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- V E Korepin
- Physical review letters
- 2004

We consider critical models in one dimension. We study the ground state in the thermodynamic limit (infinite lattice). We are interested in an entropy of a subsystem. We calculate the entropy of a part of the ground state from a space interval (0,x). At zero temperature it describes the entanglement of the part of the ground state from this interval with… (More)

- B.-Q Jin, V E Korepin
- 2008

We consider one-dimensional quantum spin chain, which is called XX model (XX0 model or isotropic XY model) in a transverse magnetic field. We study the model on the infinite lattice at zero temperature. We are interested in the entropy of a subsystem [a block of L neighboring spins] it describes entanglement of the block with the rest of the ground state.… (More)

- V. E. Korepin, C. N. Yang
- 1999

We derive a formula that expresses the local spin and field operators of fundamental graded models in terms of the elements of the monodromy matrix. This formula is a quantum analogue of the classical inverse scattering transform. It applies to fundamental spin chains, such as the XYZ chain, and to a number of important exactly solvable models of strongly… (More)

- T Kojima, V E Korepin, +4 authors M Sato
- 1996

Painlevé analysis of correlation functions of the impenetrable Bose gas by M. Jimbo, T. Miwa, Y. Mori and M. Sato [1] was based on the determinant representation of these correlation functions obtained by A. Lenard [2]. The impenetrable Bose gas is the free fermionic case of the quantum nonlinear Schrödinger equation. In this paper we generalize the Lenard… (More)

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 asymptotics of correlation functions of local fields in the gas phase. We derive differential equations which drive the correlation functions. Using a related Riemann-Hilbert problem we… (More)

- V. E. Korepin
- 1998

We consider non-relativistic electrons in one dimension with infinitely strong repulsive delta function interaction. We calculate the long-time, large-distance asymptotics of field-field correlators in the gas phase. The gas phase at low temperatures is characterized by the ideal gas law. We calculate the exponential decay, the power law corrections and the… (More)

We continue the study of the u(2j2)-supersymmetric extension of the Hubbard model in one dimension. We determine the excitation spectrum at zero temperature even in the sectors where the ground states are u(2j2)-descendants of Bethe states. The ex-citations include spinons, holons, electrons, localons (local electrons pairs, moving coherently through the… (More)

- V. E. Korepin, S. Lukyanov
- 2008

We study the Emptiness Formation Probability (EFP) for the spin 1/2 XXZ spin chain. EFP P (n) detects a formation of ferromagnetic string of the length n in the ground state. It is expected that EFP decays in a Gaussian way for large strings P (n) ∼ n−γC−n2. Here, we propose the explicit expressions for the rate of Gaussian decay C as well as for the… (More)

We consider a model of strongly correlated electrons that exhibits superconduc-tivity. It diiers from the Hubbard model by nearest neighbour interactions. We nd the ground state wave function (in one, two or three dimensions) and show it to be superconducting for attractive and moderately repulsive on-site interaction. 1 The phenomenon of high-T c… (More)

We argue that the square of the norm of the Hubbard wave function is proportional to the determinant of a matrix, which is obtained by linearization of the Lieb-Wu equations around a solution. This means that in the vicinity of a solution the Lieb-Wu equations are non-degenerate, if the corresponding wave function is non-zero. We further derive an action… (More)