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Quantum Interaction
by Harald Atmanspacher Emmanuel Haven Kirsty Kitto Derek RaineThis book constitutes the refereed proceedings of the 7th International Conference on Quantum Interaction, QI 2013, held in Leicester, UK, in July 2013. The 31 papers presented in this book were carefully selected from numerous submissions. The papers cover various topics on quantum interaction and revolve around four themes: information processing/retrieval/semantic representation and logic; cognition and decision making; finance/economics and social structures and biological systems.
Quantum Interaction: 7th International Conference, QI 2013, Leicester, UK, July 25-27, 2013. Selected Papers (Lecture Notes in Computer Science #8369)
by Harald Atmanspacher, Emmanuel Haven, Kirsty Kitto and Derek RaineThis book constitutes the refereed proceedings of the 7th International Conference on Quantum Interaction, QI 2013, held in Leicester, UK, in July 2013. The 31 papers presented in this book were carefully selected from numerous submissions. The papers cover various topics on quantum interaction and revolve around four themes: information processing/retrieval/semantic representation and logic; cognition and decision making; finance/economics and social structures and biological systems.
Quantum Interaction
by Jose Acacio de Barros Bob Coecke Emmanuel PothosThis book constitutes the thoroughly refereed post-conference proceedings of the 10th International Conference on Quantum Interaction, QI 2016, held in San Francisco, CA, USA, in July 2016. The 21 papers presented in this book were carefully reviewed and selected from 39 submissions. The papers address topics such as: Fundamentals; Quantum Cognition; Language and Applications; Contextuality and Foundations of Probability; and Quantum-Like Measurements.
The Quantum Internet: Ultrafast and Safe from Hackers
by Gösta FürnkranzThe internet can look forward to a fantastic future! With new quantum technology, hacker-proof exchange of information and ultrafast data processing will become possible. The basis for these is Albert Einstein's "quantum spook". We are not dealing here with sorcery, but with hard-core science. This book undertakes a fascinating journey through the world of our quantum future - from the first "quantum satellite" to high-security internet, the quantum cloud and beyond, to partly futuristic applications. The author guides the reader through the basic ideas of quantum physics, explains the concepts of quantum computers, quantum cryptography, and quantum teleportation, and then establishes their relationship to the quantum Internet. Special attention is paid not only to the technical challenges involved, but also to the likely effects on society. Alongside examples of implementation, the author intersperses delightful anecdotes, which bring the story to life. With this book you will learn how quantum physics can revolutionize the internet! "... in lively prose the author presents the current state of research in its whole breadth and splendour – valuable and entertaining reading!” Rupert Ursin, Group Leader and Vice Director of the Institute for Quantum Optics and Quantum Information, Vienna
Quantum Ising Phases and Transitions in Transverse Ising Models
by Bikas K. Chakrabarti Jun-Ichi Inoue Sei SuzukiQuantum phase transitions, driven by quantum fluctuations, exhibit intriguing features offering the possibility of potentially new applications, e.g. in quantum information sciences. Major advances have been made in both theoretical and experimental investigations of the nature and behavior of quantum phases and transitions in cooperatively interacting many-body quantum systems. For modeling purposes, most of the current innovative and successful research in this field has been obtained by either directly or indirectly using the insights provided by quantum (or transverse field) Ising models because of the separability of the cooperative interaction from the tunable transverse field or tunneling term in the relevant Hamiltonian. Also, a number of condensed matter systems can be modeled accurately in this approach, hence granting the possibility to compare advanced models with actual experimental results. This work introduces these quantum Ising models and analyses them both theoretically and numerically in great detail. With its tutorial approach the book addresses above all young researchers who wish to enter the field and are in search of a suitable and self-contained text, yet it will also serve as a valuable reference work for all active researchers in this area.
Quantum Key Distribution: An Introduction with Exercises (Lecture Notes in Physics #988)
by Ramona WolfThis textbook introduces the non-specialist reader to the concepts of quantum key distribution and presents an overview of state-of-the-art quantum communication protocols and applications. The field of quantum cryptography has advanced rapidly in the previous years, not least because with the age of quantum computing drawing closer, traditional encryption methods are at risk.The textbook presents the necessary mathematical tools without assuming much background, making it accessible to readers without experience in quantum information theory. In particular, the topic of classical and quantum entropies is presented in great detail. Furthermore, the author discusses the different types of quantum key distribution protocols and explains several tools for proving the security of these protocols. In addition, a number of applications of quantum key distribution are discussed, demonstrating its value to state-of-the-art cryptography and communication. This book leads the reader through the mathematical background with a variety of worked-out examples and exercises. It is primarily targeted at graduate students and advanced undergraduates in theoretical physics. The presented material is largely self-contained and only basic knowledge in quantum mechanics and linear algebra is required.
