Open AccessBook
Thermodynamics of One-Dimensional Solvable Models
TLDR
In this paper, the authors present a generalization of the Hubbard model to the XYZ model with a repulsive delta-function potential and the spin 1/2 XXZ model in a magnetic field.Abstract:
Part I. Thermodynamics of Non-Interacting Systems and Ground States on Interacting Systems: 1. Free energy and correlation functions of XY models 2. Systems with delta-function potential 3. Isotropic Heisenberg model 4. XXZ model 5. XYZ and eight-vertex models 6. Hubbard model Part II. Finite Temperature Integral Equations for Un-Nested Systems: 7. Repulsive delta-function bosons 8. Thermodynamics of the XXX chain 9. Thermodynamics of the XXZ model 10. Thermodynamics of the XYZ model 11. Low-temperature thermodynamics Part III. Finite Temperature Integral Equations for Nested Systems: 12. S=1/2 fermions with repulsive potential in the continuum 13. S=1/2 fermions with an attractive potential 14. Thermodynamics of the Hubbard model Part IV. Quantum Transfer Matrix and Recent Developments: 15. Transfer matrix and correlation length 16. The spin 1/2 XXZ model in a magnetic field 17. The XYZ model with no magnetic field 18. Recent developments and related topics.read more
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Entanglement in many-body systems
TL;DR: In this article, the properties of entanglement in many-body systems are reviewed and both bipartite and multipartite entanglements are considered, and the zero and finite temperature properties of entangled states in interacting spin, fermion and boson model systems are discussed.
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Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents.
TL;DR: A kinetic theory of elementary excitations is proposed and an exact expression for the expectation values of the charge currents in a generic stationary state is unveiled for the nonequilibrium time evolution of piecewise homogeneous states in the XXZ spin-1/2 chain.
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Exact Spectrum of Anomalous Dimensions of Planar N=4 Supersymmetric Yang-Mills Theory: TBA and excited states
TL;DR: An infinite set of integral non-linear equations for the spectrum of states/operators in AdS/CFT are derived and it is proved that all the kernels and free terms entering these TBA equations are real and have nice fusion properties in the relevant mirror kinematics.
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Time evolution of local observables after quenching to an integrable model.
TL;DR: This work argues that the behavior of local observables at late times after the quench is given by their expectation values with respect to a single representative Hamiltonian eigenstate, and presents a method for constructing this representative state by means of a generalized thermodynamic Bethe ansatz.
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Exact Spectrum of Anomalous Dimensions of Planar N = 4 Supersymmetric Yang-Mills Theory
TL;DR: In this paper, a set of functional equations defining the anomalous dimensions of arbitrary local single trace operators in planar supersymmetric Yang-Mills theory is presented in the form of a $Y$ system based on the integrability of the dual superstring model.