Finite - Temperature Dynamics of Quantum Spin Chains PDF Download

Author: Jacek Herbrych
Publisher:
ISBN:
Category :
Languages : en
Pages : 145

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Author: Junji Suzuki
Publisher:
ISBN:
Category :
Languages : en
Pages : 30

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Author: Nick P Proukakis
Publisher: World Scientific
ISBN: 1908979704
Category : Science
Languages : en
Pages : 579

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The 1995 observation of Bose-Einstein condensation in dilute atomic vapours spawned the field of ultracold, degenerate quantum gases. Unprecedented developments in experimental design and precision control have led to quantum gases becoming the preferred playground for designer quantum many-body systems.This self-contained volume provides a broad overview of the principal theoretical techniques applied to non-equilibrium and finite temperature quantum gases. Covering Bose-Einstein condensates, degenerate Fermi gases, and the more recently realised exciton-polariton condensates, it fills a gap by linking between different methods with origins in condensed matter physics, quantum field theory, quantum optics, atomic physics, and statistical mechanics. Thematically organised chapters on different methodologies, contributed by key researchers using a unified notation, provide the first integrated view of the relative merits of individual approaches, aided by pertinent introductory chapters and the guidance of editorial notes.Both graduate students and established researchers wishing to understand the state of the art will greatly benefit from this comprehensive and up-to-date review of non-equilibrium and finite temperature techniques in the exciting and expanding field of quantum gases and liquids./a

Author: Alexander Clemens Tiegel
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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This thesis is concerned with the numerical study of one-dimensional (1D) spin-1/2 quantum magnets and related method development. Its focus is on the calculation of dynamical spin correlation functions both at zero and finite temperature. This is motivated by the accessibility of dynamical quantities in experiments such as inelastic neutron scattering (INS) and electron spin resonance (ESR). The numerical methods used in this thesis are based on extensions of the density-matrix renormalization group (DMRG) and are formulated in the framework of matrix product states (MPS). While zero-tempe...

Author: Pierre Bouillot
Publisher: Springer Science & Business Media
ISBN: 3642338089
Category : Computers
Languages : en
Pages : 104

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This thesis shows how a combination of analytic and numerical techniques, such as a time dependent and finite temperature Density Matrix Renormalization Group (DMRG) technique, can be used to obtain the physical properties of low dimensional quantum magnets with an unprecedented level of accuracy. A comparison between the theory and experiment then enables these systems to be used as quantum simulators; for example, to test various generic properties of low dimensional systems such as Luttinger liquid physics, the paradigm of one dimensional interacting quantum systems. Application of these techniques to a material made of weakly coupled ladders (BPCB) allowed the first quantitative test of Luttinger liquids. In addition, other physical quantities (magnetization, specific heat etc.), and more remarkably the spins-spin correlations – directly measurable in neutron scattering experiments – were in excellent agreement with the observed quantities. We thus now have tools to quantitatiively assess the dynamics for this class of quantum systems.

Author: Abolfazl Bayat
Publisher: Springer Nature
ISBN: 303103998X
Category : Science
Languages : en
Pages : 549

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This book covers recent developments in the understanding, quantification, and exploitation of entanglement in spin chain models from both condensed matter and quantum information perspectives. Spin chain models are at the foundation of condensed matter physics and quantum information technologies and elucidate many fundamental phenomena such as information scrambling, quantum phase transitions, and many-body localization. Moreover, many quantum materials and emerging quantum devices are well described by spin chains. Comprising accessible, self-contained chapters written by leading researchers, this book is essential reading for graduate students and researchers in quantum materials and quantum information. The coverage is comprehensive, from the fundamental entanglement aspects of quantum criticality, non-equilibrium dynamics, classical and quantum simulation of spin chains through to their experimental realizations, and beyond into machine learning applications.

Author: Shu Tanaka
Publisher: Cambridge University Press
ISBN: 110830253X
Category : Science
Languages : en
Pages : 424

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Quantum annealing is a new-generation tool of information technology, which helps in solving combinatorial optimization problems with high precision, based on the concepts of quantum statistical physics. Detailed discussion on quantum spin glasses and its application in solving combinatorial optimization problems is required for better understanding of quantum annealing concepts. Fulfilling this requirement, the book highlights recent development in quantum spin glasses including Nishimori line, replica method and quantum annealing methods along with the essential principles. Separate chapters on simulated annealing, quantum dynamics and classical spin models are provided for enhanced learning. Important topics including adiabatic quantum computers and quenching dynamics are discussed in detail. This text will be useful for students of quantum computation, quantum information, statistical physics and computer science.

Author: Ludwig Faddeev
Publisher: Springer Science & Business Media
ISBN: 3540699694
Category : Science
Languages : en
Pages : 602

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The main characteristic of this classic exposition of the inverse scattering method and its applications to soliton theory is its consistent Hamiltonian approach to the theory. The nonlinear Schrödinger equation is considered as a main example, forming the first part of the book. The second part examines such fundamental models as the sine-Gordon equation and the Heisenberg equation, the classification of integrable models and methods for constructing their solutions.

Author: Amit Dutta
Publisher: Cambridge University Press
ISBN: 1316395413
Category : Science
Languages : en
Pages : 358

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The transverse field Ising and XY models (the simplest quantum spin models) provide the organising principle for the rich variety of interconnected subjects which are covered in this book. From a generic introduction to in-depth discussions of the subtleties of the transverse field Ising and related models, it includes the essentials of quantum dynamics and quantum information. A wide range of relevant topics has also been provided: quantum phase transitions, various measures of quantum information, the effects of disorder and frustration, quenching dynamics and the Kibble–Zurek scaling relation, the Kitaev model, topological phases of quantum systems, and bosonisation. In addition, it also discusses the experimental studies of transverse field models (including the first experimental realisation of quantum annealing) and the recent realisation of the transverse field Ising model using tunable Josephson junctions. Further, it points to the obstacles still remaining to develop a successful quantum computer.

Author: Rogier Pieter Vlijm
Publisher:
ISBN: 9789402802900
Category :
Languages : en
Pages : 207

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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.