Quantum Kinematics And Dynamic (Advanced Book Program Ser.)
by Julian SchwingerA classic from 1969, this book is based on a series of lectures delivered at the Les Houches Summer School of Theoretical Physics in 1955. The book outlines a general scheme of quantum kinematics and dynamics.
Quantum Kinetic Theory
by Michael BonitzThis book presents quantum kinetic theory in a comprehensive way. The focus is on density operator methods and on non-equilibrium Green functions. The theory allows to rigorously treat nonequilibrium dynamics in quantum many-body systems. Of particular interest are ultrafast processes in plasmas, condensed matter and trapped atoms that are stimulated by rapidly developing experiments with short pulse lasers and free electron lasers. To describe these experiments theoretically, the most powerful approach is given by non-Markovian quantum kinetic equations that are discussed in detail, including computational aspects.
The Quantum Labyrinth: How Richard Feynman and John Wheeler Revolutionized Time and Reality
by Paul HalpernThe story of the unlikely friendship between the two physicists who fundamentally recast the notion of time and historyIn 1939, Richard Feynman, a brilliant graduate of MIT, arrived in John Wheeler's Princeton office to report for duty as his teaching assistant. A lifelong friendship and enormously productive collaboration was born, despite sharp differences in personality. The soft-spoken Wheeler, though conservative in appearance, was a raging nonconformist full of wild ideas about the universe. The boisterous Feynman was a cautious physicist who believed only what could be tested. Yet they were complementary spirits. Their collaboration led to a complete rethinking of the nature of time and reality. It enabled Feynman to show how quantum reality is a combination of alternative, contradictory possibilities, and inspired Wheeler to develop his landmark concept of wormholes, portals to the future and past. Together, Feynman and Wheeler made sure that quantum physics would never be the same again.
Quantum Language and the Migration of Scientific Concepts
by Jennifer BurwellHow highly abstract quantum concepts were represented in language, and how these concepts were later taken up by philosophers, literary critics, and new-age gurus. The principles of quantum physics—and the strange phenomena they describe—are represented most precisely in highly abstract algebraic equations. Why, then, did these mathematically driven concepts compel founders of the field, particularly Erwin Schrödinger, Niels Bohr, and Werner Heisenberg, to spend so much time reflecting on ontological, epistemological, and linguistic concerns? What is it about quantum concepts that appeals to latter-day Eastern mystics, poststructuralist critics, and get-rich-quick schemers? How did their interpretations and misinterpretations of quantum phenomena reveal their own priorities? In this book, Jennifer Burwell examines these questions and considers what quantum phenomena—in the context of the founders' debates over how to describe them—reveal about the relationship between everyday experience, perception, and language. Drawing on linguistic, literary, and philosophical traditions, Burwell illuminates representational and linguistic problems posed by quantum concepts—the fact, for example, that quantum phenomena exist only as probabilities or tendencies toward being and cannot be said to exist in a particular time and place. She traces the emergence of quantum theory as an analytic tool in literary criticism, in particular the use of wave/particle duality in interpretations of gender differences in the novels of Virginia Woolf and critics' connection of Bohr's Principle of Complementarity to poetic form; she examines the “quantum mysticism” of Fritjof Capra and Gary Zukav; and she concludes by analyzing “nuclear discourse” in the context of quantum concepts, arguing that it, too, adopts a language of the unthinkable and the indescribable.
