This book provides a comprehensive view of the contemporary methods for quantum-light engineering. In particular, it addresses different technological branches and therefore allows the reader to quickly identify the best technology - application match. Non-classical light is a versatile tool, proven to be an intrinsic part of various quantum technologies. Its historical significance has made it the subject of many text books written both from theoretical and experimental point of view. This book takes another perspective by giving an insight to modern technologies used to generate and manipulate quantum light.

This book provides a comprehensive view of the contemporary methods for quantum-light engineering. In particular, it addresses different technological branches and therefore allows the reader to quickly identify the best technology - application match. Non-classical light is a versatile tool, proven to be an intrinsic part of various quantum technologies. Its historical significance has made it the subject of many text books written both from theoretical and experimental point of view. This book takes another perspective by giving an insight to modern technologies used to generate and manipulate quantum light.

Atom-Photon Interactions: Basic Processes and Applications allows the reader to master various aspects of the physics of the interaction between light and matter. It is devoted to the study of the interactions between photons and atoms in atomic and molecular physics, quantum optics, and laser physics. The elementary processes in which photons are emitted, absorbed, scattered, or exchanged between atoms are treated in detail and described using diagrammatic representation. The book presents different theoretical approaches, including: Perturbative methods The resolvent method Use of the master equation The Langevin equation The optical Bloch equations The dressed-atom approach Each method is presented in a self-contained manner so that it may be studied independently. Many applications of these approaches to simple and important physical phenomena are given to illustrate the potential and limitations of each method.

This book provides an introduction to the body of theory shared by several branches of modern optics--nonlinear optics, quantum electronics, laser physics, and quantum optics--with an emphasis on quantum and statistical aspects. It is intended for well prepared undergraduate and graduate students in physics, applied physics, electrical engineering, and chemistry who seek a level of preparation of sufficient maturity to enable them to follow the specialized literature.

The field of quantum nanophotonics has recently been attracting a great deal of interest. In quantum nanophotonics, fermionic degrees of freedom such as atoms or quantum dots are coupled to traditional nanophotonic systems. As the fermionic components can only absorb a finite number of photons at a time, the interplay between the fermionic and photonic degrees of freedom can fundamentally alter the transport properties of photons and their correlations. In many conventional photonic systems, however, atom-photon interactions are too weak to realize efficient devices at ultra-low power levels. We show that in properly designed quantum nanophotonic geometries, we can create strong photon-photon interaction and quantum interference to realize efficient devices operating down to the single-photon power level. In particular, quantum nanophotonic geometry allows us to establish quantum interference to provide efficient single-photon frequency conversion and long-term photonic storage. Moreover, we use strong photon-photon interactions in cavity-QED to produce strongly antibunched streams of photons with shot noise below the classical limit which can allow fundamentally secret communication over large distances.

Dieser Band fasst systematisch alle Begriffe und Konzepte zusammen, die das Fundament der Atom- und Molekülforschung, Optik und Technik bilden: Atome, zweiatomige Moleküle, Atome und Moleküle in statischen und elektromagnetischen Feldern, nichtlineare Optik. Physikalische und mathematische Definitionen, ausführliche Tabellen und ein Überblick über die Tensoralgebra wurden der besseren Lesbarkeit des Haupttextes halber in umfangreiche Anhänge ausgelagert. Jedes Kapitel schließt mit Übungsaufgaben und Angaben zur weiterführenden Literatur ab.

Engineering complex and exotic many body states is a long standing goal for ultracold atom experiments, for which strong and tunable interaction is a crucial ingredient. In this thesis, I will describe our experimental efforts using photons in a multimode confocal cavity to mediate effective interaction among atoms confined within the cavity. In contrast with traditional optical cavities where only a single fundamental Gaussian mode is coupled to the atoms, multimode cavities can support near-degenerate resonances that are well approximated by a continuum of photon modes. Superposition of cavity modes with incommensurate spatial profiles then gives rise to supermodes that adapt to atom configurations and allow for further shaping of the interatomic potential landscape. In a single mode cavity, Raman coupling through atom internal states with the cavity mode is demonstrated, leading to a novel spinor organization and Ising type cavity mediated interaction. As a first experiment in a multimode cavity, I will show that the interference of near-degenerate cavity modes leads to a strong and tunable-range local interaction between Bose-Einstein condensates (BECs) trapped within the cavity. Exploiting the symmetry of a confocal cavity, we measure the interaction between the BEC and its mirror image thus avoiding the complications of overlapping atom densities. I will then discuss how a confocal cavity also hosts a non-local sign-changing interaction due to the differing longitudinal Gouy phases of cavity modes. Using holographic imaging techniques, we reconstruct the complex intra-cavity electric field and confirm the spatial character of this non-local interaction. Finally, I will discuss additional control of the relative strength of the local and the non-local interaction by pumping on two degenerate resonances of the cavity. By canceling the non-local interaction, we restore the translational symmetry of the system. The strong local interaction can then induce a crystallization transition of the BEC where the resulting optical lattice responds dynamically to local changes in atomic density and accommodates a phonon excitation. Bragg spectroscopy measurements then reveal the dispersion of the phonon mode dependent on the BEC-photon coupling strength. I will conclude by briefly describing future experiments enabled by both the local and the non-local interactions.