Author: Junji SuzukiPublisher:
ISBN:
Category :
Languages : en
Pages : 30
Book Description
A New Approach to Quantum Spin Chains at Finite Temperature
Author: Junji SuzukiFinite - Temperature Dynamics of Quantum Spin Chains
Author: Jacek HerbrychThe One-Dimensional Hubbard Model
Author: Fabian H. L. EsslerPublisher: Cambridge University Press
ISBN: 1139441582
Category : Science
Languages : en
Pages : 692
Book Description
This book presents an account of the exact solution of the Hubbard model in one dimension. The early chapters develop a self-contained introduction to Bethe's ansatz and its application to the one-dimensional Hubbard model. The later chapters address more advanced topics.
Physical Combinatorics
Author: Masaki KashiwaraPublisher: Springer Science & Business Media
ISBN: 9780817641757
Category : Mathematics
Languages : en
Pages : 336
Book Description
This work is concerned with combinatorial aspects arising in the theory of exactly solvable models and representation theory. Developments in integrable models reveal an unexpected link between representation theory and statistical mechanics through combinatorics. For example, Young tableaux, which describe the basis of irreducible representations, appear in the Bethe Ansatz method in quantum spin chains as labels for the eigenstates of Hamiltonians. this text presents results and ideas from three viewpoints: representation theory; integrable models; and combinatorics.
Nonlinear Waves: Classical and Quantum Aspects
Author: Fatkhulla AbdullaevPublisher: Springer Science & Business Media
ISBN: 1402021909
Category : Science
Languages : en
Pages : 563
Book Description
Leading scientists discuss the most recent physical and experimental results in the physics of Bose-Einstein condensate theory, the theory of nonlinear lattices (including quantum and nonlinear lattices), and nonlinear optics and photonics. Classical and quantum aspects of the dynamics of nonlinear waves are considered. The contributions focus on the Gross-Pitaevskii equation and on the quantum nonlinear Schrödinger equation. Recent experimental results on atomic condensates and hydrogen bonded systems are reviewed. Particular attention is given to nonlinear matter waves in periodic potential.
Journal of the Physical Society of Japan
Author: Nihon Butsuri GakkaiPublisher:
ISBN:
Category : Physics
Languages : en
Pages : 134
Book Description
Bethe Ansatz Approach to Quantum Sine Gordon Thermodynamics and Finite Temperature Excitations
Author: Xenophon ZotosPublisher:
ISBN:
Category : Thermodynamics
Languages : en
Pages : 128
Book Description
Rigorous Approach to Quantum Integrable Models at Finite Temperature
Author: Salvish GoomaneePublisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
This thesis develops a rigorous framework allowing one to prove the exact representations for various observables in the XXZ Heisenberg spin-1/2 chain at finite temperature. Previously it has been argued in the literature that the per-site free energy or the correlation lengths admit integral representations whose integrands are expressed in terms of solutions of non-linear integral equations. The derivations of such representations relied on various conjectures such as the existence of a real, non-degenerate, maximal in modulus Eigenvalue of the quantum transfer matrix, the exchangeability of the infinite volume limit and the Trotter number limits, the existence and uniqueness of the solutions to the auxiliary non-linear integral equations and finally the identification of the quantum transfer matrix's Eigenvalues with solutions to the non-linear integral equation. We rigorously prove all these conjectures in the high temperature regime. Our analysis also allows us to prove that for temperatures high enough, one may describe a certain subset of sub-dominant Eigenvalues of the quantum transfer matrix described in terms of solutions to a spin-1 chain of finite length.
Off-Diagonal Bethe Ansatz for Exactly Solvable Models
Author: Yupeng WangPublisher: Springer
ISBN: 3662467569
Category : Science
Languages : en
Pages : 303
Book Description
This book serves as an introduction of the off-diagonal Bethe Ansatz method, an analytic theory for the eigenvalue problem of quantum integrable models. It also presents some fundamental knowledge about quantum integrability and the algebraic Bethe Ansatz method. Based on the intrinsic properties of R-matrix and K-matrices, the book introduces a systematic method to construct operator identities of transfer matrix. These identities allow one to establish the inhomogeneous T-Q relation formalism to obtain Bethe Ansatz equations and to retrieve corresponding eigenstates. Several longstanding models can thus be solved via this method since the lack of obvious reference states is made up. Both the exact results and the off-diagonal Bethe Ansatz method itself may have important applications in the fields of quantum field theory, low-dimensional condensed matter physics, statistical physics and cold atom systems.
Journal of Physics A
Author: Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 600
Book Description
Focuses on fundamental mathematical and computational methods underpinning physics. Relevant to statistical physics, chaotic and complex systems, classical and quantum mechanics, classical and quantum integrable systems and classical and quantum field theory.