Asymptotic analysis and quantum integrable models

Abstract

This habilitation thesis reviews the progress made by the author respectively to studying various asymptotic regimes of correlation functions in quantum integrable models.

arXiv comment231 pages

References in corpus (20)

• All genus correlation functions for the hermitian 1-matrix model
• Computation of dynamical correlation functions of Heisenberg chains in a field
• On the quantum inverse scattering problem
• Dynamical density-density correlations in the one-dimensional Bose gas
• Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
• Differential Equations for Sine-Gordon Correlation Functions at the Free Fermion Point
• Emptiness Formation Probability and Quantum Knizhnik-Zamolodchikov Equation
• On the spectrum of the Sinh-Gordon model in finite volume
• On one-point functions for sinh-Gordon model at finite temperature
• Dynamic structure factor of the Calogero-Sutherland model
• A Note on Large Deviations for 2D Coulomb Gas with Weakly Confining Potential
• Correlation functions of the higher spin XXX chains
• Detecting correlation functions of ultracold atoms through Fourier sampling of time-of-flight images
• On sinh-Gordon Thermodynamic Bethe Ansatz and fermionic basis
• The diagonal Ising susceptibility
• Form factor expansion of the row and diagonal correlation functions of the two dimensional Ising model
• Quantum Projectors and Local Operators in Lattice Integrable Models
• Correlation functions of the integrable higher-spin XXX and XXZ spin chains through the fusion method
• Quantum-classical crossover in the spin 1/2 XXZ chain
• Szego limit theorems

Cited by in corpus (7)

• New Compact Construction of Eigenstates for Supersymmetric Spin Chains
• An integrable spin chain with Hilbert space fragmentation and solvable real time dynamics
• Current mean values in the XYZ model
• Long time thermal asymptotics of nonlinear Luttinger liquid from inverse scattering
• On correlation functions in models related to the Temperley-Lieb algebra
• Fractal decompositions and tensor network representations of Bethe wavefunctions
• Master equation for correlation functions in algebra symmetry $\mathfrak{gl}(2|1)$ related models