QUANTUM LEAPS in the Wrong Direction Where Real Science Ends... and Pseudoscience Begins
by W. WigginsAstrology... poltergeists and ghosts... firewalking... spontaneous human combustion... psychic surgery... ESP. This is the stuff of tabloid headlines. Sure, many people find them laughable, but consider that these papers are all staying in business because people are buying them-and often believing in their outrageous stories, even labeling it all science.The fact is that not all "science" is created equally. Indeed, some "science" isn't science at all but is really downright bogus-in other words, pseudoscience. However, separating the wheat from the chaff might not be as easy as you think when you consider how many people are seduced by the headlines that surround them in the supermarket line. UFOs and creationism certainly have their advocates among intelligent and educated people. Sometimes, though, wrongly held beliefs can get you into real trouble.Consider the proclamation by Marshall Applewhite: "Planet Earth about to be recycled. Your chance to survive-leave with us." In April 1997, 39 people-believing just that-committed suicide in their communal home in Rancho Sante Fe, California. They hoped to shed their earthly "containers" and be whisked away by extraterrestrials to a spaceship and, ultimately, a higher level of existence. Unfortunately, their tragically misguided belief in the pseudoscientific claim of Marshall Applewhite cost them their lives.Quantum Leaps in the Wrong Direction takes us on a tour of the most notorious instances of pseudoscience and sets the record straight. To clearly demonstrate what is wrong with this brand of ersatz science, the authors look closely at what's right about real science, and then compare the true scientific approach with that of pseudoscience. Readers learn that science's most basic value is that all ideas about reality are subject to testing by experiment and challenge by critical, rational thought.Scientifically literate thinkers accept ideas tentatively. They base their acceptance on evidence rather than on authority. People who are not scientifically literate are more likely to accept ideas absolutely. They are more vulnerable to deficient or phony ideas. Quantum Leaps in the Wrong Direction draws the line between what is good science and what isn't even really science at all.The basis for the book begins with the examination of the five most widely believed pseudoscientific ideas: UFOs, out-of-body experiences, astrology, creationism, and ESP These ideas are reviewed in detail to see just how well they stand up to scientific scrutiny. Cleverly illustrated with cartoons by the renowned Sidney Harris, Quantum Leaps in the Wrong Direction is both wonderful fun as well as illuminating science.Although many science topics can seem mysterious, especially when you really get into the details, in the long run its methods and ideas are remarkably straightforward. Quantum Leaps in the Wrong Direction takes this methodical approach to dissect the worst in the field. Tremendously witty, disarmingly fun, this is a book for anyone-especially for those folks who check their horoscope everyday.
Quantum Legacies: Dispatches from an Uncertain World
by David KaiserThe ideas at the root of quantum theory remain stubbornly, famously bizarre: a solid world reduced to puffs of probability; particles that tunnel through walls; cats suspended in zombielike states, neither alive nor dead; and twinned particles that share entangled fates. For more than a century, physicists have grappled with these conceptual uncertainties while enmeshed in the larger uncertainties of the social and political worlds around them, a time pocked by the rise of fascism, cataclysmic world wars, and a new nuclear age. In Quantum Legacies, David Kaiser introduces readers to iconic episodes in physicists’ still-unfolding quest to understand space, time, and matter at their most fundamental. In a series of vibrant essays, Kaiser takes us inside moments of discovery and debate among the great minds of the era—Albert Einstein, Erwin Schrödinger, Stephen Hawking, and many more who have indelibly shaped our understanding of nature—as they have tried to make sense of a messy world. Ranging across space and time, the episodes span the heady 1920s, the dark days of the 1930s, the turbulence of the Cold War, and the peculiar political realities that followed. In those eras as in our own, researchers’ ambition has often been to transcend the vagaries of here and now, to contribute lasting insights into how the world works that might reach beyond a given researcher’s limited view. In Quantum Legacies, Kaiser unveils the difficult and unsteady work required to forge some shared understanding between individuals and across generations, and in doing so, he illuminates the deep ties between scientific exploration and the human condition.
Quantum Lie Theory
by Vladislav KharchenkoThis is an introduction to the mathematics behind the phrase "quantum Lie algebra". The numerous attempts over the last 15-20 years to define a quantum Lie algebra as an elegant algebraic object with a binary "quantum" Lie bracket have not been widely accepted. In this book, an alternative approach is developed that includes multivariable operations. Among the problems discussed are the following: a PBW-type theorem; quantum deformations of Kac--Moody algebras; generic and symmetric quantum Lie operations; the Nichols algebras; the Gurevich--Manin Lie algebras; and Shestakov--Umirbaev operations for the Lie theory of nonassociative products. Opening with an introduction for beginners and continuing as a textbook for graduate students in physics and mathematics, the book can also be used as a reference by more advanced readers. With the exception of the introductory chapter, the content of this monograph has not previously appeared in book form.
