Topological Orders with Spins and Fermions: Quantum Phases and Computation, Martнn Laura Ortiz
Автор: Laura Ortiz Mart?n Название: Topological Orders with Spins and Fermions ISBN: 303023648X ISBN-13(EAN): 9783030236489 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This thesis deals with topological orders from two different perspectives: from a condensed matter point of view, where topological orders are considered as breakthrough phases of matter; and from the emerging realm of quantum computation, where topological quantum codes are considered the most appealing platform against decoherence.
The thesis reports remarkable studies from both sides. It thoroughly investigates a topological order called the double semion model, a counterpart of the Kitaev model but exhibiting richer quasiparticles as excitations. A new model for symmetry enriched topological order is constructed, which adds an onsite global symmetry to the double semion model. Using this topological phase, a new example of topological code is developed, the semion code, which is non-CSS, additive, non-Pauli and within the stabiliser formalism.
Furthermore, the thesis analyses the Rashba spin-orbit coupling within topological insulators, turning the helical edge states into generic edges modes with potential application in spinstronics. New types of topological superconductors are proposed and the novel properties of the correspondingly created Majorana fermions are investigated. These Majorana fermions have inherent properties enabling braiding and the performance of logical gates as fundamental blocks for a universsal quantum computator.
Автор: Shashikant Mulay; John J. Quinn; Mark Shattuck Название: Strong Fermion Interactions in Fractional Quantum Hall States ISBN: 3030131181 ISBN-13(EAN): 9783030131180 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This monograph presents an intuitive theory of trial wave functions for strongly interacting fermions in fractional quantum Hall states. The correlation functions for the proposed fermion interactions follow a novel algebraic approach that harnesses the classical theory of invariants and semi-invariants of binary forms. This approach can be viewed as a fitting and far-reaching generalization of Laughlin’s approach to trial wave functions. Aesthetically viewed, it illustrates an attractive symbiosis between the theory of invariants and the theory of correlations. Early research into numerical diagonalization computations for small numbers of electrons shows strong agreement with the constructed trial wave functions.
The monograph offers researchers and students of condensed matter physics an accessible discussion of this interesting area of research.
Автор: Takeji Takui and Lawrence Berliner Название: Electron spin resonance (ESR) based quantum computing. ISBN: 1493936565 ISBN-13(EAN): 9781493936564 Издательство: Springer Рейтинг: Цена: 16979.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book addresses electron spin-qubit based quantum computing and quantum information processing with a strong focus on the background and applications to EPR/ESR technique and spectroscopy. It explores a broad spectrum of topics including quantum computing, information processing, quantum effects in electron-nuclear coupled molecular spin systems, adiabatic quantum computing, heat bath algorithmic cooling with spins, and gateway schemes of quantum control for spin networks to NMR quantum information. The organization of the book places emphasis on relevant molecular qubit spectroscopy. These revolutionary concepts have never before been included in a comprehensive volume that covers theory, physical basis, technological basis, applications, and new advances in this emerging field. Electron Spin Resonance (ESR) Based Quantum Computing, co-edited by leading and renowned researchers Takeji Takui, Graeme Hanson and Lawrence J Berliner, is an ideal resource for students and researchers in the fields of EPR/ESR, NMR and quantum computing.
This book also
• Explores methods of harnessing quantum effects in electron-nuclear coupled molecular spin systems
• Expertly discusses applications of optimal control theory in quantum computing
• Broadens the readers’ understanding of NMR quantum information processing
Автор: Tadao Kasuya; Tetsuro Saso Название: Theory of Heavy Fermions and Valence Fluctuations ISBN: 3642826202 ISBN-13(EAN): 9783642826207 Издательство: Springer Рейтинг: Цена: 16979.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume contains the proceedings of the Eighth Taniguchi Interna- tional Symposium on the Theory of Condensed Matter, which was held at Shima Kanko Hotel in Shima, Japan, 10-13 April 1985. The topic of the Symposium was Valence Fluctuation and Heavy Fermion Systems, one of the most fundamental problems in present-day condensed matter physics. The dilute Kondo problem, which is one of the most typical and unique many-body problems in condensed matter physics, developed recently into the dense Kondo and the coherent Kondo lattice problems in the 4f elec- tron systems. It is accepted now that a large degeneracy in f-electron systems makes this latter situation possible by enhancing the single-site Kondo state relative to the inter-site magnetic interactions. Now, anoma- lous behavior in f-electron systems show rich variety and are called valence fluctuation phenomena as a whole. They have, however, a common fea- ture. In the lowest temperature region, they show either heavy Fermion- like character or a narrow gap formation at the Fermi energy. Discovery of superconductivity in the heavy Fermion systems is attracting more in- terest. Anyway, the valence fluctuating states are thought to be of fun- damental importance to bridge the gap between the localized magnetic states and the delocalized nownagnetic states.
Описание: Impurities, disorder or amorphous systems - ill-condensed matter - are mostly considered inconveniences in the study of materials, which is otherwise heavily based on idealized perfect crystals.
Описание: Reports the progress in topological approach to Hall system physics, including achievements in graphene. In this title, the crucial significance of carrier mobility apart from interaction in creation of the fractional quantum Hall effect (FQHE) is described and supported by various graphene experiments.
