Introduction To Quantum Control And Dynamics
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Introduction To Quantum Control And Dynamics
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Author : Domenico D'Alessandro
language : en
Publisher: CRC Press
Release Date : 2007-08-03
Introduction To Quantum Control And Dynamics written by Domenico D'Alessandro and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-03 with Mathematics categories.
The introduction of control theory in quantum mechanics has created a rich, new interdisciplinary scientific field, which is producing novel insight into important theoretical questions at the heart of quantum physics. Exploring this emerging subject, Introduction to Quantum Control and Dynamics presents the mathematical concepts and fundamental ph
Introduction To Quantum Control And Dynamics
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Author : Domenico D’Alessandro
language : en
Publisher: CRC Press
Release Date : 2021-07-28
Introduction To Quantum Control And Dynamics written by Domenico D’Alessandro and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-28 with Mathematics categories.
The introduction of control theory in quantum mechanics has created a rich, new interdisciplinary scientific field, which is producing novel insight into important theoretical questions at the heart of quantum physics. Exploring this emerging subject, Introduction to Quantum Control and Dynamics presents the mathematical concepts and fundamental physics behind the analysis and control of quantum dynamics, emphasizing the application of Lie algebra and Lie group theory. To advantage students, instructors and practitioners, and since the field is highly interdisciplinary, this book presents an introduction with all the basic notions in the same place. The field has seen a large development in parallel with the neighboring fields of quantum information, computation and communication. The author has maintained an introductory level to encourage course use. After introducing the basics of quantum mechanics, the book derives a class of models for quantum control systems from fundamental physics. It examines the controllability and observability of quantum systems and the related problem of quantum state determination and measurement. The author also uses Lie group decompositions as tools to analyze dynamics and to design control algorithms. In addition, he describes various other control methods and discusses topics in quantum information theory that include entanglement and entanglement dynamics. Changes to the New Edition: New Chapter 4: Uncontrollable Systems and Dynamical Decomposition New section on quantum control landscapes A brief discussion of the experiments that earned the 2012 Nobel Prize in Physics Corrections and revised concepts are made to improve accuracy Armed with the basics of quantum control and dynamics, readers will invariably use this interdisciplinary knowledge in their mathematics, physics and engineering work.
Quantum Measurement And Control
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Author : Howard M. Wiseman
language : en
Publisher: Cambridge University Press
Release Date : 2010
Quantum Measurement And Control written by Howard M. Wiseman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
Modern quantum measurement for graduate students and researchers in quantum information, quantum metrology, quantum control and related fields.
Quantum Dynamics With Trajectories
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Author : Robert E. Wyatt
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-28
Quantum Dynamics With Trajectories written by Robert E. Wyatt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-28 with Mathematics categories.
This is a rapidly developing field to which the author is a leading contributor New methods in quantum dynamics and computational techniques, with applications to interesting physical problems, are brought together in this book Useful to both students and researchers
Formulation And Numerical Solution Of Quantum Control Problems
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Author : Alfio Borzi
language : en
Publisher: SIAM
Release Date : 2017-07-06
Formulation And Numerical Solution Of Quantum Control Problems written by Alfio Borzi and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-06 with Technology & Engineering categories.
This book provides an introduction to representative nonrelativistic quantum control problems and their theoretical analysis and solution via modern computational techniques. The quantum theory framework is based on the Schr?dinger picture, and the optimization theory, which focuses on functional spaces, is based on the Lagrange formalism. The computational techniques represent recent developments that have resulted from combining modern numerical techniques for quantum evolutionary equations with sophisticated optimization schemes. Both finite and infinite-dimensional models are discussed, including the three-level Lambda system arising in quantum optics, multispin systems in NMR, a charged particle in a well potential, Bose?Einstein condensates, multiparticle spin systems, and multiparticle models in the time-dependent density functional framework. This self-contained book covers the formulation, analysis, and numerical solution of quantum control problems and bridges scientific computing, optimal control and exact controllability, optimization with differential models, and the sciences and engineering that require quantum control methods. ??
Introduction To Quantum Computers
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Author : Gennady P. Berman
language : en
Publisher: World Scientific
Release Date : 1998
Introduction To Quantum Computers written by Gennady P. Berman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Computers categories.
Quantum computing promises to solve problems which are intractable on digital computers. Highly parallel quantum algorithms can decrease the computational time for some problems by many orders of magnitude. This important book explains how quantum computers can do these amazing things. Several algorithms are illustrated: the discrete Fourier transform, Shor's algorithm for prime factorization; algorithms for quantum logic gates; physical implementations of quantum logic gates in ion traps and in spin chains; the simplest schemes for quantum error correction; correction of errors caused by imperfect resonant pulses; correction of errors caused by the nonresonant actions of a pulse; and numerical simulations of dynamical behavior of the quantum Control-Not gate. An overview of some basic elements of computer science is presented, including the Turing machine, Boolean algebra, and logic gates. The required quantum ideas are explained.
Quantum Dynamics And Laser Control For Photochemistry
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Author : Matthieu Sala
language : en
Publisher: Springer
Release Date : 2016-01-23
Quantum Dynamics And Laser Control For Photochemistry written by Matthieu Sala and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-23 with Science categories.
