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Coherent Dynamics of Complex Quantum Systems
Author: Vladimir M. Akulin
Publisher: Springer Science & Business Media
ISBN: 3540210520
Pages: 472
Year: 2005-09-13
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Coherent Dynamics of Complex Quantum Systems is aimed at senior-level undergraduate students in the areas of atomic, molecular, and laser physics, physical chemistry, quantum optics and quantum informatics. It should help them put particular problems in these fields into a broader scientific context and thereby take advantage of the well-elaborated technique of the adjacent fields.
Dynamics of Complex Quantum Systems
Author: Vladimir M. Akulin
Publisher: Springer Science & Business Media
ISBN: 940077205X
Pages: 677
Year: 2013-12-30
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This book gathers together a range of similar problems that can be encountered in different fields of modern quantum physics and that have common features with regard to multilevel quantum systems. The main motivation was to examine from a uniform standpoint various models and approaches that have been developed in atomic, molecular, condensed matter, chemical, laser and nuclear physics in various contexts. The book should help senior-level undergraduate, graduate students and researchers putting particular problems in these fields into a broader scientific context and thereby taking advantage of well-established techniques used in adjacent fields. This second edition has been expanded to include substantial new material (e.g. new sections on Dynamic Localization and on Euclidean Random Matrices and new chapters on Entanglement, Open Quantum Systems, and Coherence Protection). It is based on the author’s lectures at the Moscow Institute of Physics and Technology, at the CNRS Aimé Cotton Laboratory, and on other courses he has given over the last two decades.
Complex Quantum Systems
Author: Heinz Siedentop
Publisher: World Scientific
ISBN: 9814460168
Pages: 304
Year: 2013-05-20
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This volume is based on lectures given during the program “Complex Quantum Systems” held at the National University of Singapore's Institute for Mathematical Sciences from 17 February to 27 March 2010. It guides the reader through two introductory expositions on large Coulomb systems to five of the most important developments in the field: derivation of mean field equations, derivation of effective Hamiltonians, alternative high precision methods in quantum chemistry, modern many-body methods originating from quantum information, and — the most complex — semirelativistic quantum electrodynamics. These introductions are written by leaders in their fields; amongst them are Volker Bach, Rafael Benguria, Thomas Chen, and Jan Philip Solovej. Together, they fill a gap between current textbooks and the vast modern literature on complex quantum systems. Contents:Stability of Matter (Rafael D Benguria and Benjamín A Loewe)Mathematical Density and Density Matrix Functional Theory (DFT and DMFT) (Volker Bach)On the Dynamics of a Fermi Gas in a Random Medium with Dynamical Hartree–Fock Interactions (Thomas Chen)On the Minimization of Hamiltonians over Pure Gaussian States (Jan Dereziński, Marcin Napiórkowski and Jan Philip Solovej)Variational Approach to Electronic Structure Calculations on Second-Order Reduced Density Matrices and the N-Representability Problem (Maho Nakata, Mituhiro Fukuda, and Katsuki Fujisawa)Fermionic Quantum Many-Body Systems: A Quantum Information Approach (Christina V Kraus)Hydrogen-Like Atoms in Relativistic QED (Martin Könenberg, Oliver Matte, and Edgardo Stockmeyer) Readership: Mathematicians and mathematical physicists, advanced graduate students and researchers in rigorous many body theory. Keywords:Analysis;Large Coulomb Systems;Stability;Correlation Inequalities;Effective Equations;Quantum Information;Matrix Product States;Quantum Electrodynamics
Decoherence, Entanglement and Information Protection in Complex Quantum Systems
Author: Vladimir M. Akulin, A. Sarfati, G. Kurizki, S. Pellegrin
Publisher: Springer Science & Business Media
ISBN: 140203282X
Pages: 704
Year: 2005-08-10
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Quantum Systems in Chemistry and Physics
Author: Alfonso Hernández-Laguna, Jean Maruani, R. McWeeny, Stephen Wilson
Publisher: Springer Science & Business Media
ISBN: 1402004087
Pages: 416
Year: 2001-11-30
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These two volumes together comprise forty papers coming from the most outstanding contributions to the third European Quantum Systems in Chemistry and Physics Workshop held in Granada, Spain (1997). These books cover a very broad spectrum of scientific research work from quantum-mechanical many-body methods to important applications and computational developments, and from atoms and molecules to condensed matter. The first volume is subtitled Basic Problems and Model Systems, and includes the following topics: density matrices and density functionals, electron correlation effects, relativistic formulations, valence theory, and nuclear motions. The second volume is subtitled Advanced Problems and Complex Systems and covers the following topics: response theory, condensed matter, reactive collisions and chemical reactions, and computational chemistry and physics.
