Author: Carlo Di FrancoPublisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Information Flux Approach to the Quantum Dynamics of Spin Chain Systems
Author: Carlo Di FrancoInformation Flux Approach to the Quantum Dynamics of Spin Chain Systems
Author: C. D. i FrancoAn Introduction to Quantum Spin Systems
Author: John B. ParkinsonPublisher: Springer Science & Business Media
ISBN: 3642132898
Category : Science
Languages : en
Pages : 159
Book Description
The topic of lattice quantum spin systems is a fascinating and by now well established branch of theoretical physics. Based on a set of lectures, this book has a level of detail missing from others, and guides the reader through the fundamentals of the field.
Crossover-Time in Quantum Boson and Spin Systems
Author: Gennady P. BermanPublisher: Springer Science & Business Media
ISBN: 3540484159
Category : Science
Languages : en
Pages : 279
Book Description
The authors compare classical and quantum dynamics in the quasiclassical region of parameters and under the condition of unstable (chaotic) classical behavior. They estimate the characteristic time-scale at which classical and quantum solutions start to differ significantly. The method is based on exact equations for time-dependent expectation values in boson and spin coherent states, and applies to rather general Hamiltonians with many degrees of freedom. The authors develop a consistent dynamical theory for quantum nonintegrable Hamiltonians and provide explicit examples of classical-quantum "crossover-time", a very common and fundamental phenomenon in quantum nonintegrable systems. This book can be recommended to graduate students and to specialists.
Frustrated Spin Systems
Author: H. T. DiepPublisher: World Scientific
ISBN: 9814440744
Category : Science
Languages : en
Pages : 644
Book Description
This book covers all principal aspects of currently investigated frustrated systems, from exactly solved frustrated models to real experimental frustrated systems, going through renormalization group treatment, Monte Carlo investigation of frustrated classical Ising and vector spin models, low-dimensional systems, spin ice and quantum spin glass. The reader can OCo within a single book OCo obtain a global view of the current research development in the field of frustrated systems.This new edition is updated with recent theoretical, numerical and experimental developments in the field of frustrated spin systems. The first edition of the book appeared in 2005. In this edition, more recent works until 2012 are reviewed. It contains nine chapters written by researchers who have actively contributed to the field. Many results are from recent works of the authors.The book is intended for postgraduate students as well as researchers in statistical physics, magnetism, materials science and various domains where real systems can be described with the spin language. Explicit demonstrations of formulas and full arguments leading to important results are given where it is possible to do so."
Dynamics of Quantum Spin Chains from Integrability
Author: Rogier Pieter VlijmPublisher:
ISBN: 9789402802900
Category :
Languages : en
Pages : 207
Book Description
"The study of several quantum magnetic phenomena in this thesis is driven by the experimental realizability of quantum spin chain models of one-dimensional magnetism. The theoretical models employed to study these physical phenomena are integrable quantum spin chains, in particular the anisotropic Heisenberg spin-1/2 model and the Babujan-Takhtajan spin-1 model, while additional (non-)integrable magnetic potentials or spin-spin interactions are considered as well. The dynamics of spin chains are computationally accessible by numerically summing up large amounts of matrix elements of local spin operators between eigenstates of the quantum integrable spin models in a parallelized fashion. The availability of matrix element expressions from quantum integrability constitutes an important connection between the deep mathematical structure of integrable spin chains and experimentally measurable local observables and correlations on magnetic systems. By the aforementioned integrability based method, the dynamics of quasi-particles of quantum spin chains can be assessed. In particular, the scattering effects of bound magnons, the time evolution of spinons, and time-evolution with additional integrability-breaking spin-spin interactions are computed and visualized. Moreover, for several cases the dynamical structure factor is computed, which is relevant to inelastic neutron scattering experiments. Extensions to correlations away from the ground state are investigated, providing opportunities of studying thermal correlations as well."--Samenvatting auteur.
Lectures on Spin Dynamics
Author: Giuseppe PileioPublisher: Royal Society of Chemistry
ISBN: 1839166738
Category : Science
Languages : en
Pages : 216
Book Description
This book consists of a series of lectures introducing what the author believes to be the theoretical minimum for the understanding of nuclear spin dynamics, the branch of physics underpinning magnetic resonance techniques such as NMR and MRI. Spin dynamics ultimately concern the study of the state and time evolution of systems made by a large collection of particles possessing spin, one of the most subtle and indeed fascinating concepts in relativistic quantum mechanics and whose understanding requires a mix of quantum mechanics, Hamiltonian dynamics and advanced mathematics. Written in the concise and direct style appropriate for university lectures, this book is addressed to both undergraduate and postgraduate students who are approaching magnetic resonance studies and want to reach the theoretical minimum required to understand the wider topic and its main applications. The book is suitable for researchers who work in the field of magnetic resonance and want to know more about its theoretical fundamentals. Finally, built as a complete set of 12 lectures and 4 workshops, the book can act as a solid reference to lecturers of magnetic resonance university modules. Trained in a world-leading research laboratory internationally recognised for its contributions to the NMR field, the author has a track record in theoretical and methodological developments of nuclear spin dynamics. In this book, he tries to merge his passion for the understanding of physics through its mathematical rendering with his personal quest for the elegance of a clean, clear and satisfactory explanation.