A Quantum Life: My Unlikely Journey from the Street to the Stars
by Hakeem Oluseyi Joshua HorwitzIn this inspiring coming-of-age memoir, a world-renowned astrophysicist emerges from an impoverished childhood and crime-filled adolescence to ascend through the top ranks of research physics. &“You&’ll encounter one extraordinary turn of events after another, as the extraordinary chess player, puzzle solver, and occasional grifter works his way from grinding poverty and deep despair to worldwide acclaim as a physicist.&”—Bill Nye, CEO of The Planetary Society Navigating poverty, violence, and instability, a young James Plummer had two guiding stars—a genius IQ and a love of science. But a bookish nerd is a soft target, and James faced years of bullying and abuse. As he struggled to survive his childhood in some of the country&’s toughest urban neighborhoods in New Orleans, Houston, and LA, and later in the equally poor backwoods of Mississippi, he adopted the persona of &“gangsta nerd&”—dealing weed in juke joints while winning state science fairs with computer programs that model Einstein&’s theory of relativity. Once admitted to the elite physics PhD program at Stanford University, James found himself pulled between the promise of a bright future and a dangerous crack cocaine habit he developed in college. With the encouragement of his mentor and the sole Black professor in the physics department, James confronted his personal demons as well as the entrenched racism and classism of the scientific establishment. When he finally seized his dream of a life in astrophysics, he adopted a new name, Hakeem Muata Oluseyi, to honor his African ancestors. Alternately heartbreaking and hopeful, A Quantum Life narrates one man&’s remarkable quest across an ever-expanding universe filled with entanglement and choice.
A Quantum Life: My Unlikely Journey from the Street to the Stars
by Hakeem Oluseyi Joshua HorwitzIn this inspiring coming-of-age memoir, a world-renowned astrophysicist emerges from an impoverished childhood and crime-filled adolescence to ascend through the top ranks of research physics.Navigating poverty, violence, and instability, a young James Plummer had two guiding stars-a genius IQ and a love of science. But a bookish nerd was a soft target in his community, where James faced years of bullying and abuse. As he struggled to survive his childhood in some of the country's toughest urban neighborhoods in New Orleans, Houston, and LA, and later in the equally poor backwoods of Mississippi, he adopted the persona of "gangsta nerd"-dealing weed in juke joints while winning state science fairs with computer programs that model Einstein's theory of relativity. Once admitted to the elite physics PhD program at Stanford University, James found himself pulled between the promise of a bright future and a dangerous crack cocaine habit he developed in college. With the encouragement of his mentor and the sole Black professor in the physics department, James confronted his personal demons as well as the entrenched racism and classism of the scientific establishment. When he finally seized his dream of a life in astrophysics, he adopted a new name, Hakeem Muata Oluseyi, to honor his African ancestors.Alternately heartbreaking and hopeful, A QUANTUM LIFE narrates one man's remarkable quest across an ever-expanding universe filled with entanglement and choice.
A Quantum Life: My Unlikely Journey from the Street to the Stars
by Hakeem Oluseyi Joshua HorwitzIn this inspiring coming-of-age memoir, a world-renowned astrophysicist emerges from an impoverished childhood and crime-filled adolescence to ascend through the top ranks of research physics.Navigating poverty, violence, and instability, a young James Plummer had two guiding stars-a genius IQ and a love of science. But a bookish nerd was a soft target in his community, where James faced years of bullying and abuse. As he struggled to survive his childhood in some of the country's toughest urban neighborhoods in New Orleans, Houston, and LA, and later in the equally poor backwoods of Mississippi, he adopted the persona of "gangsta nerd"-dealing weed in juke joints while winning state science fairs with computer programs that model Einstein's theory of relativity. Once admitted to the elite physics PhD program at Stanford University, James found himself pulled between the promise of a bright future and a dangerous crack cocaine habit he developed in college. With the encouragement of his mentor and the sole Black professor in the physics department, James confronted his personal demons as well as the entrenched racism and classism of the scientific establishment. When he finally seized his dream of a life in astrophysics, he adopted a new name, Hakeem Muata Oluseyi, to honor his African ancestors.Alternately heartbreaking and hopeful, A QUANTUM LIFE narrates one man's remarkable quest across an ever-expanding universe filled with entanglement and choice.
