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| Author | : Kurt Jacobs |
| Publisher | : Cambridge University Press |
| Total Pages | : 982 |
| Release | : 2014-08-14 |
| Genre | : Science |
| ISBN | : 1139992198 |
Download Quantum Measurement Theory and its Applications Book in PDF, ePub and Kindle
Recent experimental advances in the control of quantum superconducting circuits, nano-mechanical resonators and photonic crystals has meant that quantum measurement theory is now an indispensable part of the modelling and design of experimental technologies. This book, aimed at graduate students and researchers in physics, gives a thorough introduction to the basic theory of quantum measurement and many of its important modern applications. Measurement and control is explicitly treated in superconducting circuits and optical and opto-mechanical systems, and methods for deriving the Hamiltonians of superconducting circuits are introduced in detail. Further applications covered include feedback control, metrology, open systems and thermal environments, Maxwell's demon, and the quantum-to-classical transition.
| Author | : Vladimir B. Braginsky |
| Publisher | : Cambridge University Press |
| Total Pages | : 216 |
| Release | : 1995-05-25 |
| Genre | : Science |
| ISBN | : 9780521484138 |
Download Quantum Measurement Book in PDF, ePub and Kindle
This book is an up-to-date introduction to the quantum theory of measurement, a fast developing field of intense current interest to scientists and engineers for its potential high-technology applications. It is also a subject of importance to students for its central role in the foundations of quantum mechanics. Although the main principles of the field were elaborated in the 1930s by Bohr, Schrodinger, Heisenberg, von Neumann and Mandelstam, it was not until the 1980s that technology became sufficiently advanced to allow its application in real experiments. Quantum measurements is now central to many ultra-high technology developments, such as squeezed light, single atom traps, and searches for gravitational radiation. It is also considered to have great promise for computer science and engineering, particularly for its applications in information processing and transfer. The book contains a pedagogical introduction to the relevant theory written at a level accessible to those with only a modest background in quantum mechanics. It then goes on to discuss aspects of the design of practical quantum measurement systems. This book is essential reading for all scientists and engineers interested in the potential applications of technology near the quantum limit. It will also serve as an ideal supplement to standard quantum mechanics textbooks at the advanced undergraduate or graduate level.
| Author | : Howard M. Wiseman |
| Publisher | : Cambridge University Press |
| Total Pages | : 477 |
| Release | : 2010 |
| Genre | : Mathematics |
| ISBN | : 0521804426 |
Download Quantum Measurement and Control Book in PDF, ePub and Kindle
Modern quantum measurement for graduate students and researchers in quantum information, quantum metrology, quantum control and related fields.
| Author | : Lawrence S. Schulman |
| Publisher | : Cambridge University Press |
| Total Pages | : 370 |
| Release | : 1997-07-31 |
| Genre | : Science |
| ISBN | : 9780521567756 |
Download Time's Arrows and Quantum Measurement Book in PDF, ePub and Kindle
An introduction to the arrow of time and a new, related, theory of quantum measurement.
| Author | : Arbab Ibrahim Arbab |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2018 |
| Genre | : Quantum theory |
| ISBN | : 9781536142082 |
Download Quantum Mechanics Book in PDF, ePub and Kindle
This book is a collection of pioneering research that deals with quantum mechanics from the novel point of view, ranging from theoretical to applications. Quantum mechanics and its application is one of the very progressive fields that is currently governing our technology in industry and science. It has been a long time since Schrodinger, Born, Dirac, Klein-Gordon, Schwinger, Feynman, etc. had laid the foundations of quantum mechanics. There were recently some interesting theories that are not widely known that could shape our future of quantum mechanics and its application. A new understanding is brought that deserves to be promoted worldwide. The authors aim in this book to highlight these new issues and share them with researchers and educators who are highly involved in the foundation of quantum mechanics and its application. The book consists of twelve chapters involving theory, analysis and applications. Chapter One deals with some recent progress in the theory and analytical tools of quadratic optomechanical interactions, as one of the prominent domains of contemporary nonlinear quantum optics. Chapter Two introduces a new quantum mechanics that beautifully merges Schrodinger, Dirac and Klein-Gordon equations into a single quaternionic equation. The formulation of this quantum mechanics shares the one developed in Maxwells theory. Chapter Three is concerned with developing a nonrelativistic and relativistic quantum theory of the photoeffect in the form of ionization of the atom, which is the extension of the old theory of the photoeffect. In Chapter Four, based on the analogy with the classical continuity equation, the equations of Fick and Hamilton-Jacobi, a nonlinear differential equation is derived that describes the mechanical evolution of matter as a primary fluid. In Chapter Five, a quantization of general linear dissipative systems is discussed. In Chapter Six, a quantization process that circumvents the use of the Hamiltonian approach and derives the Schrodinger equation from its first principles is developed. The remaining chapters deal with a complementary understanding on quantum mechanics from a bio-psychological perspective that helps better elucidate the weird aspects of the measurement problem in quantum mechanics, since physics in general depends on observation and interpretation, which are bio-psychological functions. Treating a symmetry as a foundational concept, quantum mechanics and measurement axioms based on abstraction of physical entities by their symmetries is reformulated. Fundamental questions, like Is quantum mechanics really timeless? are raised. Questions related to the relationship between theories and models in science are investigated. Fundamental issues to describe the main elements of a possible theory of fractional probability, which could deal with defects in observation or defect in definition are analyzed. Bohmian quantum mechanics with novel reinterpretations that provide a new understanding of quantum mechanics is advocated.
