Quantum Interferometry In Phase Space

Author: Martin Suda
Editor: Springer Science & Business Media
ISBN: 9783540260707
File Size: 19,77 MB
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"Quantum Interferometry in Phase Space" is primarily concerned with quantum-mechanical distribution functions and their applications in quantum optics and neutron interferometry. In the first part of the book, the author describes the phase-space representation of quantum optical phenomena such as coherent and squeezed states. Applications to interferometry, e.g. in beam splitters and fiber networks, are also presented. In the second part of the book, the theoretical formalism is applied to neutron interferometry, including the dynamical theory of diffraction, coherence properties of superposed beams, and dephasing effects.

Quantum Optics In Phase Space

Author: Wolfgang P. Schleich
Editor: John Wiley & Sons
ISBN: 352780255X
File Size: 76,25 MB
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Quantum Optics in Phase Space provides a concise introduction to the rapidly moving field of quantum optics from the point of view of phase space. Modern in style and didactically skillful, Quantum Optics in Phase Space prepares students for their own research by presenting detailed derivations, many illustrations and a large set of workable problems at the end of each chapter. Often, the theoretical treatments are accompanied by the corresponding experiments. An exhaustive list of references provides a guide to the literature. Quantum Optics in Phase Space also serves advanced researchers as a comprehensive reference book. Starting with an extensive review of the experiments that define quantum optics and a brief summary of the foundations of quantum mechanics the author Wolfgang P. Schleich illustrates the properties of quantum states with the help of the Wigner phase space distribution function. His description of waves ala WKB connects semi-classical phase space with the Berry phase. These semi-classical techniques provide deeper insight into the timely topics of wave packet dynamics, fractional revivals and the Talbot effect. Whereas the first half of the book deals with mechanical oscillators such as ions in a trap or atoms in a standing wave the second half addresses problems where the quantization of the radiation field is of importance. Such topics extensively discussed include optical interferometry, the atom-field interaction, quantum state preparation and measurement, entanglement, decoherence, the one-atom maser and atom optics in quantized light fields. Quantum Optics in Phase Space presents the subject of quantum optics as transparently as possible. Giving wide-ranging references, it enables students to study and solve problems with modern scientific literature. The result is a remarkably concise yet comprehensive and accessible text- and reference book - an inspiring source of information and insight for students, teachers and researchers alike.

Quantum Optics In Phase Space

Author: Wolfgang Schleich
Editor: Wiley-VCH Verlag GmbH
ISBN: 9783527294350
File Size: 69,78 MB
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Quantum Optics in Phase Space provides a concise introduction to the rapidly moving field of quantum optics from the point of view of phase space. Modern in style and didactically skillful, Quantum Optics in Phase Space prepares students for their own research by presenting detailed derivations, many illustrations and a large set of workable problems at the end of each chapter. Often, the theoretical treatments are accompanied by the corresponding experiments. An exhaustive list of references provides a guide to the literature. Quantum Optics in Phase Space also serves advanced researchers as a comprehensive reference book. Starting with an extensive review of the experiments that define quantum optics and a brief summary of the foundations of quantum mechanics the author Wolfgang P. Schleich illustrates the properties of quantum states with the help of the Wigner phase space distribution function. His description of waves ala WKB connects semi-classical phase space with the Berry phase. These semi-classical techniques provide deeper insight into the timely topics of wave packet dynamics, fractional revivals and the Talbot effect. Whereas the first half of the book deals with mechanical oscillators such as ions in a trap or atoms in a standing wave the second half addresses problems where the quantization of the radiation field is of importance. Such topics extensively discussed include optical interferometry, the atom-field interaction, quantum state preparation and measurement, entanglement, decoherence, the one-atom maser and atom optics in quantized light fields. Quantum Optics in Phase Space presents the subject of quantum optics as transparently as possible. Giving wide-ranging references, it enables students to study and solve problems with modern scientific literature. The result is a remarkably concise yet comprehensive and accessible text- and reference book - an inspiring source of information and insight for students, teachers and researchers alike.

