# Quantum Inverse Scattering Method and Correlation Functions

@inproceedings{Korepin1993QuantumIS, title={Quantum Inverse Scattering Method and Correlation Functions}, author={Vladimir E. Korepin and A.G.Izergin and N.M.Bogoliubov}, year={1993} }

One-dimensional Bose-gas One-dimensional Heisenberg magnet Massive Thirring model Classical r-matrix Fundamentals of inverse scattering method Algebraic Bethe ansatz Quantum field theory integral models on a lattice Theory of scalar products Form factors Mean value of operator Q Assymptotics of correlation functions Temperature correlation functions Appendices References.

## 1,636 Citations

Connection between Yangian symmetry and the quantum inverse scattering method

- Physics
- 1996

The quantum nonlinear Schrodinger model with two-component fermions exhibits a Yangian symmetry when considered on an infinite interval. We construct the generators of the Yangian using Dunkl…

Integral equations for correlation functions of a quantum one-dimensional Bose gas

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- 1999

The large-time, long-distance behavior of the temperature correlation functions of a quantum one-dimensional Bose gas is considered. We obtain integral equations, which are closely related to the…

Temperature correlators in the two-component one-dimensional gas

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- 1998

Abstract The quantum non-relativistic two-component Bose and Fermi gases with infinitely strong point-like coupling between particles in one space dimension are considered. Time- and…

Correlators in the one-dimensional two-component Bose and Fermi gases

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- 1997

Abstract Quantum nonrelativistic two-component Bose and Fermi gases with an infinitely strong δ -function interaction between particles are considered. The two-point correlation functions depending…

Yangian Symmetry of the δ-Function Fermi Gas

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- 1996

The quantum nonlinear Schrodinger model with two-component fermions exhibits a Yangian symmetry when considered on an infinite interval. We construct the generators of the Yangian using one…

Out of equilibrium correlation functions of quantum anisotropic XY models: one-particle excitations

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- 2003

We calculate exactly matrix elements between states that are not eigenstates of the quantum XY model for general anisotropy. Such quantities therefore describe non equilibrium properties of the…

Dynamical correlation functions of the XXZ model at finite temperature

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- 2007

Combining a lattice path integral formulation for thermodynamics with the solution of the quantum inverse scattering problem for local spin operators, we derive a multiple integral representation for…

One dimensional gas of bosons with integrable resonant interactions

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We develop an exact solution to the problem of one dimensional chiral bosons interacting via an s-wave Feshbach resonance. This problem is integrable, being the quantum analog of a classical two-wave…

Solution of quantum integrable systems from quiver gauge theories

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A bstractWe construct new integrable systems describing particles with internal spin from four-dimensional N$$ \mathcal{N} $$ = 2 quiver gauge theories. The models can be quantized and solved exactly…

Ground state correlations of the quantum Toda lattice

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Abstract Based on the Bethe ansatz equation and the finite-size scaling analysis of conformal field theory, we calculate critical exponents of the ground state correlations of the quantum Toda…

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