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Testing Quantum Theory with Higher-Order Interference in Many-Particle Correlations
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ISBN: 9783031044540 9783031044533 9783031044557 9783031044564 Year: 2022 Publisher: Cham Springer International Publishing

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The structure of quantum theory permits interference of indistinguishable paths. At the same time, however, it also limits such interference to certain orders and any higher-order interference is prohibited. This thesis develops and studies concepts to test quantum theory with higher-order interference using many-particle correlations, the latter being generally richer and typically more subtle than single-particle correlations. It is demonstrated that quantum theory in general allows for interference up to order 2M in M-particle correlations. Depending on the mutual coherence of the particles, however, the related interference hierarchy can terminate earlier. In this thesis, we show that mutually coherent particles can exhibit interference of the highest orders allowed. We further demonstrate that interference of mutually incoherent particles truncates already at order M+1, although interference of the latter is principally more multifaceted than their coherent counterpart. We introduce two families of many-particle Sorkin parameters, whose members are expected to be all zero when quantum mechanics holds. As proof of concept, we demonstrate the disparate vanishing of such higher-order interference terms as a function of coherence in experiments with mutually coherent and incoherent sources. Finally, we investigate the influence of exotic kinked or looped quantum paths, which are permitted by Feynman's path integral approach, in such setups.


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Long Distance Entanglement Between Quantum Memories
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ISBN: 9789811979392 9789811979385 9789811979408 9789811979415 Year: 2023 Publisher: Singapore Springer Nature

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This book highlights novel research work done on cold atom-based quantum networks. Given that one of the main challenges in building the quantum network is the limited entanglement distribution distance, this book presents some state-of-the-art experiments in tackling this challenge and, for the first time, establishes entanglement between quantum memories via metropolitan-scale fiber transmission. This achievement is accomplished by cooperating high-efficiency cold quantum memories, low-loss quantum frequency conversion modules, and long-fiber phase-locking techniques. In the book, the scheme design, experimental setup, data analyses, and numerous technical details are given. Therefore, it suits a broad readership that includes all students, researchers, and technicians who work in quantum information sciences.


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Band Structure of Cubic Hydrides
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ISBN: 9783031068782 9783031068775 9783031068799 9783031068805 Year: 2023 Publisher: Cham Springer International Publishing

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This book compiles detailed results of electronic structure calculations for most possible cubic monohydrides, dihydrides and selected trihydrides related to superconductivity, comprising elements with atomic numbers up to 103. Beginning with an introduction to the theory and details of the computational methods implemented, this handbook presents a collection of chapters containing results for different classes of cubic hydrides, featuring tables of three-centre and two-centre tight-binding parameterizations, diagrams of energy bands, and densities of states with angular momentum decomposition. Equilibrium lattice parameters and bulk moduli are also included, along with the electron-ion matrix element (Hopfield-McMillan parameter), Stoner criterion for ferromagnetism and values of Fermi velocities and plasmon energies. Each chapter features a brief text explaining the results presented with comparison to experimental values when available. A selection of the implemented computer codes is reproduced for the reader’s own use. This handbook is an ideal complement to any standard electronic structure text for students and researchers in materials science, condensed matter physics, and quantum chemistry.

Understanding quantum physics : a user's manual
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ISBN: 0139356789 0137479085 Year: 1990 Publisher: Englewood Cliffs, NJ : Prentice-Hall International,

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Toeval: hoe de kwantumfysica ons wereldbeeld verandert
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ISBN: 9085710057 Year: 2003 Publisher: Dienem Veen Magazines

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Quantum Science : The Frontier of Physics and Chemistry
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ISBN: 9789811944215 9789811944208 9789811944222 9789811944239 Year: 2022 Publisher: Singapore Springer Nature

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This book focuses on recent topics of quantum science in both physics and chemistry. Until now, quantum science has not been fully discussed from the interdisciplinary vantage points of both physics and chemistry. This book, however, is written not only for theoretical physicists and chemists, but also for experimentalists in the fields of physical chemistry and condensed matter physics, as collaboration and interplay between construction of quantum theory, and experimentation has become more important. Tips for starting new types of research projects will be found in an understanding of cutting-edge quantum science. In Part I, quantum electronic structures are explained in cases of strongly correlated copper oxides and heavy elements. In Part II, quantum molecular dynamics is investigated by computational approaches and molecular beam experiments. In Part III, after lithium problem in big bang nucleosynthesis scenario is considered using supersymmetric standard model, quantum theories in atomic and molecular systems are reviewed. Finally, in Part IV, the development of quantum computational method is introduced. .