Phase In Optics

Author: Vlasta Perinová
Editor: World Scientific
ISBN: 9814497169
File Size: 10,19 MB
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This book is devoted to the classical and quantum phases in wave and particle optics from the viewpoint of both theory and applications. Wave and beam light optics are reviewed in considerable detail, featuring optical imaging and holography in linear optics and phase conjugation methods in nonlinear optics. Photon optics is embodied here as quantum optics with the modes treated as quantum harmonic oscillators. The importance of the Wigner function for the phase space description in the context of canonical quantization is respected and the method of quasidistributions related to operator orderings in the second-quantized theory is exposed. The history of the quantum phase problem, characterized by renewed interest in the solution to the problem, is included and brought up to date. Approaches based on exponential phase operators, discrete phase states, the enlargement of the Hilbert space of the harmonic oscillator leading to the phase representations and distributions, together with solutions motivated by the quasidistributions, are introduced. The operational approach to the quantum phase is contrasted with the previous formalisms. The results of the study of the coherent states and the ordinary squeezed states from the viewpoint of the quantum phase and those of the analysis of the quantum statistics of phase-related special states of the light field are provided. The quantum phase is also treated with respect to quantum interferometry, particle interferometry, nonlinear optical processes, and quantum nondemolition measurements. The book will prove indispensable to research workers in general optics, quantum optics and electronics, optoelectronics, and nonlinear optics, as well as to students of physics, optics, optoelectronics, photonics, and optical engineering. Contents:Phase in Classical and Nonlinear OpticsPhase-Space Description of Light FieldPhase in Quantum OpticsPhase-Shift Measurements and Phase Dependence Readership: Researchers in applied physics, general physics, optics and laser physics. keywords:Interference of Light;Quasidistributions;Operator Orderings;Geometric Phase, Infamous Phase Operator;Phase Variability “We can be confident that any book with J Peřina among its authors will be a valuable contribution to coherence studies and Phase in Optics more than confirm … Certainly there has been much subsequent research on the subjects of this book but as an authoritative assessment of an important research area it has not lost its relevance.” Ultramicroscopy

Phase Space Methods For Degenerate Quantum Gases

Author: Bryan J. Dalton
Editor: Oxford University Press, USA
ISBN: 0199562741
File Size: 77,61 MB
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This is a text and reference book on phase space theory for post-graduate students and researchers in the fields of condensed matter, cold quantum gases, and quantum optics who already have a basic understanding of quantum theory. The aim of the book is to provide a theoretical framework for understanding the physics of degenerate quantum gases, which occur in all these fields. The phase space theory is outlined both in terms of a treatment involving separatesingle particle states or modes and in terms of a treatment involving quantum fields. The book contains detailed derivations of all the key results, includes chapters covering necessary backgroundmathematics, with many exercises being provided for readers who wish to check their understanding.

Quantum Mechanics On Phase Space

Author: Franklin E. Schroeck Jr.
Editor: Springer Science & Business Media
ISBN: 9401728305
File Size: 20,62 MB
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In this monograph, we shall present a new mathematical formulation of quantum theory, clarify a number of discrepancies within the prior formulation of quantum theory, give new applications to experiments in physics, and extend the realm of application of quantum theory well beyond physics. Here, we motivate this new formulation and sketch how it developed. Since the publication of Dirac's famous book on quantum mechanics [Dirac, 1930] and von Neumann's classic text on the mathematical foundations of quantum mechanics two years later [von Neumann, 1932], there have appeared a number of lines of development, the intent of each being to enrich quantum theory by extra polating or even modifying the original basic structure. These lines of development have seemed to go in different directions, the major directions of which are identified here: First is the introduction of group theoretical methods [Weyl, 1928; Wigner, 1931] with the natural extension to coherent state theory [Klauder and Sudarshan, 1968; Peremolov, 1971]. The call for an axiomatic approach to physics [Hilbert, 1900; Sixth Problem] led to the development of quantum logic [Mackey, 1963; Jauch, 1968; Varadarajan, 1968, 1970; Piron, 1976; Beltrametti & Cassinelli, 1981], to the creation of the operational approach [Ludwig, 1983-85, 1985; Davies, 1976] with its application to quantum communication theory [Helstrom, 1976; Holevo, 1982), and to the development of the C* approach [Emch, 1972]. An approach through stochastic differential equations ("stochastic mechanics") was developed [Nelson, 1964, 1966, 1967].

