This thesis explores ultracold quantum gases of bosonic and fermionic atoms in optical lattices. The highly controllable experimental setting discussed in this work, has opened the door to new insights into static and dynamical properties of ultracold quantum matter. One of the highlights reported here is the development and application of a novel time-resolved spectroscopy technique for quantum many-body systems. By following the dynamical evolution of a many-body system after a quantum quench, the author shows how the important energy scales of the underlying Hamiltonian can be measured with high precision. This achievement, its application, and many other exciting results make this thesis of interest to a broad audience ranging from quantum optics to condensed matter physics. A lucid style of writing accompanied by a series of excellent figures make the work accessible to readers outside the rapidly growing research field of ultracold atoms.

With the launch of the Quantum Technology Flagship Programme by the European Commission, developments in the realization of new technologies based on quantum physics have been recognized as a priority. These are important for cryptographic techniques for telecommunications security, new computing hardware that can solve problems so far inaccessible even to the latest generation of supercomputers, and precision standards and sensors with important applications ranging from materials science to medical diagnostics. This book presents a collection of lectures from the International School of Physics Enrico Fermi on Nanoscale Quantum Optics, held in Varenna, Italy, from 23 – 28 July 2018. The course was attended by 60 students, researchers and lecturers, and provided an opportunity to train a new generation of scientists on topics that promise great innovations in science and technology. Included here are 9 lectures and seminars and 3 poster contributions from the school. Subjects covered include: basic concepts for quantum optics and quantum technologies; materials for quantum nanophotonics; quantum optics and non-classical light generation; creating quantum correlations between quantum-dot spins; platforms for telecom-entangled photon sources; nanoscale sensing and quantum coherence; and nano-optomechanics, among others. The book offers a valuable overview of the state-of-the-art and current trends in nanoscale quantum optics. It will be invaluable for all those with an interest in this subject.

This book reviews progress towards quantum simulators based on photonic and hybrid light-matter systems, covering theoretical proposals and recent experimental work. Quantum simulators are specially designed quantum computers. Their main aim is to simulate and understand complex and inaccessible quantum many-body phenomena found or predicted in condensed matter physics, materials science and exotic quantum field theories. Applications will include the engineering of smart materials, robust optical or electronic circuits, deciphering quantum chemistry and even the design of drugs. Technological developments in the fields of interfacing light and matter, especially in many-body quantum optics, have motivated recent proposals for quantum simulators based on strongly correlated photons and polaritons generated in hybrid light-matter systems. The latter have complementary strengths to cold atom and ion based simulators and they can probe for example out of equilibrium phenomena in a natural driven-dissipative setting. This book covers some of the most important works in this area reviewing the proposal for Mott transitions and Luttinger liquid physics with light, to simulating interacting relativistic theories, topological insulators and gauge field physics. The stage of the field now is at a point where on top of the numerous theory proposals; experiments are also reported. Connecting to the theory proposals presented in the chapters, the main experimental quantum technology platforms developed from groups worldwide to realize photonic and polaritonic simulators in the laboratory are also discussed. These include coupled microwave resonator arrays in superconducting circuits, semiconductor based polariton systems, and integrated quantum photonic chips. This is the first book dedicated to photonic approaches to quantum simulation, reviewing the fundamentals for the researcher new to the field, and providing a complete reference for the graduate student starting or already undergoing PhD studies in this area.