A Quantum Life (Adapted for Young Adults): My Unlikely Journey from the Street to the Stars
by Hakeem Oluseyi Joshua HorwitzA NASA astrophysicist narrates his improbable journey from an impoverished childhood and an adolescence mired in drugs and crime to the nation's top physics PhD program at Stanford in this inspiring coming-of-age memoir.Born into extreme poverty and emotional deprivation, James Edward Plummer was blessed with a genius I.Q. and a love of science. But in his community, a young bookworm quickly becomes a target for violence and abuse. As he struggles to survive his childhood in some of the toughest cities in the country, and his teenage years in the equally poor backwoods of Mississippi, James adopts the hybrid persona of a "gangsta nerd"--dealing weed in juke joints while winning state science fairs with computer programs that untangle the mysteries of Einstein's relativity theory.When his prodigious intellect gains him admission to the elite Physics PhD program at Stanford University, James finds himself torn between his love of science and a dangerous crack cocaine habit he developed in college. With the encouragement of his mentor Art Walker, the lone Black faculty member in the physics department, James finally seizes his dream of a life in science and becomes his true adult self, changing his name to Hakeem Muata Oluseyi in honor--and celebration--of his African heritage. In the tradition of The Autobiography of Malcolm X and The Other Wes Moore, A Quantum Life is an uplifting journey to the stars fueled by hope, hustle, and a hungry mind. As he charts his development as a young scientist, Oluseyi also plumbs the mysteries of the universe where potential personal outcomes are as infinite as the stars in the sky.
Quantum-Limit Spectroscopy
by Zbigniew Ficek Ryszard TanaśThis book covers the main ideas, methods, recent developments and applications of quantum-limit optical spectroscopy to quantum information, resolution spectroscopy, measurements beyond quantum limits, measurement of decoherence and entanglement. Quantum-limit spectroscopy lies at the frontier of current experimental and theoretical techniques, and is one of the areas of atomic spectroscopy where the quantization of the field is essential to predict and interpret the existing experimental results. Currently, there is an increasing interest in quantum and precision spectroscopy both theoretically and experimentally, due to a significant progress in trapping and cooling of single atoms and ions. This progress allows to explore in the most intimate detail the ways in which light interacts with atoms and to measure spectral properties and quantum effects with a large precision. Moreover, it allows to perform subtle tests of quantum mechanics on the single atom and single photon scale which were hardly even imaginable as ``thought experiments'' a few years ago.
Quantum Machine Learning: Thinking and Exploration in Neural Network Models for Quantum Science and Quantum Computing (Quantum Science and Technology)
by Claudio ContiThis book presents a new way of thinking about quantum mechanics and machine learning by merging the two. Quantum mechanics and machine learning may seem theoretically disparate, but their link becomes clear through the density matrix operator which can be readily approximated by neural network models, permitting a formulation of quantum physics in which physical observables can be computed via neural networks. As well as demonstrating the natural affinity of quantum physics and machine learning, this viewpoint opens rich possibilities in terms of computation, efficient hardware, and scalability. One can also obtain trainable models to optimize applications and fine-tune theories, such as approximation of the ground state in many body systems, and boosting quantum circuits’ performance. The book begins with the introduction of programming tools and basic concepts of machine learning, with necessary background material from quantum mechanics and quantum information also provided. This enables the basic building blocks, neural network models for vacuum states, to be introduced. The highlights that follow include: non-classical state representations, with squeezers and beam splitters used to implement the primary layers for quantum computing; boson sampling with neural network models; an overview of available quantum computing platforms, their models, and their programming; and neural network models as a variational ansatz for many-body Hamiltonian ground states with applications to Ising machines and solitons. The book emphasizes coding, with many open source examples in Python and TensorFlow, while MATLAB and Mathematica routines clarify and validate proofs. This book is essential reading for graduate students and researchers who want to develop both the requisite physics and coding knowledge to understand the rich interplay of quantum mechanics and machine learning.
Quantum Magnetism, Spin Waves, and Optical Cavities (SpringerBriefs in Physics)
by Silvia Viola KusminskiyThis primer thoroughly covers the fundamentals needed to understand the interaction of light with magnetically ordered matter and it focuses on "cavity optomagnonics" which is a topic undergoing intense study in current research.The book is unique in combining elements of electromagnetism, quantum magnetism, and quantum optics and it is intended for advanced undergraduate or graduate students.