Introductory Quantum Optics

Author: Christopher Gerry
Editor: Cambridge University Press
ISBN: 9780521527354
File Size: 34,78 MB
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Quantum Interferometry Proceedings Of The Adrratico Conferencer

Author: Martini Francesco De
Editor: World Scientific
ISBN: 9814552593
File Size: 36,81 MB
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Time and matter are the most fundamental concepts in physics and in any science-based description of the world around us. Quantum theory has, however, revealed many novel insights into these concepts in non-relativistic, relativistic and cosmological contexts. The implications of these novel perspectives have been realized and, in particular, probed experimentally only recently.In the papers in this proceedings, these issues are discussed in a truly interdisciplinary fashion from philosophical and historical perspectives. The leading contributors, including Nobel laureates T W Hänsch and G t' Hooft, address both experimental and theoretical issues.

Atom Interferometry

Author: G.M. Tino
Editor: IOS Press
ISBN: 161499448X
File Size: 68,91 MB
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Since atom interferometers were first realized about 20 years ago, atom interferometry has had many applications in basic and applied science, and has been used to measure gravity acceleration, rotations and fundamental physical quantities with unprecedented precision. Future applications range from tests of general relativity to the development of next-generation inertial navigation systems. This book presents the lectures and notes from the Enrico Fermi school "Atom Interferometry", held in Varenna, Italy, in July 2013. The aim of the school was to cover basic experimental and theoretical aspects and to provide an updated review of current activities in the field as well as main achievements, open issues and future prospects. Topics covered include theoretical background and experimental schemes for atom interferometry; ultracold atoms and atom optics; comparison of atom, light, electron and neutron interferometers and their applications; high precision measurements with atom interferometry and their application to tests of fundamental physics, gravitation, inertial measurements and geophysics; measurement of fundamental constants; interferometry with quantum degenerate gases; matter wave interferometry beyond classical limits; large area interferometers; atom interferometry on chips; and interferometry with molecules. The book will be a valuable source of reference for students, newcomers and experts in the field of atom interferometry.

Neutron Interferometry

Author: Helmut Rauch
Editor: Oxford University Press
ISBN: 9780198500278
File Size: 52,86 MB
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This book provides the reader with a detailed account of one of the most startling and fundamental aspect of quantum mechanics: the quantum interference of matter waves, vividly displayed in the wide assembly of neutron interferometry experiments. The book is written in a style suitable at the beginning graduate level, and will excite many students and researchers in neutron physics, optics, and atomic physics.

Quantum Enhanced Sensing Based On Time Reversal Of Entangling Interactions

Author: Daniel Linnemann
Editor: Springer
ISBN: 3319960083
File Size: 43,50 MB
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Quantum mechanics entails effects like superpositions and entanglement, which have no classical counterparts. From a technological standpoint these counterintuitive quantum aspects can be viewed as an unexploited resource that can be harnessed to support various tasks, e.g. in the domains of computation, communication, and metrology. In many applications, however, the potential of nonclassical states cannot practically be exploited due to detection inefficiencies. The authors address this limitation by experimentally realizing a novel detection scheme in which entangling interactions are time reversed. In this way, nonclassical many-particle states are disentangled, allowing them to be detected in a robust and technically feasible manner. In the context of quantum metrology, these nonlinear readout techniques extend the class of entangled probe states that can be leveraged for sensing applications without being limited by finite detector resolution. The authors present an active atom interferometer, where both the entangled state preparation and disentangling readout involve parametric amplification. This “SU(1,1)” interferometer is implemented with the help of spinor Bose–Einstein condensates, where amplification is implemented by atomic collisions leading to spin exchange.

