Hidden Grassmann structure in the XXZ model III: introducing the Matsubara direction
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In this article, the expected values of a fermionic basis of quasi-local operators, in the infinite volume limit while keeping the Matsubara (or Trotter) direction finite, were derived.Citations
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Quench dynamics and relaxation in isolated integrable quantum spin chains
TL;DR: In this paper, the dynamics after quantum quenches in integrable quantum spin chains are reviewed, and a pedagogical introduction to relaxation in isolated quantum systems is given, and the description of the steady state by Gibbs ensembles is discussed.
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Darboux coordinates, Yang-Yang functional, and gauge theory
Nikita Nekrasov,Nikita Nekrasov,Nikita Nekrasov,A. A. Rosly,Samson L. Shatashvili,Samson L. Shatashvili +5 more
TL;DR: In this paper, the moduli space of SL 2 flat connections on a punctured Riemann surface with the fixed conjugacy classes of the monodromies around the punctures is endowed with a system of holomorphic Darboux coordinates, in which the generating function of the variety of SL2 -opers is identified with the universal part of the effective twisted superpotential of the Gaiotto type four dimensional N = 2 supersymmetric theory subject to the two-dimensional Ω-deformation.
Journal ArticleDOI
Quench dynamics and relaxation in isolated integrable quantum spin chains
TL;DR: In this article, the dynamics after quantum quenches in integrable quantum spin chains are reviewed, and a pedagogical introduction to relaxation in isolated quantum systems is given, and the description of the steady state by Gibbs ensembles is discussed.
Journal ArticleDOI
What is an integrable quench
TL;DR: In this article, the integrable initial states for quantum quenches in lattice models are defined as the states which are annihilated by all local conserved charges that are odd under space reflection.
Journal ArticleDOI
Stationary behaviour of observables after a quantum quench in the spin-1/2 heisenberg xxz chain
TL;DR: In this article, a quantum quench in the spin-1/2 Heisenberg XXZ chain is considered and the expectation values of local operators approach time-independent values described by a generalized Gibbs ensemble.
References
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Quantum inverse problem method. I
Journal ArticleDOI
Correlation functions of the XXZ Heisenberg spin- chain in a magnetic field
TL;DR: Using the algebraic Bethe ansatz method and the solution of the quantum inverse scattering problem for local spins, this article obtained multiple integral representations of the n-point correlation functions of the XXZ Heisenberg spin-1 2 chain in a constant magnetic field.
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Integrable Structure of Conformal Field Theory III. The Yang–Baxter Relation
TL;DR: In this paper, it was shown that the L operators of Conformal Field Theory satisfy the defining relations of the Yang-Baxter algebra, and a derivation of the functional relations satisfied by T and Q operators was given.
Journal ArticleDOI
Correlation functions of the XXZ Heisenberg spin-1/2 chain in a magnetic field
TL;DR: Using the algebraic Bethe ansatz method and the solution of the quantum inverse scattering problem for local spins, this article obtained multiple integral representations of the $n$-point correlation functions of the XXZ Heisenberg spin-$1 \over 2$ chain in a constant magnetic field.
Posted Content
Quantum Inverse Scattering Method. Selected Topics
TL;DR: In this paper, a detailed exposition of the Functional Bethe Ansatz (FBA) and its rela- tion to the separation of variable method is discussed. And a possibility to extend FBA to the SL(3 is discussed as well.