Publications (40)
Spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field
N. Kitanine, J. M. Maillet, N. A. Slavnov +1
Using algebraic Bethe ansatz and the solution of the quantum inverse scattering problem, we compute compact representations of the spin-spin correlation functions of the XXZ-1/2 He…
Long-time and large-distance asymptotic behavior of the current-current correlators in the non-linear Schrödinger model
K. K. Kozlowski, V. Terras
We present a new method allowing us to derive the long-time and large-distance asymptotic behavior of the correlations functions of quantum integrable models from their exact repre…
Emptiness formation probability of the XXZ spin-1/2 Heisenberg chain at Delta=1/2
N. Kitanine, J. M. Maillet, N. A. Slavnov +1
Using a multiple integral representation for the correlation functions, we compute the emptiness formation probability of the XXZ spin-1/2 Heisenberg chain at anisotropy Delta=1/2.…
The open XXX spin chain in the SoV framework: scalar product of separate states
N. Kitanine, J. M. Maillet, G. Niccoli +1
We consider the XXX open spin-1/2 chain with the most general non-diagonal boundary terms, that we solve by means of the quantum separation of variables (SoV) approach. We compute…
Form factor approach to the asymptotic behavior of correlation functions in critical models
N. Kitanine, K. K. Kozlowski, J. M. Maillet +2
We propose a form factor approach for the computation of the large distance asymptotic behavior of correlation functions in quantum critical (integrable) models. In the large dista…
Correlation functions for open XXZ spin 1/2 quantum chains with unparallel boundary magnetic fields
G. Niccoli, V. Terras
In this paper we continue our derivation of the correlation functions of open quantum spin 1/2 chains with unparallel magnetic fields on the edges; this time for the more involved…
Spontaneous magnetization of the XXZ Heisenberg spin-1/2 chain
A. G. Izergin, N. Kitanine, J. M. Maillet +1
Determinant representations of form factors are used to represent the spontaneous magnetization of the Heisenberg XXZ chain (Delta >1) on the finite lattice as the ratio of two det…
Spontaneous staggered polarizations of the cyclic solid-on-solid model from algebraic Bethe Ansatz
D. Levy-Bencheton, V. Terras
We compute the spontaneous staggered polarization of the cyclic SOS model at the thermodynamic limit. We use the determinant representation for finite-size form factors obtained fr…
Correlation functions of the XXZ Heisenberg spin-1/2 chain in a magnetic field
N. Kitanine, J. M. Maillet, V. Terras
Using the algebraic Bethe ansatz method, and the solution of the quantum inverse scattering problem for local spins, we obtain multiple integral representations of the -point co…
On determinant representations of scalar products and form factors in the SoV approach: the XXX case
N. Kitanine, J. M. Maillet, G. Niccoli +1
In the present article we study the form factors of quantum integrable lattice models solvable by the separation of variables (SoV) method. It was recently shown that these models…
Correlation functions of the open XXZ chain II
N. Kitanine, K. Kozlowski, J. M. Maillet +3
We derive compact multiple integral formulas for several physical spin correlation functions in the semi-infinite XXZ chain with a longitudinal boundary magnetic field. Our formula…
On the quantum inverse scattering problem
J. M. Maillet, V. Terras
A general method for solving the so-called quantum inverse scattering problem (namely the reconstruction of local quantum (field) operators in term of the quantum monodromy matrix…
Correlation functions by Separation of Variables: the XXX spin chain
G. Niccoli, H. Pei, V. Terras
We explain how to compute correlation functions at zero temperature within the framework of the quantum version of the Separation of Variables (SoV) in the case of a simple model:…
On the spin-spin correlation functions of the XXZ spin-1/2 infinite chain
N. Kitanine, J. M. Maillet, N. A. Slavnov +1
We obtain a new multiple integral representation for the spin-spin correlation functions of the XXZ spin-1/2 infinite chain. We show that this representation is closely related wit…
Correlation functions of the XXZ spin-1/2 Heisenberg chain at the free fermion point from their multiple integral representations
N. Kitanine, J. M. Maillet, N. A. Slavnov +1
Using multiple integral representations, we derive exact expressions for the correlation functions of the spin-1/2 Heisenberg chain at the free fermion point.