Quantum Optics

Author: D.F. Walls
Editor: Springer Science & Business Media
ISBN: 3540285741
File Size: 40,40 MB
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The formalism of quantum optics is elucidated in the early chapters and the main techniques are introduced. These are applied in the later chapters to problems such as squeezed states of light, resonance fluorescence, laser theory, quantum theory of four-wave mixing, quantum non-demolition measurements, Bell's inequalities, and atom optics. Experimental results are used to illustrate the theory throughout. This yields the most comprehensive and up-to-date coverage of experiment and theory in quantum optics in any textbook.

Quantum Interferometry

Author: Francesco De Martini
Editor: Vch Pub
ISBN:
File Size: 23,21 MB
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One century after the discovery of the quanta and their basic properties, the interdisciplinary science of ´Quantum Interferometry´ retains its original role of being the crossing road between theoretical analysis and interpretation, physics and philosophy, settlement of principles and the prospect for new endeavours. In recent decades the technological achievements have allowed the realization of many earlier gedanken experiments. This has cleared up many issues of previous debate on the foundations by opening, at the same time, new fields of investigation on still subtler aspects of the theory. Furthermore, this evolution has stimulated the birth of new important research of more technological character aimed at the development of practical devices of future general interest, e.g. the new sciences of ´Atom–Optics´, the ´Cavity QED´ in cavities and microcavities, solid–state nanostructures and ´Quantum Computation´. This book collects the texts of lectures given by foremost experts concerning the various modern aspects of ´Quantum Interferometry´ at an Adriatico Conference held, with the same title, in Trieste in March 1996.

Macroscopic Matter Wave Interferometry

Author: Stefan Nimmrichter
Editor: Springer
ISBN: 3319070975
File Size: 13,77 MB
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Matter‐wave interferometry is a promising and successful way to explore truly macroscopic quantum phenomena and probe the validity of quantum theory at the borderline to the classic world. Indeed, we may soon witness quantum superpositions with nano to micrometer-sized objects. Yet, venturing deeper into the macroscopic domain is not only an experimental but also a theoretical endeavour: new interferometers must be conceived, sources of noise and decoherence identified, size effects understood and possible modifications of the theory taken into account. This thesis provides the theoretical background to recent advances in molecule and nanoparticle interferometry. In addition, it contains a physical and objective method to assess the degree of macroscopicity of such experiments, ranking them among other macroscopic quantum superposition phenomena.

Advances In Atomic Molecular And Optical Physics

Author: Ennio Arimondo
Editor: Academic Press
ISBN: 0123964822
File Size: 43,43 MB
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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

Chaos Synchronization And Structures In Dynamics Of Systems With Cylindrical Phase Space

Author: Nikolai Verichev
Editor: Springer Nature
ISBN: 3030361039
File Size: 56,57 MB
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This book develops analytical methods for studying the dynamical chaos, synchronization, and dynamics of structures in various models of coupled rotators. Rotators and their systems are defined in a cylindrical phase space, and, unlike oscillators, which are defined in Rn, they have a wider “range” of motion: There are vibrational and rotational types for cyclic variables, as well as their combinations (rotational-vibrational) if the number of cyclic variables is more than one. The specificity of rotator phase space poses serious challenges in terms of selecting methods for studying the dynamics of related systems. The book chiefly focuses on developing a modified form of the method of averaging, which can be used to study the dynamics of rotators. In general, the book uses the “language” of the qualitative theory of differential equations, point mappings, and the theory of bifurcations, which helps authors to obtain new results on dynamical chaos in systems with few degrees of freedom. In addition, a special section is devoted to the study and classification of dynamic structures that can occur in systems with a large number of interconnected objects, i.e. in lattices of rotators and/or oscillators. Given its scope and format, the book can be used both in lectures and courses on nonlinear dynamics, and in specialized courses on the development and operation of relevant systems that can be represented by a large number of various practical systems: interconnected grids of various mechanical systems, various types of networks including not only mechanical but also biological systems, etc.