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Calculating with quanta : Quantum computer for the curious
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ISBN: 9783658367510 9783658367503 9783658367527 Year: 2022 Publisher: Wiesbaden Springer Fachmedien, Imprint: Springer

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This essential creates a lively and vivid understanding of the processes in quantum computers. It explores the quantum phenomena of entanglement and superposition and how they can be used for computing. Coding of information, explanation of simple algorithms, and possible applications are shown. A glossary at the end of the essentials explains the most important terms.


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Extensions and Restrictions of Generalized Probabilistic Theories
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ISBN: 9783658375812 9783658375805 9783658375829 Year: 2022 Publisher: Wiesbaden Springer Fachmedien, Imprint: Springer Spektrum

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Generalized probabilistic theories (GPTs) allow us to write quantum theory in a purely operational language and enable us to formulate other, vastly different theories. As it turns out, there is no canonical way to integrate the notion of subsystems within the framework of convex operational theories. Sections can be seen as generalization of subsystems and describe situations where not all possible observables can be implemented. Jonathan Steinberg discusses the mathematical foundations of GPTs using the language of Archimedean order unit spaces and investigates the algebraic nature of sections. This includes an analysis of the category theoretic structure and the transformation properties of the state space. Since the Hilbert space formulation of quantum mechanics uses tensor products to describe subsystems, he shows how one can interpret the tensor product as a special type of a section. In addition he applies this concept to quantum theory and compares it with the formulation in the algebraic approach. Afterwards he gives a complete characterization of low dimensional sections of arbitrary quantum systems using the theory of matrix pencils. About the author Jonathan Steinberg studied physics and mathematics at the university of Siegen and obtained his M. Sc. in the field of quantum foundations. Currently he investigates the relation between tensor eigenvalues and the quantification of multipartite entanglement under the tutelage of Prof. Otfried Gühne.


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Identity and Indiscernibility in Quantum Mechanics
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ISBN: 9783030748708 9783030748692 9783030748715 9783030748722 Year: 2022 Publisher: Cham Springer International Publishing, Imprint: Palgrave Macmillan

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This book analyzes metaphysical consequences of the quantum theory of many particles with respect to the fundamental notions of identity, individuality and discernibility. The main focus is on the proper interpretation of the quantum formalism in relation to the role of permutation invariance and the adequate representation of the properties of individual subsystems. Two main approaches to the issue of the individuation of quantum particles are distinguished and thoroughly discussed. These approaches differ radically with respect to their metaphysical consequences – while one of them implies the complete indiscernibility of quantum particles of the same kind, the other one restores the possibility of discerning individual particles by their properties. We connect the problem of quantum individuation and discernibility with an analysis of the concept of quantum entanglement, and we also discuss identity over time and in counterfactual scenarios. Tomasz Bigaj is Professor of Philosophy at the University of Warsaw, Poland. His previous publications include the book Non-locality and Possible Worlds (2006) and numerous articles on various topics in philosophy of physics, philosophical logic and analytic metaphysics (Synthese, Erkenntnis, Foundations of Physics, Foundations of Science).


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Basic Semiconductor Physics
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ISBN: 9783031255113 9783031255106 9783031255120 9783031255137 Year: 2023 Publisher: Cham Springer International Publishing

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This textbook presents a detailed description of basic semiconductor physics, covering a wide range of important phenomena in semiconductors, from simple to advanced. It introduces and explains four different methods of energy band calculations in the full band region and covers fundamental topics such as the effective mass approximation and electron motion in a periodic potential, the Boltzmann transport equation, and deformation potentials used for the analysis of transport properties. The text also examines experimental and theoretical analyses of cyclotron resonance in detail and reviews essential optical and transport properties, while covering optical transitions, electron–phonon interaction, and electron mobility. It presents numerical calculations of scattering rate, relaxation time, and mobility for typical semiconductors with bulk, quantum well and HEMT structures including wideband gap materials such as GaN and SiC in addition to IV and III-V semiconductors. The updated fourth edition includes coverage of new topics such as surface-modulated superlattices, Wannier–Stark effect, Bloch oscillation, wide band gap semiconductors, and photonic crystals. Featuring full-color diagrams calculated with updated physical parameters, as well as chapter-end problems and solutions, this tried and tested textbook on the basics of semiconductors physics is the cornerstone to any graduate or upper-level undergraduate course on the subject.

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