Автор: Shashikant Mulay; John J. Quinn; Mark Shattuck Название: Strong Fermion Interactions in Fractional Quantum Hall States ISBN: 3030004937 ISBN-13(EAN): 9783030004934 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This monograph presents an intuitive theory of trial wave functions for strongly interacting fermions in fractional quantum Hall states. The correlation functions for the proposed fermion interactions follow a novel algebraic approach that harnesses the classical theory of invariants and semi-invariants of binary forms. This approach can be viewed as a fitting and far-reaching generalization of Laughlin’s approach to trial wave functions. Aesthetically viewed, it illustrates an attractive symbiosis between the theory of invariants and the theory of correlations. Early research into numerical diagonalization computations for small numbers of electrons shows strong agreement with the constructed trial wave functions.
The monograph offers researchers and students of condensed matter physics an accessible discussion of this interesting area of research.
Описание: This work describes theoretical and experimental advances towards the realization of a hybrid quantum processor in which the collective degrees of freedom of an ensemble of spins in a crystal are used as a multi-qubit register for superconducting qubits.
Название: Spin Chemical Physics Of Graphene ISBN: 9814774111 ISBN-13(EAN): 9789814774116 Издательство: Taylor&Francis Рейтинг: Цена: 14546.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Graphene's nickname 'miracle material' normally means the material superior properties. However, all these characteristics are only the outward manifestation of the wonderful nature of graphene. The real miracle of graphene is that the specie is a union of two entities: a physical - and a chemical one, each of which is unique in its own way.
The book concerns a very close interrelationship between graphene physics and chemistry as expressed via typical spin effects of a chemical physics origin. Based on quantum-chemical computations, the book is nevertheless addressed to the reflection of physical reality and it is aimed at an understanding of what constitutes graphene as an object of material science - sci graphene - on the one hand, and as a working material- high tech graphene - for a variety of attractive applications largely discussed and debated in the press, on the other.
The book is written by a user of quantum chemistry, sufficiently experienced in material science, and the chemical physics of graphene is presented as the user view based on results of extended computational experiments in tight connection with their relevance to physical and chemical realities. The experiments have been carried out at the same theoretical platform, which allows considering different sides of the graphene life at the same level in light of its chemical peculiarity.
Описание: Foundations of the relativistic quantum mechanics and field theory of arbitrary spin are presented. New relativistic wave equations without redundant components for the particle-antiparticle doublets of arbitrary spin are considered. The comparison with known arbitrary spin equations of Bhabha, Bargman-Wigner and with Pauli-Fierz, Rarita-Schwinger equations (for the spin s=3/2) demonstrates the advantages of the presented approach. The special procedure of synthesis of higher spin relativistic wave equations is suggested. New equations are considered on three levels of (i) relativistic canonical quantum mechanics, (ii) canonical Foldy-Wouthuysen type field theory, and (iii) manifestly covariant field theory. The derivation of field equations based on the start from the relativistic canonical quantum mechanics is given. The corresponding transition operator, which is the extended Foldy-Wouthuysen transformation, is suggested and described. This model of relativistic quantum mechanics is described here on the level of von Neumanns consideration of non-relativistic case. The Lagrange approach for the spinor field in the Foldy-Wouthuysen representation is analyzed. The proof of the Fermi-Bose duality property of a few main equations of field theory, which before were known to have only single Fermi (or single Bose) property, is given. Hidden Bose properties (symmetry, solutions, and conservation laws) of the Dirac equation are proved. Both cases of non-zero and zero mass are considered. New useful mathematical objects, which are the pure matrix representations of the 64-dimensional Clifford and 28-dimensional SO(8) algebras over the field of real numbers, are put into consideration. The application of such algebras to the Dirac and Dirac-like equations properties analysis is demonstrated. Fermi and Bose SO(4) symmetries of the relativistic hydrogen atom are found. New symmetries and solutions of the Maxwell equations are considered. The Maxwell equations in the form, having maximal symmetry, are suggested and described. The application of such field-strength equations to the atomic microworld phenomena is demonstrated. On the basis of such Maxwell system the relativistic hydrogen atom spectrum and quantum properties of this atom are described. The Sommerfeld-Dirac fine structure formula, Plank constant and the Bohr postulates are derived in the frameworks of classical electrodynamics. The limits and boarders of classical physics applications in inneratomic microworld are discussed. In order to determine the place of our approach among other investigations the 26 variants of the Dirac equation derivation are considered.
Автор: Knolle Johannes Название: Dynamics of a Quantum Spin Liquid ISBN: 3319795627 ISBN-13(EAN): 9783319795621 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This thesis presents an exact theoretical study of dynamical correlation functions in different phases of a two-dimensional quantum spin liquid.
A textbook on the fundamentals of quantum mechanics, emphasizing the effects from electron angular momentum including spin. Sufficient historical context is provided to better explain the origins of several well-known concepts in quantum mechanics. For the serious student and researcher, full derivations of results are included, as well as a first time derivation and application of spin-dependent energy dissipation introduced and applied in several important technological areas including spin transfer torque, spin diffusion, and micromagnetics. For superconductors, a novel and thorough treatment is provided under the premise that the potential function originally introduced by Cooper is also spin dependent as evidenced more clearly today by experimental data. This enables more precise properties of the potential to be exploited, its connection to holes, and it is shown to lead directly to discontinuities in both heat capacity and electrical conductivity at critical temperature. Relativistic quantum mechanics is also fully derived from application of the special theory of relativity along with several consequences. For superconductors, the text introduces a relevant higher order correction from the Dirac equation to the theory of superconductors to demonstrate its impact. These topics and their unique presentations are found exclusively in this text on quantum mechanics.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