Ever since the invention of the cesium atomic clock in 1955, quantum frequency standards have seen considerable development over the decades, as a representative of quantum precision measurement. The progress in frequency measurements achieved in the past allowed one to perform quantum precision measurements of other physical and technical quantities with unprecedented precision, whenever they could be traced back to a frequency measurement. Using atomic transitions as frequency reference, quantum frequency standards are far less susceptible to external perturbations, and the identity of microscopic particles allows easy replication of a quantum standard with the same frequency. With laser cooling and trapping, cold atomic ensembles eliminate Doppler shift broadening, and have become the go-to quantum reference when precision and new physics are pursued. The advancement of laser cooling and cold atom physics, in addition to novel physical matter states such as Bose-Einstein Condensation, give rise to new experimental techniques in quantum precision measurement, especially quantum frequency standards, such as cesium fountain clocks dictating the SI second, as well as optical lattice clocks and single-ion optical clocks pushing the frontier of quantum metrology. Other areas of quantum metrology, such as gravitometers and magnetometers, also benefit greatly from cold atoms. For practical applications, quantum frequency standards are usually required to be compact and portable, and thermal atoms in the form of atomic beams or vapor cells are utilized. Commercially available quantum frequency standards such as cesium beam clocks or rubidium clocks have become the cornerstone of navigation and timekeeping. Compact optical clocks based on various laser spectroscopic techniques have also been developed. As researchers strive to break through the limits of accurate quantum measurement and atomic temperature, new fields such as precise measurement, quantum computing and quantum simulation based on cold atoms are further opened up, and challenges still exist to explore new physical phenomena in the field of cold atoms. In honor of Prof. Yiqiu Wang on the occasion of his 90th birthday, the main goal of this Research Topic is to provide a platform to exhibit the recent achievements and reveal the future challenges in quantum precision measurement, as well as studies of cold atom physics with quantum metrology, closely related to the long-term scientific research areas of Prof. Yiqiu Wang. Both Original Research and Review articles are encouraged. Topics of interest to this collection include, but are not limited to: • Quantum precision measurements • Microwave atomic clocks and their applications • Optical frequency standards, laser spectroscopy, and their applications • Quantum measurement based on cold atom • Quantum computation and quantum simulation based on cold atom

The last century has been characterized by the development of information theory and the consequent transformative impact of new technologies on societies around the world. It seems likely that the tremendous progress in nanoscience – the ability to manipulate microscopic systems at the level of a single atom – and the emergence of quantum information science, will be the key components of the next revolution; that of the new quantum technologies. Indeed, the ability to manipulate and control quantum systems has already found a variety of potential applications, ranging from the development of molecular nanoscale machines which exploit quantum coherence for their functioning, to metrological schemes where quantum effects are used to enhance the accuracy of measurement and detection systems to achieve higher statistical precision than is possible using purely classical approaches. This book presents the proceedings of the Enrico Fermi Summer School on Quantum Simulators (Course 198) held in Varenna, Italy, 22-27 July 2016. Topics covered included: cold atoms in optical lattices; trapped ions; solid state implementations; quantum many-body physics; quantum photonics; hybrid quantum systems; and transport phenomena. The book will be of interest to all those whose work is connected to the rapidly growing field of quantum technologies.

Advances in Atomic, Molecular, and Optical Physics publishes reviews of recent developments in a field which is in a state of rapid growth, as new experimental and theoretical techniques are used on many old and new problems. Topics covered include related applied areas, such as atmospheric science, astrophysics, surface physics and laser physics. Articles are written by distinguished experts, and contain both relevant review material and detailed descriptions of important recent developments. - International experts - Comprehensive articles - New developments

This book traces the evolution of Atomic Physics from precision spectroscopy to the manipulation of atoms at a billionth of a degree above absolute zero. Quantum worlds can be simulated and fundamental theories, such as General Relativity and Quantum Electrodynamics, can be tested with table-top experiments.

Ion trapping was first accomplished in Europe more than 50 years ago. Since then, research and development have increased steadily, and the last decades have seen a remarkable growth in applications, mainly due to the improvement of laser-based techniques for spectroscopy, cooling and the manipulation of ions. Nowadays ion trapping plays a crucial role in a wide range of disciplines, including atomic and plasma physics, chemistry, high precision measurement, high energy physics and the emerging field of quantum technologies. This book presents lectures and reports from the Enrico Fermi School ‘Ion Traps for Tomorrow's Applications’, held in Varenna, Italy, in July 2013. Reflecting the aim of the school to exploit diversity and stimulate cross fertilization, the selected topics and highlights in this book partly review the wide range of subjects discussed during the course, while providing an overview of this topical domain. As well as providing a useful reference guide, the book will be a source of inspiration for all those planning to work on ion trapping in the future.

The Seventh Rochester Conference on Coherence and Quantum Optics was held on the campus of the University of Rochester during the four-day period June 7 - 10, 1996. More than 280 scientists from 33 countries participated. This book contains the Proceedings of the meeting. This Conference differed from the previous six in the series in having only a limited number of oral presentations, in order to avoid too many parallel sessions. Another new feature was the introduction of tutorial lectures. Most contributed papers were presented in poster sessions. The Conference was sponsored by the American Physical Society, by the Optical Society of America, by the International Union of Pure and Applied Physics and by the University of Rochester. We wish to express our appreciation to these organizations for their support and we especially extend our thanks to the International Union of Pure and Applied Physics for providing financial assistance to a number of speakers from Third World countries, to enable them to take part in the meeting.