Form factor approach to dynamical correlation functions in critical models
N. Kitanine, K. K. Kozlowski, J. M. Maillet +2
We develop a form factor approach to the study of dynamical correlation functions of quantum integrable models in the critical regime. As an example, we consider the quantum non-li…
Antiperiodic XXZ chains with arbitrary spins: Complete eigenstate construction by functional equations in separation of variables
G. Niccoli, V. Terras
Generic inhomogeneous integrable XXZ chains with arbitrary spins are studied by means of the quantum separation of variables (SOV) method. Within this framework, a complete descrip…
On scalar products and form factors by Separation of Variables: the antiperiodic XXZ model
H. Pei, V. Terras
We consider the XXZ spin-1/2 Heisenberg chain with antiperiodic boundary conditions. The inhomogeneous version of this model can be solved by Separation of Variables (SoV), and the…
The open XXZ spin chain in the SoV framework: scalar product of separate states
N. Kitanine, J. M. Maillet, G. Niccoli +1
In our previous paper [1] we have obtained, for the XXX spin-1/2 Heisenberg open chain, new determinant representations for the scalar products of separate states in the quantum se…
On the thermodynamic limit of form factors in the massless XXZ Heisenberg chain
N. Kitanine, K. K. Kozlowski, J. M. Maillet +2
We consider the problem of computing form factors of the massless XXZ Heisenberg spin-1/2 chain in a magnetic field in the (thermodynamic) limit where the size M of the chain becom…
Multi-point local height probabilities of the CSOS model within the algebraic Bethe Ansatz framework
D. Levy-Bencheton, V. Terras
We study the local height probabilities of the exactly solvable cyclic solid-on-solid model within the algebraic Bethe Ansatz framework. We more specifically consider multi-point l…
Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
N. Kitanine, K. K. Kozlowski, J. M. Maillet +2
We describe a method to derive, from first principles, the long-distance asymptotic behavior of correlation functions of integrable models in the framework of the algebraic Bethe a…
Dynamical correlation functions of the XXZ spin-1/2 chain
N. Kitanine, J. M. Maillet, N. A. Slavnov +1
We derive a master equation for the dynamical spin-spin correlation functions of the XXZ spin-1/2 Heisenberg finite chain in an external magnetic field. In the thermodynamic limit,…
The open XYZ spin 1/2 chain: Separation of Variables and scalar products for boundary fields related by a constraint
G. Niccoli, V. Terras
We consider the open XYZ spin chain with boundary fields. We solve the model by the new Separation of Variables approach introduced in arXiv:1904.00852. In this framework, the tran…
Form factors of the XXZ Heisenberg spin-1/2 finite chain
N. Kitanine, J. M. Maillet, V. Terras
Form factors for local spin operators of the XXZ Heisenberg spin-1/2 finite chain are computed. Representation theory of Drinfel'd twists for the sl2 quantum affine algebra in fini…
On correlation functions of the open XYZ spin 1/2 chain with boundary fields related by a constraint
G. Niccoli, V. Terras
In this paper, we consider the quantum XYZ open spin-1/2 chain with boundary fields. We focus on the particular case in which the six boundary parameters are related by a single co…
Antiperiodic dynamical 6-vertex model by separation of variables II: Functional equations and form factors
D. Levy-Bencheton, G. Niccoli, V. Terras
We pursue our study of the antiperiodic dynamical 6-vertex model using Sklyanin's separation of variables approach, allowing in the model new possible global shifts of the dynamica…
The 8-vertex model with quasi-periodic boundary conditions
G. Niccoli, V. Terras
We study the inhomogeneous 8-vertex model (or equivalently the XYZ Heisenberg spin-1/2 chain) with all kinds of integrable quasi-periodic boundary conditions: periodic, -twis…
On the algebraic Bethe Ansatz approach to the correlation functions of the XXZ spin-1/2 Heisenberg chain
N. Kitanine, J. M. Maillet, N. A. Slavnov +1
We present a review of the method we have elaborated to compute the correlation functions of the XXZ spin-1/2 Heisenberg chain. This method is based on the resolution of the quantu…
Exact results for the sigma^z two-point function of the XXZ chain at Delta=1/2
N. Kitanine, J. M. Maillet, N. A. Slavnov +1
We propose a new multiple integral representation for the correlation function <sigma_1^z sigma_{m+1}^z> of the XXZ spin-1/2 Heisenberg chain in the disordered regime. We show that…
Drinfel'd Twists and Functional Bethe Ansatz
V. Terras
Using Functional Bethe Ansatz technique, factorizing Drinfel'd Twists for any finite dimensional irreducible representations of the Yangian Y(sl(2)) are constructed.
On correlation functions for the open XXZ chain with non-longitudinal boundary fields : the case with a constraint
G. Niccoli, V. Terras
This paper is a continuation of [1], in which a set of matrix elements of local operators was computed for the XXZ spin-1/2 open chain with a particular case of unparallel boundary…
Algebraic Bethe Ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model
D. Levy-Bencheton, V. Terras
We consider the problem of the exact computation of the correlation functions of the eight-vertex solid-on-solid model by means of the algebraic Bethe Ansatz. We compute the scalar…
Master equation for spin-spin correlation functions of the XXZ chain
N. Kitanine, J. M. Maillet, N. A. Slavnov +1
We derive a new representation for spin-spin correlation functions of the finite XXZ spin-1/2 Heisenberg chain in terms of a single multiple integral, that we call the master equat…
Thermodynamic limit of particle-hole form factors in the massless XXZ Heisenberg chain
N. Kitanine, K. K. Kozlowski, J. M. Maillet +2
We study the thermodynamic limit of the particle-hole form factors of the XXZ Heisenberg chain in the massless regime. We show that, in this limit, such form factors decrease as an…
Quantum Dynamical coBoundary Equation for finite dimensional simple Lie algebras
E. Buffenoir, Ph. Roche, V. Terras
For a finite dimensional simple Lie algebra g, the standard universal solution R(x) in of the Quantum Dynamical Yang--Baxter Equation can be built from the sta…
Long-distance asymptotic behaviour of multi-point correlation functions in massless quantum models
N. Kitanine, K. K. Kozlowski, J. M. Maillet +1
We provide a microscopic model setting that allows us to readily access to the large-distance asymptotic behaviour of multi-point correlation functions in massless, one-dimensional…
Large distance asymptotic behavior of the emptiness formation probability of the XXZ spin-1/2 Heisenberg chain
N. Kitanine, J. M. Maillet, N. A. Slavnov +1
Using its multiple integral representation, we compute the large distance asymptotic behavior of the emptiness formation probability of the XXZ spin-1/2 Heisenberg chain in the mas…
On correlation functions of integrable models associated to the six-vertex R-matrix
N. Kitanine, K. Kozlowski, J. M. Maillet +2
We derive an analog of the master equation obtained recently for correlation functions of the XXZ chain for a wide class of quantum integrable systems described by the R-matrix of…
Correlation functions of the open XXZ chain I
N. Kitanine, K. K. Kozlowski, J. M. Maillet +3
We consider the XXZ spin chain with diagonal boundary conditions in the framework of algebraic Bethe Ansatz. Using the explicit computation of the scalar products of Bethe states a…