| Author | : Paul Busch |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 177 |
| Release | : 2013-11-11 |
| Genre | : Science |
| ISBN | : 3662138441 |
Download The Quantum Theory of Measurement Book in PDF, ePub and Kindle
The present treatise is concerned with the quantum mechanical theory of measurement. Since the development of quantum theory in the 1920s the measuring process has been considered a very important problem. A large number of articles have accordingly been devoted to this subject. In this way the quantum mechanical measurement problem has been a source of inspiration for physical, mathematical and philo sophical investigations into the foundations of quantum theory, which has had an impact on a great variety of research fields, ranging from the physics of macroscopic systems to probability theory and algebra. Moreover, while many steps forward have been made and much insight has been gained on the road towards a solution of the measurement problem, left open nonetheless are important questions, which have in duced several interesting developments. Hence even today it cannot be said that the measurement process has lost its topicality and excite ment. Moreover, research in this field has made contact with current advances in high technology, which provide new possibilities for per forming former Gedanken experiments. For these reasons we felt that the time had come to develop a systematic exposition of the quantum theory of measurement which might serve as a basis and reference for future research into the foundations of quantum mechanics. But there are other sources of motivation which led us to make this effort. First of all, in spite of the many contributions to measurement theory there is still no generally accepted approach.
| Author | : Marlan O. Scully |
| Publisher | : Cambridge University Press |
| Total Pages | : 664 |
| Release | : 1997-09-04 |
| Genre | : Science |
| ISBN | : 9780521435956 |
Download Quantum Optics Book in PDF, ePub and Kindle
An in-depth and wide-ranging introduction to the field of quantum optics.
| Author | : David W. Cohen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 159 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1461388414 |
Download An Introduction to Hilbert Space and Quantum Logic Book in PDF, ePub and Kindle
Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum mechanics". The equations and their philosophical underpinnings were then collected into a model based on the mathematics of Hilbert space. From the Hilbert space model came the abstaction of "quantum logics". This book explores all three stages, but not in historical order. Instead, in an effort to illustrate how physics and abstract mathematics influence each other we hop back and forth between a purely mathematical development of Hilbert space, and a physically motivated definition of a logic, partially linking the two throughout, and then bringing them together at the deepest level in the last two chapters. This book should be accessible to undergraduate and beginning graduate students in both mathematics and physics. The only strict prerequisites are calculus and linear algebra, but the level of mathematical sophistication assumes at least one or two intermediate courses, for example in mathematical analysis or advanced calculus. No background in physics is assumed.
| Author | : Heinz-Peter Breuer |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 648 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : 9780198520634 |
Download The Theory of Open Quantum Systems Book in PDF, ePub and Kindle
This book treats the central physical concepts and mathematical techniques used to investigate the dynamics of open quantum systems. To provide a self-contained presentation the text begins with a survey of classical probability theory and with an introduction into the foundations of quantum mechanics with particular emphasis on its statistical interpretation. The fundamentals of density matrix theory, quantum Markov processes and dynamical semigroups are developed. The most important master equations used in quantum optics and in the theory of quantum Brownian motion are applied to the study of many examples. Special attention is paid to the theory of environment induced decoherence, its role in the dynamical description of the measurement process and to the experimental observation of decohering Schrodinger cat states. The book includes the modern formulation of open quantum systems in terms of stochastic processes in Hilbert space. Stochastic wave function methods and Monte Carlo algorithms are designed and applied to important examples from quantum optics and atomic physics, such as Levy statistics in the laser cooling of atoms, and the damped Jaynes-Cummings model. The basic features of the non-Markovian quantum behaviour of open systems are examined on the basis of projection operator techniques. In addition, the book expounds the relativistic theory of quantum measurements and discusses several examples from a unified perspective, e.g. non-local measurements and quantum teleportation. Influence functional and super-operator techniques are employed to study the density matrix theory in quantum electrodynamics and applications to the destruction of quantum coherence are presented. The text addresses graduate students and lecturers in physics and applied mathematics, as well as researchers with interests in fundamental questions in quantum mechanics and its applications. Many analytical methods and computer simulation techniques are developed and illustrated with the help of numerous specific examples. Only a basic understanding of quantum mechanics and of elementary concepts of probability theory is assumed.
| Author | : Alberto Barchielli |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 331 |
| Release | : 2009-07-21 |
| Genre | : Mathematics |
| ISBN | : 3642012973 |
Download Quantum Trajectories and Measurements in Continuous Time Book in PDF, ePub and Kindle
This course-based monograph introduces the reader to the theory of continuous measurements in quantum mechanics and provides some benchmark applications. The approach chosen, quantum trajectory theory, is based on the stochastic Schrödinger and master equations, which determine the evolution of the a-posteriori state of a continuously observed quantum system and give the distribution of the measurement output. The present introduction is restricted to finite-dimensional quantum systems and diffusive outputs. Two appendices introduce the tools of probability theory and quantum measurement theory which are needed for the theoretical developments in the first part of the book. First, the basic equations of quantum trajectory theory are introduced, with all their mathematical properties, starting from the existence and uniqueness of their solutions. This makes the text also suitable for other applications of the same stochastic differential equations in different fields such as simulations of master equations or dynamical reduction theories. In the next step the equivalence between the stochastic approach and the theory of continuous measurements is demonstrated. To conclude the theoretical exposition, the properties of the output of the continuous measurement are analyzed in detail. This is a stochastic process with its own distribution, and the reader will learn how to compute physical quantities such as its moments and its spectrum. In particular this last concept is introduced with clear and explicit reference to the measurement process. The two-level atom is used as the basic prototype to illustrate the theory in a concrete application. Quantum phenomena appearing in the spectrum of the fluorescence light, such as Mollow’s triplet structure, squeezing of the fluorescence light, and the linewidth narrowing, are presented. Last but not least, the theory of quantum continuous measurements is the natural starting point to develop a feedback control theory in continuous time for quantum systems. The two-level atom is again used to introduce and study an example of feedback based on the observed output.