Quantum Tunneling in Complex Systems
Author: Joachim Ankerhold
Publisher: Springer
ISBN: 3540680764
Pages: 210
Year: 2007-04-20
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In the last two decades remarkable progress has been made in understanding and describing tunneling processes in complex systems in terms of classical trajectories. This book introduces recent concepts and achievements. There is particular emphasis on a dynamical formulation and relations to specific systems in mesoscopic, molecular, atomic and nuclear physics.
Thermodynamics and Synchronization in Open Quantum Systems
Author: Gonzalo Manzano Paule
Publisher: Springer
ISBN: 3319939645
Pages: 411
Year: 2018-07-04
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This book explores some of the connections between dissipative and quantum effects from a theoretical point of view. It focuses on three main topics: the relation between synchronization and quantum correlations, the thermodynamical properties of fluctuations, and the performance of quantum thermal machines. Dissipation effects have a profound impact on the behavior and properties of quantum systems, and the unavoidable interaction with the surrounding environment, with which systems continuously exchange information, energy, angular momentum and matter, is ultimately responsible for decoherence phenomena and the emergence of classical behavior. However, there is a wide intermediate regime in which the interplay between dissipative and quantum effects gives rise to a plethora of rich and striking phenomena that has just started to be understood. In addition, the recent breakthrough techniques in controlling and manipulating quantum systems in the laboratory have made this phenomenology accessible in experiments and potentially applicable.
Statistical Benchmarks for Quantum Transport in Complex Systems
Author: Mattia Walschaers
Publisher: Springer
ISBN: 3319931512
Pages: 450
Year: 2018-07-31
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This book introduces a variety of statistical tools for characterising and designing the dynamical features of complex quantum systems. These tools are applied in the contexts of energy transfer in photosynthesis, and boson sampling. In dynamical quantum systems, complexity typically manifests itself via the interference of a rapidly growing number of paths that connect the initial and final states. The book presents the language of graphs and networks, providing a useful framework to discuss such scenarios and explore the rich phenomenology of transport phenomena. As the complexity increases, deterministic approaches rapidly become intractable, which leaves statistics as a viable alternative.
Decoherence and Entropy in Complex Systems
Author: Hans-Thomas Elze
Publisher: Springer Science & Business Media
ISBN: 3540206396
Pages: 403
Year: 2004-01-20
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The contributions to this volume are based on selected lectures from the first international workshop on decoherence, information, complexity and entropy (DICE). The aim of this volume is to reflect the growing importance ot common concepts behind seemingly different fields such as quantum mechanics, general relativity and statistical physics in a form accessible to nonspecialist researchers. Many presentations include original results which published here for the first time.
Non-perturbative Description of Quantum Systems
Author: Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov
Publisher: Springer
ISBN: 3319130064
Pages: 362
Year: 2014-12-18
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This book introduces systematically the operator method for the solution of the Schrödinger equation. This method permits to describe the states of quantum systems in the entire range of parameters of Hamiltonian with a predefined accuracy. The operator method is unique compared with other non-perturbative methods due to its ability to deliver in zeroth approximation the uniformly suitable estimate for both ground and excited states of quantum system. The method has been generalized for the application to quantum statistics and quantum field theory. In this book, the numerous applications of operator method for various physical systems are demonstrated. Simple models are used to illustrate the basic principles of the method which are further used for the solution of complex problems of quantum theory for many-particle systems. The results obtained are supplemented by numerical calculations, presented as tables and figures.
