrollstudien {\"u}ber den Isomerisierungsprozess haben weiterf{\"u}hrende Experimente an dem sehr komplexen biologischen System Retinal innerhalb des Proteins Bakteriorhodopsin motiviert. Die traditionelle Anrege-Abrege-Abfrage Technik wurde zu einem neuen Anrege-geformten-Abrege-Abfrage Konzept erweitert. Dadurch k{\"o}nnen molekulare Systeme in den Regionen der Potentialenergie-Landschaft kontrolliert werden, in denen der entscheidende Reaktionsschritt stattfinded. Verschiedene theoretische Berechnungen zum Problem der Erh{\"o}hung der Isomerisierungseffizienz stellen in Aussicht, dass Anrege-Abrege-Wiederanrege-Abfrage Mechanismen eine M{\"o}glichkeit der effektiven Beeinflussung der Reaktionsdynamik er{\"o}ffnen. Mit der weiterentwickelten Methode k{\"o}nnen solche Vier-Puls-Techniken realisiert und ihr Einfluss auf den Reaktionsprozess systematisch untersucht werden. Zus{\"a}tzlich wurde mittels Variation von parametrisierten spektralen Phasenfunktionen, wie verschiedene Ordnungen Chirp, die Dynamik des Abregungsprozesses beleuchtet. Durch Formen des Abregungsimpulses mittels adaptiver Femtosekunden Quantenkontrolle wurden die Informationen aus den systematische Untersuchung vervollst{\"a}ndigt. H{\"a}ufig sind die aus einem adaptiven Femtosekunden Quantenkontrollexperiment erhaltenen optimalen Laserimpulsformen sehr kompliziert. Besonders Anrege-Abrege Szenarien spielen oft eine wichtige Rolle in den ermittelten optimalen L{\"o}sungen und sollten daher gesondert untersucht werden. Dazu k{\"o}nnen verschiedenfarbige Doppelimpulse verwendet werden, bei denen man sowohl den Pulsabstand als auch die relative Amplitude oder die Phasendifferenz der beiden Einzellpulse systematisch {\"a}ndert. Diese weiterentwickelte Methode wurde mittels einfacher Experimente charakterisiert. In einem weiteren Schritt wurde ein Aufbau entworfen, der Doppelimpulse erfordert, um ein maximale Ausbeute von Licht bei einer Wellenl{\"a}nge von 266~nm zu erhalten. Mit dem Kontrollziel der maximalen dritten Harmonischen Ausbeute wurden adaptive Femtosekunden Quantenkontrollexperimente durchgef{\"u}hrt. Durch zus{\"a}tzliche Messungen von verschiedenfarbigen Doppelimpuls-Kontrolllandschaften konnte die optimale Pulsform ermittelt und best{\"a}tigt werden. In einem abschließenden Experiment wurde die Abh{\"a}ngigkeit der Anregeeffizienz eines komplexen, in Methanol gel{\"o}sten Farbstoffmolek{\"u}ls auf verschiedene Impulsformen untersucht. Aus den Ergebnissen wird ersichtlich, dass sehr unterschiedliche Impulsformen ein Kontrollziel {\"a}hnlich gut erf{\"u}llen k{\"o}nnen. Verschiedenfarbige Doppelimpuls-Kontrolllandschaften k{\"o}nnen einen Einblick in Kontrollmechanismen von adaptiv gefundenen Impulsformen erm{\"o}glichen und Informationen {\"u}ber die Reaktionsdynamik liefern. Mittels der angewandten und weiterentwickelten Methoden mehr {\"u}ber verschiedene Prozesse unterschiedlicher Molek{\"u}lklassen zu lernen ist ein viel versprechendes und realistisches Ziel f{\"u}r die Zukunft. Die pr{\"a}sentierten Experimente zeigen, dass es m{\"o}glich ist, geometrische {\"A}nderungsreaktionen in chemisch und biologisch relevanten Systemen durch adaptive Femtosekunden Quantenkontrolle zu steuern.}, subject = {Molek{\"u}l}, language = {de} }