Advanced Interferometric Gravitational Wave Detectors In 2 Volumes

Author: Grote Hartmut
Editor: World Scientific
ISBN: 9813146095
File Size: 49,87 MB
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The detection of gravitational waves in 2015 has been hailed a scientific breakthrough and one of the most significant scientific discoveries of the 21st century. Gravitational-wave physics and astronomy are emerging as a new frontier in understanding the universe.Advanced Interferometric Gravitational-Wave Detectors brings together many of the world's top experts to deliver an authoritative and in-depth treatment on current and future detectors. Volume I is devoted to the essentials of gravitational-wave detectors, presenting the physical principles behind large-scale precision interferometry, the physics of the underlying noise sources that limit interferometer sensitivity, and an explanation of the key enabling technologies that are used in the detectors. Volume II provides an in-depth look at the Advanced LIGO and Advanced Virgo interferometers, as well as examining future interferometric detector concepts. This two-volume set will provide students and researchers the comprehensive background needed to understand gravitational-wave detectors.

Measuring The Size Of Things In The Universe Hbt Interferometry And Heavy Ion Physics Proceedings Of Cris 98

Author: Insolia Antonio
Editor: World Scientific
ISBN: 9814543462
File Size: 16,49 MB
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Time and Age explores how time is defined by man. It follows the development of our means for measuring time from early methods using the flow of water or the steady burning of candles through to the atomic clock that records time with incredible precision.The classical idea of time as something that progresses at a uniform rate and as something that is the same to all observers was overturned by Einstein's Theory of Relativity. The conclusions coming from this theory are described, including the anti-intuitive twin paradox where one twin, returning from a journey to a distant star, is younger than his twin brother.Also covered is how age can be determined in a wide range of situations, such as how we work out the age of the Universe to how we calculate the age of artefacts that are just a few centuries old.

Ultracold Atoms For Foundational Tests Of Quantum Mechanics

Author: Robert J. Lewis-Swan
Editor: Springer
ISBN: 3319410482
File Size: 39,88 MB
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This thesis presents a theoretical investigation into the creation and exploitation of quantum correlations and entanglement among ultracold atoms. Specifically, it focuses on these non-classical effects in two contexts: (i) tests of local realism with massive particles, e.g., violations of a Bell inequality and the EPR paradox, and (ii) realization of quantum technology by exploitation of entanglement, for example quantum-enhanced metrology. In particular, the work presented in this thesis emphasizes the possibility of demonstrating and characterizing entanglement in realistic experiments, beyond the simple “toy-models” often discussed in the literature. The importance and relevance of this thesis are reflected in a spate of recent publications regarding experimental demonstrations of the atomic Hong-Ou-Mandel effect, observation of EPR entanglement with massive particles and a demonstration of an atomic SU(1,1) interferometer. With a separate chapter on each of these systems, this thesis is at the forefront of current research in ultracold atomic physics.

Coherence And Quantum Optics Viii

Author: N.P. Bigelow
Editor: Springer Science & Business Media
ISBN: 1441989072
File Size: 68,42 MB
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The Eighth Rochester Conference on Coherence and Quantum Optics was held on the campus of the University of Rochester during the period June 13-16,2001. This volume contains the proceedings of the meeting. The meeting was preceded by an affiliated conference, the International Conference on Quantum Information, with some overlapping sessions on June 13. The proceedings of the affiliated conference will be published separately by the Optical Society of America. A few papers that were presented in common plenary sessions of the two conferences will be published in both proceedings volumes. More than 268 scientists from 28 countries participated in the week long discussions and presentations. This Conference differed from the previous seven in the CQO series in several ways, the most important of which was the absence of Leonard Mandel. Professor Mandel died a few months before the conference. A special memorial symposium in his honor was held at the end of the conference. The presentations from that symposium are included in this proceedings volume. An innovation, that we believe made an important contribution to the conference, was the inclusion of a series of invited lectures chaired by CQO founder Emil Wolf, reviewing the history of the fields of coherence and quantum optics before about 1970. These were given by three prominent participants in the development of the field, C. Cohen-Tannoudji, 1. F. Clauser, and R. I. Glauber.