Quantum Tunneling in Complex Systems
Author: Joachim Ankerhold
Publisher: Springer Science & Business Media
ISBN: 3540680748
Pages: 210
Year: 2007-02-15
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In the last two decades remarkable progress has been made in understanding and describing tunneling processes in complex systems in terms of classical trajectories. This book introduces recent concepts and achievements with particular emphasis on a dynamical formulation and relations to specific systems in mesoscopic, molecular, and atomic physics. Advanced instanton techniques, e.g. for decay rates and tunnel splittings, are discussed in the first part. The second part covers current developments for wave-packet tunneling in real-time, and the third part describes thermodynamics and dynamical approaches for barrier transmission in statistical, particularly dissipative systems.
The Theory of Open Quantum Systems
Author: Heinz-Peter Breuer, Francesco Petruccione
Publisher: Oxford University Press on Demand
ISBN: 0198520638
Pages: 625
Year: 2002
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The physics of open quantum systems plays a major role in modern experiments and theoretical developments of quantum mechanics. Written for graduate students and readers with research interests in open systems, this book provides an introduction into the main ideas and concepts, in addition to developing analytical methods and computer simulation techniques.
Quantum Dynamics of Complex Molecular Systems
Author: David A. Micha, Irene Burghardt
Publisher: Springer Science & Business Media
ISBN: 3540344608
Pages: 429
Year: 2006-11-22
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Quantum phenomena are ubiquitous in complex molecular systems - as revealed by many experimental observations based upon ultrafast spectroscopic techniques - and yet remain a challenge for theoretical analysis. The present volume, based on a May 2005 workshop, examines and reviews the state-of-the-art in the development of new theoretical and computational methods to interpret the observed phenomena. Emphasis is on complex molecular processes involving surfaces, clusters, solute-solvent systems, materials, and biological systems. The research summarized in this book shows that much can be done to explain phenomena in systems excited by light or through atomic interactions. It demonstrates how to tackle the multidimensional dynamics arising from the atomic structure of a complex system, and addresses phenomena in condensed phases as well as phenomena at surfaces. The chapters on new methodological developments cover both phenomena in isolated systems, and phenomena which involve the statistical effects of an environment, such as fluctuations and dissipation. The methodology part explores new rigorous ways to formulate mixed quantum-classical dynamics in many dimensions, along with new ways to solve a many-atom Schroedinger equation, or the Liouville-von Neumann equation for the density operator, using trajectories and ideas related to hydrodynamics. Part I treats applications to complex molecular systems, and Part II covers new theoretical and computational methods
Quantum Efficiency in Complex Systems
Author: Uli Würfel, Michael Thorwart, Eicke R. Weber
Publisher: Academic Press
ISBN: 0123910609
Pages: 366
Year: 2011
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Summary: Radiationless transfer of excitation energy is at the hear of many processes in quantum physics, chemistry and nanotechnology. Currently, the standard picture of an incoherent Förster resonant excitation transfer is being challenged by the experimental findings of a long-lived quantum mechanical coherence in biomolecular light harvesting complexes. The role of this in molecular aggregates is addressed in the first part of this volume. Utilizing some of the underlying principles to optimize nano scale devices, the second part addresses systems of colloid quantum dots and polymer based organic solar cells.
Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems
Author: Hidemaro Suwa
Publisher: Springer Science & Business Media
ISBN: 4431545174
Pages: 126
Year: 2013-11-05
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In this thesis, novel Monte Carlo methods for precisely calculating the critical phenomena of the effectively frustrated quantum spin system are developed and applied to the critical phenomena of the spin-Peierls systems. Three significant methods are introduced for the first time: a new optimization algorithm of the Markov chain transition kernel based on the geometric weight-allocation approach, the extension of the worm (directed-loop) algorithm to nonconserved particles, and the combination with the level spectroscopy. Utilizing these methods, the phase diagram of the one-dimensional XXZ spin-Peierls system is elucidated. Furthermore, the multi-chain and two-dimensional spin-Peierls systems with interchain lattice interaction are investigated. The unbiased simulation shows that the interesting quantum phase transition between the 1D-like liquid phase and the macroscopically-degenerated dimer phase occurs on the fully-frustrated parameter line that separates the doubly-degenerated dimer phases in the two-dimensional phase diagram. The spin-phonon interaction in the spin-Peierls system introduces the spin frustration, which usually hinders the quantum Monte Carlo analysis, owing to the notorious negative sign problem. In this thesis, the author has succeeded in precisely calculating the critical phenomena of the effectively frustrated quantum spin system by means of the quantum Monte Carlo method without the negative sign.

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