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Time and temperature dependent correlation functions of the 1D impenetrable electron gas
F. Göhmann, A. G. Izergin, V. E. Korepin +1
We consider the one-dimensional delta-interacting electron gas in the case of infinite repulsion. We use determinant representations to study the long time, large distance asymptot…
Correlation Function of the Spin-1/2 XXX Antiferromagnet
Vladimir E. Korepin, Anatoli G. Izergin, Fabian H. L. Essler +1
We consider a special correlation function in the isotropic spin-$\half$ Heisenberg antiferromagnet. It is the probability of finding a ferromagnetic string of (adjacent) spins in…
Quantum Inverse Scattering Method and Correlation Functions
V. E. Korepin, A. G. Izergin, N. M. Bogoliubov
The book contain detailed explanation of Bethe Ansatz, Quantum Inverse Scattering Method and Algebraic Bether Ansatz as well. Main Models are Nonlinear Schrodinger equation (one di…
Determinant Representation for time and temperature dependent correlation functions in the isotropic XY model in the transverse magnetic field
F. Colomo, A. Izergin, V. Korepin +1
Astymptotics of temperature correlations is the most dificult problem of stat. mech. Recently it was solved for the impenetrable Bose Gas. The idea is to represent correlation func…
Fredholm Determinant Representation for Correlation Functions in XXO Heisenberg Chain
F. Colomo, A. G. Izergin, V. Korepin
Space and time dependent temepreture correlation fucntions in the Hiesenberg XXO chain are evaluated in the magnetic field. The other name of the model is isotropic xy model in the…