The central subject of this thesis is the theoretical description of ultrafast dynamical processes in molecular systems of chemical interest and their control by laser pulses. This work encompasses different cutting-edge methods in quantum chemistry, quantum dynamics and for the rigorous description of the interaction of light and matter at the molecular level. It provides a general quantum mechanical framework for the description of chemical processes guided by laser pulses, in particular near conical intersections, i.e. geometries where the nuclear and electronic motions couple and the molecule undergoes non-adiabatic (or non-Born-Oppenheimer) dynamics. In close collaboration with experimentalists, the author succeeds in making a decisive step to link and to apply quantum physics to chemistry by transferring state of the art techniques and concepts developed in physics to chemistry, such as “light dressed atoms and molecules” and “adiabatic Floquet theory”. He applies these techniques in three prototypic model systems (aniline, pyrazine and NHD2) using high-level electronic structure calculations. Readers will enjoy the comprehensive and accessible introduction to the topic and methodology, as well as the clear structure of the thesis.
Quantum Control Of Molecular Processes
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Author : Moshe Shapiro
language : en
Publisher: John Wiley & Sons
Release Date : 2012-09-19
Quantum Control Of Molecular Processes written by Moshe Shapiro and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-19 with Science categories.
Written by two of the world's leading researchers in the field, this is a systematic introduction to the fundamental principles of coherent control, and to the underlying physics and chemistry. This fully updated second edition is enhanced by 80% and covers the latest techniques and applications, including nanostructures, attosecond processes, optical control of chirality, and weak and strong field quantum control. Developments and challenges in decoherence-sensitive condensed phase control as well as in bimolecular control are clearly described. Indispensable for atomic, molecular and chemical physicists, physical chemists, materials scientists and nanotechnologists.
Molecular Quantum Dynamics
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Author : Fabien Gatti
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-04-09
Molecular Quantum Dynamics written by Fabien Gatti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-09 with Science categories.
This book focuses on current applications of molecular quantum dynamics. Examples from all main subjects in the field, presented by the internationally renowned experts, illustrate the importance of the domain. Recent success in helping to understand experimental observations in fields like heterogeneous catalysis, photochemistry, reactive scattering, optical spectroscopy, or femto- and attosecond chemistry and spectroscopy underline that nuclear quantum mechanical effects affect many areas of chemical and physical research. In contrast to standard quantum chemistry calculations, where the nuclei are treated classically, molecular quantum dynamics can cover quantum mechanical effects in their motion. Many examples, ranging from fundamental to applied problems, are known today that are impacted by nuclear quantum mechanical effects, including phenomena like tunneling, zero point energy effects, or non-adiabatic transitions. Being important to correctly understand many observations in chemical, organic and biological systems, or for the understanding of molecular spectroscopy, the range of applications covered in this book comprises broad areas of science: from astrophysics and the physics and chemistry of the atmosphere, over elementary processes in chemistry, to biological processes (such as the first steps of photosynthesis or vision). Nevertheless, many researchers refrain from entering this domain. The book "Molecular Quantum Dynamics" offers them an accessible introduction. Although the calculation of large systems still presents a challenge - despite the considerable power of modern computers - new strategies have been developed to extend the studies to systems of increasing size. Such strategies are presented after a brief overview of the historical background. Strong emphasis is put on an educational presentation of the fundamental concepts, so that the reader can inform himself about the most important concepts, like eigenstates, wave packets, quantum mechanical resonances, entanglement, etc. The chosen examples highlight that high-level experiments and theory need to work closely together. This book thus is a must-read both for researchers working experimentally or theoretically in the concerned fields, and generally for anyone interested in the exciting world of molecular quantum dynamics.
Quantum Mechanics
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Author : Biao Wu
language : en
Publisher: Springer Nature
Release Date : 2023-03-26
Quantum Mechanics written by Biao Wu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-26 with Science categories.
This textbook highlights a concise introduction to quantum mechanics in a readable and serious manner. Being readable, the book intends to present the beauty and magic of quantum mechanics to the mass public. Being serious, the book uses mathematics to describe the most profound results in quantum mechanics. To balance the two, the book assumes that the readers are familiar with high-school mathematics and instructs the least possible advanced mathematics necessary for the understanding of quantum mechanics. The book first covers the history of quantum mechanics and then introduces the magical quantum world, including quantum states living in Hilbert space, indistinguishable particles, linear superposition, Heisenberg's uncertainty relations, quantum entanglement, Bell's inequality, quantum energy levels, Schrödinger’s cat and many-worlds theory, etc. To compare with classic physics, the book also covers the classic mechanics before introducing quantum mechanics. At last, the book briefly covers quantum computing and quantum communications. Besides readers of other majors, the book is also a good reference for students in physics. It helps physics students to develop a solid understanding of the basics of quantum mechanics, preventing them from getting lost in solving the Schrödinger equation. The book also discusses quantum entanglement and quantum information which traditional quantum mechanics textbooks do not cover. The Foreword is written by Frank Wilczek, Nobel Laureate in physics, 2004. This book is a translation of an original Chinese edition. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation.