Books: 'Quantum spin models'

1

The spin structure of the proton. Singapore: World Scientific, 2008.

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2

1973-, Warzel Simone, ed. Random operators: Disorder effects on quantum spectra and dynamics. Providence, Rhode Island: American Mathematical Society, 2015.

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3

Barcelona), International Workshop on Quantum Effects in the MSSM (1997 Universitat Autónoma de. Proceedings of the International Workshop on Quantum Effects in the MSSM: Universitat Autònoma de Barcelona, Catalonia, Spain, 9-13 September 1997. Singapore: World Scientific, 1998.

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4

Trends in number theory: Fifth Spanish meeting on number theory, July 8-12, 2013, Universidad de Sevilla, Sevilla, Spain. Providence, Rhode Island: American Mathematical Society, 2015.

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5

Eckle, Hans-Peter. Models of Quantum Matter. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780199678839.001.0001.

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This book focuses on the theory of quantum matter, strongly interacting systems of quantum many–particle physics, particularly on their study using exactly solvable and quantum integrable models with Bethe ansatz methods. Part 1 explores the fundamental methods of statistical physics and quantum many–particle physics required for an understanding of quantum matter. It also presents a selection of the most important model systems to describe quantum matter ranging from the Hubbard model of condensed matter physics to the Rabi model of quantum optics. The remaining five parts of the book examines appropriate special cases of these models with respect to their exact solutions using Bethe ansatz methods for the ground state, finite–size, and finite temperature properties. They also demonstrate the quantum integrability of an exemplary model, the Heisenberg quantum spin chain, within the framework of the quantum inverse scattering method and through the algebraic Bethe ansatz. Further models, whose Bethe ansatz solutions are derived and examined, include the Bose and Fermi gases in one dimension, the one–dimensional Hubbard model, the Kondo model, and the quantum Tavis–Cummings model, the latter a model descendent from the Rabi model.

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6

Golizadeh-Mojarad, Roksana, and Supriyo Datta. NEGF-based models for dephasing in quantum transport. Edited by A. V. Narlikar and Y. Y. Fu. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199533046.013.3.

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This article describes the use of NEGF-based models for elastic dephasing in quantum transport. The non-equilibrium Green's function (NEGF) method provides a rigorous prescription for including any kind of dephasing mechanisms to any order starting from a microscopic Hamiltonian through an appropriate choice of the self-energy function. The article first introduces the general approach to quantum transport that provides a general method for modelling a wide class of nanotransistor and spin devices. It then discusses the effect of different types of dephasing on momentum and spin relaxation before considering three simple phenomenological choices of the self-energy function that allows one to incorporate spin, phase and momentum relaxation independently. It also looks at an example that takes into account these three types of dephasing mechanisms: the ‘spin-Hall’ effect.

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7

Chakrabarti, Bikas K., Amit Dutta, Gabriel Aeppli, Uma Divakaran, and Thomas F. Rosenbaum. Quantum Phase Transitions in Transverse Field Spin Models: Genome Organization and Gene Expression Tools. University of Cambridge ESOL Examinations, 2015.

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8

Brezin, E. The Large N Expansion in Quantum Field Theory and Statistical Physics: From Spin Systems to 2-Dimensional Gravity. World Scientific Publishing Company, 1991.

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9

Brezin, E. The Large N Expansion in Quantum Field Theory and Statistical Physics: From Spin Systems to 2-Dimensional Gravity. World Scientific Pub Co Inc, 1991.

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10

E, Brézin, and Wadia S. R, eds. The Large N expansion in quantum field theory and statistical physics: From spin systems to 2-dimensional gravity. Singapore: World Scientific, 1993.

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11

Greiter, Martin. Mapping of Parent Hamiltonians: From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains. Springer, 2011.

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12

Glazov, M. M. Electron Spin Decoherence by Nuclei. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198807308.003.0007.

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The discussion of the electron spin decoherence and relaxation phenomena via the hyperfine interaction with host lattice spins is presented here. The spin relaxation processes processes limit the conservation time of spin states as well as the response time of the spin system to external perturbations. The central spin model, where the spin of charge carrier interacts with the bath of nuclear spins, is formulated. We also present different methods to calculate the spin dynamics within this model. Simple but physically transparent semiclassical treatment where the nuclear spins are considered as largely static classical magnetic moments is followed by more advanced quantum mechanical approach where the feedback of electron spin dynamics on the nuclei is taken into account. The chapter concludes with an overview of experimental data and its comparison with model calculations.

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13

Boudreau, Joseph F., and Eric S. Swanson. Quantum spin systems. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0022.

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The quantum mechanical underpinnings of magnetism are explored via the Heisenberg model of antiferromagnetism. The Lanczos algorithm is developed and applied to obtain ground state properties of the anisotropic antiferromagnetic Heisenberg spin chain. In particular, the phase diagram for the system magnetization is determined. A quantum Monte Carlo method that is appropriate for discrete systems is also presented. The method leverages the similarity between the Schrödinger equation and the diffusion equation to compute energy levels. The formalism necessary to compute ground state matrix elements is also developed. Finally, the method is tested with an application to the spin chain.

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14

Glazov, M. M. Interaction of Spins with Light. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198807308.003.0006.

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This chapter presents the details of the optical manipulation of electron spin states. It also addresses manifestations of the electron and nuclear spin dynamics in optical response of semiconductor nanostructures via spin-Faraday and -Kerr effects. Coupling of spins with light provides the most efficient method of nonmagnetic spin manipulation. The main aim of this chapter is to provide the theoretical grounds for optical spin injection, ultrafast spin control, and readout of spin states by means of circularly and linearly polarized light pulses. The Faraday and Kerr effects induced by the electron and nuclear spin polarization are analyzed both by means of a macroscopic, semi-phenomenological approach and by using the microscopic quantum mechanical model. Theoretical analysis is supported by experimental data.

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15

Wu, Wenhao. From classical to quantum glass. 1993.

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16

Wernsdorfer, W. Molecular nanomagnets. Edited by A. V. Narlikar and Y. Y. Fu. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199533060.013.4.

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This article describes the quantum phenomena observed in molecular nanomagnets. Molecular nanomagnets, or single-molecule magnets (SMMs), provides a fundamental link between spintronics and molecular electronics. SMMs combine the classic macroscale properties of a magnet with the quantum properties of a nanoscale entity. The resulting field, molecular spintronics, aims at manipulating spins and charges in electronic devices containing one or more molecules. This article first considers molecular nanomagnets and the giant spin model for nanomagnets before discussing the quantum dynamics of a dimer of nanomagnets, resonant photon absorption in Cr7Ni antiferromagnetic rings, and photon-assisted tunnelling in a single-molecule magnet. It also examines environmental decoherence effects in nanomagnets and concludes by highlighting the new trends towards molecular spintronics using junctions and nano-SQUIDs.

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17

Kachelriess, Michael. Quantum Fields. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.001.0001.

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This book introduces quantum field theory, together with its most important applications to cosmology and astroparticle physics, in a coherent framework. The path-integral approach is employed right from the start, and the use of Green functions and generating functionals is illustrated first in quantum mechanics and then in scalar field theory. Massless spin one and two fields are discussed on an equal footing, and gravity is presented as a gauge theory in close analogy with the Yang–Mills case. Concepts relevant to modern research such as helicity methods, effective theories, decoupling, or the stability of the electroweak vacuum are introduced. Various applications such as topological defects, dark matter, baryogenesis, processes in external gravitational fields, inflation and black holes help students to bridge the gap between undergraduate courses and the research literature.

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18

Dyall, Kenneth G., and Knut Faegri. Introduction to Relativistic Quantum Chemistry. Oxford University Press, 2007. http://dx.doi.org/10.1093/oso/9780195140866.001.0001.

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This book provides an introduction to the essentials of relativistic effects in quantum chemistry, and a reference work that collects all the major developments in this field. It is designed for the graduate student and the computational chemist with a good background in nonrelativistic theory. In addition to explaining the necessary theory in detail, at a level that the non-expert and the student should readily be able to follow, the book discusses the implementation of the theory and practicalities of its use in calculations. After a brief introduction to classical relativity and electromagnetism, the Dirac equation is presented, and its symmetry, atomic solutions, and interpretation are explored. Four-component molecular methods are then developed: self-consistent field theory and the use of basis sets, double-group and time-reversal symmetry, correlation methods, molecular properties, and an overview of relativistic density functional theory. The emphases in this section are on the basics of relativistic theory and how relativistic theory differs from nonrelativistic theory. Approximate methods are treated next, starting with spin separation in the Dirac equation, and proceeding to the Foldy-Wouthuysen, Douglas-Kroll, and related transformations, Breit-Pauli and direct perturbation theory, regular approximations, matrix approximations, and pseudopotential and model potential methods. For each of these approximations, one-electron operators and many-electron methods are developed, spin-free and spin-orbit operators are presented, and the calculation of electric and magnetic properties is discussed. The treatment of spin-orbit effects with correlation rounds off the presentation of approximate methods. The book concludes with a discussion of the qualitative changes in the picture of structure and bonding that arise from the inclusion of relativity.

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19

Mapping of Parent Hamiltonians Springer Tracts in Modern Physics Hardcover. Springer, 2011.

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20

(Editor), Alfonso Hernández-Laguna, J. Maruani (Editor), R. McWeeny (Editor), and S. Wilson (Editor), eds. Quantum Systems in Chemistry and Physics: Volume 1: Basic Problems and Model Systems Volume 2: Advanced Problems and Complex Systems Granada, Spain (1997) ... in Theoretical Chemistry and Physics). Springer, 2001.

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21

(Editor), Alfonso Hernández-Laguna, J. Maruani (Editor), R. McWeeny (Editor), and S. Wilson (Editor), eds. Quantum Systems in Chemistry and Physics: Volume 1: Basic Problems and Model Systems Volume 2: Advanced Problems and Complex Systems Granada, Spain (1997) ... in Theoretical Chemistry and Physics). Springer, 2001.

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22

Kenyon, Ian R. Quantum 20/20. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198808350.001.0001.

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This text reviews fundametals and incorporates key themes of quantum physics. One theme contrasts boson condensation and fermion exclusivity. Bose–Einstein condensation is basic to superconductivity, superfluidity and gaseous BEC. Fermion exclusivity leads to compact stars and to atomic structure, and thence to the band structure of metals and semiconductors with applications in material science, modern optics and electronics. A second theme is that a wavefunction at a point, and in particular its phase is unique (ignoring a global phase change). If there are symmetries, conservation laws follow and quantum states which are eigenfunctions of the conserved quantities. By contrast with no particular symmetry topological effects occur such as the Bohm–Aharonov effect: also stable vortex formation in superfluids, superconductors and BEC, all these having quantized circulation of some sort. The quantum Hall effect and quantum spin Hall effect are ab initio topological. A third theme is entanglement: a feature that distinguishes the quantum world from the classical world. This property led Einstein, Podolsky and Rosen to the view that quantum mechanics is an incomplete physical theory. Bell proposed the way that any underlying local hidden variable theory could be, and was experimentally rejected. Powerful tools in quantum optics, including near-term secure communications, rely on entanglement. It was exploited in the the measurement of CP violation in the decay of beauty mesons. A fourth theme is the limitations on measurement precision set by quantum mechanics. These can be circumvented by quantum non-demolition techniques and by squeezing phase space so that the uncertainty is moved to a variable conjugate to that being measured. The boundaries of precision are explored in the measurement of g-2 for the electron, and in the detection of gravitational waves by LIGO; the latter achievement has opened a new window on the Universe. The fifth and last theme is quantum field theory. This is based on local conservation of charges. It reaches its most impressive form in the quantum gauge theories of the strong, electromagnetic and weak interactions, culminating in the discovery of the Higgs. Where particle physics has particles condensed matter has a galaxy of pseudoparticles that exist only in matter and are always in some sense special to particular states of matter. Emergent phenomena in matter are successfully modelled and analysed using quasiparticles and quantum theory. Lessons learned in that way on spontaneous symmetry breaking in superconductivity were the key to constructing a consistent quantum gauge theory of electroweak processes in particle physics.

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23

(Editor), Alfonso Hernández-Laguna, J. Maruani (Editor), R. McWeeny (Editor), and S. Wilson (Editor), eds. Quantum Systems in Chemistry and Physics: Volume 1: Basic Problems and Model Systems Volume 2: Advanced Problems and Complex Systems Granada, Spain (1997) ... in Theoretical Chemistry and Physics). Springer, 2000.