Quantum Man: Richard Feynman's Life In Science (Great Discoveries #0)
by Lawrence M. Krauss"A worthy addition to the Feynman shelf and a welcome follow-up to the standard-bearer, James Gleick's Genius." --Kirkus Reviews Perhaps the greatest physicist of the second half of the twentieth century, Richard Feynman changed the way we think about quantum mechanics, the most perplexing of all physical theories. Here Lawrence M. Krauss, himself a theoretical physicist and a best-selling author, offers a unique scientific biography: a rollicking narrative coupled with clear and novel expositions of science at the limits. From the death of Feynman's childhood sweetheart during the Manhattan Project to his reluctant rise as a scientific icon, we see Feynman's life through his science, providing a new understanding of the legacy of a man who has fascinated millions.
Quantum Many-Body Physics: A Perspective on Strong Correlations (Lecture Notes in Physics #934)
by Yoshio KuramotoThis book offers a compact tutorial on basic concepts and tools in quantum many-body physics, and focuses on the correlation effects produced by mutual interactions.The content is divided into three parts, the first of which introduces readers to perturbation theory. It begins with the simplest examples—hydrogen and oxygen molecules—based on their effective Hamiltonians, and looks into basic properties of electrons in solids from the perspective of localized and itinerant limits. Readers will also learn about basic theoretical methods such as the linear response theory and Green functions. The second part focuses on mean-field theory for itinerant electrons, e.g. the Fermi liquid theory and superconductivity. Coulomb repulsion among electrons is addressed in the context of high-Tc superconductivity in cuprates and iron pnictides. A recent discovery concerning hydride superconductors is also briefly reviewed. In turn, the third part highlights quantum fluctuation effects beyond the mean-field picture. Discussing the dramatic renormalization effect in the Kondo physics, it provides a clear understanding of nonperturbative interaction effects. Further it introduces readers to fractionally charged quasi-particles in one and two dimensions. The last chapter addresses the dynamical mean field theory (DMFT).The book is based on the author’s long years of experience as a lecturer and researcher. It also includes reviews of recent focus topics in condensed matter physics, enabling readers to not only grasp conventional condensed matter theories but also to catch up on the latest developments in the field.
Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations (Springer Theses)
by Yuto AshidaThis book studies the fundamental aspects of many-body physics in quantum systems open to an external world. Recent remarkable developments in the observation and manipulation of quantum matter at the single-quantum level point to a new research area of open many-body systems, where interactions with an external observer and the environment play a major role. The first part of the book elucidates the influence of measurement backaction from an external observer, revealing new types of quantum critical phenomena and out-of-equilibrium dynamics beyond the conventional paradigm of closed systems. In turn, the second part develops a powerful theoretical approach to study the in- and out-of-equilibrium physics of an open quantum system strongly correlated with an external environment, where the entanglement between the system and the environment plays an essential role. The results obtained here offer essential theoretical results for understanding the many-body physics of quantum systems open to an external world, and can be applied to experimental systems in atomic, molecular and optical physics, quantum information science and condensed matter physics.
Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices
by Michael L. WallThis thesis investigates ultracold molecules as a resource for novel quantum many-body physics, in particular by utilizing their rich internal structure and strong, long-range dipole-dipole interactions. In addition, numerical methods based on matrix product states are analyzed in detail, and general algorithms for investigating the static and dynamic properties of essentially arbitrary one-dimensional quantum many-body systems are put forth. Finally, this thesis covers open-source implementations of matrix product state algorithms, as well as educational material designed to aid in the use of understanding such methods.
Quantum Many Body Systems
by Vieri Mastropietro Jakob Yngvason Vincent Rivasseau Jan Philip Solovej Thomas Spencer Alessandro Giuliani Robert SeiringerThe book is based on the lectures given at the CIME school "Quantum many body systems" held in the summer of 2010. It provides a tutorial introduction to recent advances in the mathematics of interacting systems, written by four leading experts in the field: V. Rivasseau illustrates the applications of constructive Quantum Field Theory to 2D interacting electrons and their relation to quantum gravity; R. Seiringer describes a proof of Bose-Einstein condensation in the Gross-Pitaevski limit and explains the effects of rotating traps and the emergence of lattices of quantized vortices; J.-P. Solovej gives an introduction to the theory of quantum Coulomb systems and to the functional analytic methods used to prove their thermodynamic stability; finally, T. Spencer explains the supersymmetric approach to Anderson localization and its relation to the theory of random matrices. All the lectures are characterized by their mathematical rigor combined with physical insights.