Controlling the Dynamics of Classical and Quantum Information in Spin Systems
Author: Parin B. DalalPublisher:
ISBN:
Category :
Languages : en
Pages : 141
Book Description
The precise, human control of quantum systems, by its definition, must combine models of the classical and the quantum world into a calculus that supports both. Open, irreversible quantum systems must interact with closed, reversible quantum systems to predict evolutions that are partially open and closed. Inevitably, the problems of quantum measurement, the assumptions of scattering, and the role of spacetime comes under scrutiny. Such considerations have extraordinary practical value: the precise control of a quantum information is the cornerstone of scalable quantum computing. Traditionally, quantum control theory as well as a formalism of redundancy and partial measurements, known as quantum error correction, attempt to remedy systematic quantum-noise and random quantum-noise respectively, but have had mixed success. This dissertation examines how the imprecision of control in quantum and classical spin systems affects the flow of select information to a receiver and how such systems may be optimized against the imprecise scattering of control fields and spins. To this end, this dissertation intertwines the physics of state evolution with the physics of information control in classical and quantum systems. First in classical systems, a method for encoding and decoding classical spin-processing information provides an example of information flow. Then an analytic calculation of a semi-conductor spin channel's information capacity is performed. The results limit the rate of information processing and inform the design of materials for optimal spintronic information-processing in semiconductors. Next, noisy quantum interactions are described, so that the complexities of correcting small, random phase errors using traditional control theory and quantum error correction may be explained. How these noisy processes affect the relevant information flow of a quantum algorithm (derivatives of the Quantum Fourier Transform and Grover Search) is considered, several novel methods of source-coding for these quantum channels are presented and their efficacy calculated. These methods include Unitary-Fault Tolerance, Clifford operations of locally-variant basis, and an entropic controller. Together they show classical systems in the steady state can be used to control scalable, high-precision quantum-computing machines, and ultimately may eliminate all temporal control from quantum operations.
Quantum State Transfer and Network Engineering
Author: Georgios M. NikolopoulosPublisher: Springer Science & Business Media
ISBN: 3642399371
Category : Computers
Languages : en
Pages : 258
Book Description
Faithful communication is a necessary precondition for large-scale quantum information processing and networking, irrespective of the physical platform. Thus, the problems of quantum-state transfer and quantum-network engineering have attracted enormous interest over the last years, and constitute one of the most active areas of research in quantum information processing. The present volume introduces the reader to fundamental concepts and various aspects of this exciting research area, including links to other related areas and problems. The implementation of state-transfer schemes and the engineering of quantum networks are discussed in the framework of various quantum optical and condensed matter systems, emphasizing the interdisciplinary character of the research area. Each chapter is a review of theoretical or experimental achievements on a particular topic, written by leading scientists in the field. The volume aims at both newcomers as well as experienced researchers.
Symbol Correspondences for Spin Systems
Author: Pedro de M. RiosPublisher: Birkhäuser
ISBN: 9783319081991
Category : Mathematics
Languages : en
Pages : 200
Book Description
In mathematical physics, the correspondence between quantum and classical mechanics is a central topic, which this book explores in more detail in the particular context of spin systems, that is, SU(2)-symmetric mechanical systems. A detailed presentation of quantum spin-j systems, with emphasis on the SO(3)-invariant decomposition of their operator algebras, is first followed by an introduction to the Poisson algebra of the classical spin system and then by a similarly detailed examination of its SO(3)-invariant decomposition. The book next proceeds with a detailed and systematic study of general quantum-classical symbol correspondences for spin-j systems and their induced twisted products of functions on the 2-sphere. This original systematic presentation culminates with the study of twisted products in the asymptotic limit of high spin numbers. In the context of spin systems it shows how classical mechanics may or may not emerge as an asymptotic limit of quantum mechanics. The book will be a valuable guide for researchers in this field and its self-contained approach also makes it a helpful resource for graduate students in mathematics and physics.