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24

Nitzan, Abraham. Chemical Dynamics in Condensed Phases. Oxford University Press, 2006. http://dx.doi.org/10.1093/oso/9780198529798.001.0001.

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This text provides a uniform and consistent approach to diversified problems encountered in the study of dynamical processes in condensed phase molecular systems. Given the broad interdisciplinary aspect of this subject, the book focuses on three themes: coverage of needed background material, in-depth introduction of methodologies, and analysis of several key applications. The uniform approach and common language used in all discussions help to develop general understanding and insight on condensed phases chemical dynamics. The applications discussed are among the most fundamental processes that underlie physical, chemical and biological phenomena in complex systems. The first part of the book starts with a general review of basic mathematical and physical methods (Chapter 1) and a few introductory chapters on quantum dynamics (Chapter 2), interaction of radiation and matter (Chapter 3) and basic properties of solids (chapter 4) and liquids (Chapter 5). In the second part the text embarks on a broad coverage of the main methodological approaches. The central role of classical and quantum time correlation functions is emphasized in Chapter 6. The presentation of dynamical phenomena in complex systems as stochastic processes is discussed in Chapters 7 and 8. The basic theory of quantum relaxation phenomena is developed in Chapter 9, and carried on in Chapter 10 which introduces the density operator, its quantum evolution in Liouville space, and the concept of reduced equation of motions. The methodological part concludes with a discussion of linear response theory in Chapter 11, and of the spin-boson model in chapter 12. The third part of the book applies the methodologies introduced earlier to several fundamental processes that underlie much of the dynamical behaviour of condensed phase molecular systems. Vibrational relaxation and vibrational energy transfer (Chapter 13), Barrier crossing and diffusion controlled reactions (Chapter 14), solvation dynamics (Chapter 15), electron transfer in bulk solvents (Chapter 16) and at electrodes/electrolyte and metal/molecule/metal junctions (Chapter 17), and several processes pertaining to molecular spectroscopy in condensed phases (Chapter 18) are the main subjects discussed in this part.

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25

Quantum Effects in the Minimal Supersymmetric Standard Model: Proceedings of the International Workshop, Universitat Autonoma De Barcelona, Catalonia, Spain 9-13 September 1997. World Scientific Publishing Company, 1998.

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26

Tiwari, Sandip. Nanoscale Device Physics. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198759874.001.0001.

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Nanoscale devices are distinguishable from the larger microscale devices in their specific dependence on physical phenomena and effects that are central to their operation. The size change manifests itself through changes in importance of the phenomena and effects that become dominant and the changes in scale of underlying energetics and response. Examples of these include classical effects such as single electron effects, quantum effects such as the states accessible as well as their properties; ensemble effects ranging from consequences of the laws of numbers to changes in properties arising from different magnitudes of the inter-actions, and others. These interactions, with the limits placed on size, make not just electronic, but also magnetic, optical and mechanical behavior interesting, important and useful. Connecting these properties to the behavior of devices is the focus of this textbook. Description of the book series: This collection of four textbooks in the Electroscience series span the undergraduate-to-graduate education in electrosciences for engineering and science students. It culminates in a comprehensive under-standing of nanoscale devices—electronic, magnetic, mechanical and optical in the 4th volume, and builds to it through volumes devoted to underlying semiconductor and solid-state physics with an emphasis on phenomena at surfaces and interfaces, energy interaction, and fluctuations; a volume devoted to the understanding of the variety of devices through classical microelectronic approach, and an engineering-focused understanding of principles of quantum, statistical and information mechanics. The goal is provide, with rigor and comprehensiveness, an exposure to the breadth of knowledge and interconnections therein in this subject area that derives equally from sciences and engineering. By completing this through four integrated texts, it circumvents what is taught ad hoc and incompletely in a larger number of courses, or not taught at all. A four course set makes it possible for the teaching curriculum to be more comprehensive in this and related advancing areas of technology. It ends at a very modern point, where researchers in the subject area would also find the discussion and details an important reference source.

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Books on the topic 'Quantum spin models'

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