The open XXX spin chain in the SoV framework: scalar product of separate states
From MaRDI portal
Publication:5272614
DOI10.1088/1751-8121/aa6cc9zbMath1373.82020arXiv1606.06917OpenAlexW3104287479MaRDI QIDQ5272614
Giuliano Niccoli, N. A. Kitanine, Jean-Michel Maillet, Véronique Terras
Publication date: 30 June 2017
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.06917
open boundary conditionsquantum integrable modeldeterminant representation of scalar productsquantum separation of variables method
Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items
On scalar products and form factors by separation of variables: the antiperiodic XXZ model, Complete spectrum of quantum integrable lattice models associated to $\boldsymbol {\mathcal{U}_{q} (\widehat{gl_{n}})}$ by separation of variables, New separation of variables for the classical \(XXX\) and \(XXZ\) Heisenberg spin chains, New construction of eigenstates and separation of variables for SU(\(N\)) quantum spin chains, On separation of variables for reflection algebras, Eigenstates of triangularisable open XXX spin chains and closed-form solutions for the steady state of the open SSEP, The open XXZ spin chain in the SoV framework: scalar product of separate states, Quantum integrability and quantum groups: a special issue in memory of Petr P Kulish, Separation of variables for the quantum \(\mathrm{SL} (3, \mathbb{C} )\) spin magnet: eigenfunctions of the Sklyanin \(B\)-operator, On quantum separation of variables, New compact construction of eigenstates for supersymmetric spin chains, On complex gamma-function integrals, Determinant form of correlators in high rank integrable spin chains via separation of variables, Scalar products in twisted XXX spin chain. Determinant representation, Separation of variables and scalar products at any rank, Correlation functions for open XXZ spin 1/2 quantum chains with unparallel boundary magnetic fields
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Algebraic Bethe ansatz for open XXX model with triangular boundary matrices
- Completeness of Bethe ansatz by Sklyanin SOV for cyclic representations of integrable quantum models
- Spin chains with non-diagonal boundaries and trigonometric SOS model with reflecting end
- Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms
- Reconstruction of Baxter \(\mathbf Q\)-operator from Sklyanin SOV for cyclic representations of integrable quantum models
- The \(q\)-deformed analogue of the Onsager algebra: beyond the Bethe ansatz approach
- Modified algebraic Bethe ansatz for XXZ chain on the segment - I: Triangular cases
- Modified algebraic Bethe ansatz for XXZ chain on the segment. II: General cases
- Quantum inverse problem method. I
- Separation of variables in the open \(XXX\) chain
- Factorizing particles on a half-line and root systems
- Yang-Baxter equation and representation theory. I
- Exact solution of XXZ spin chain with unparallel boundary fields
- \(XXZ\) chain with a boundary
- Form factors of the \(XXZ\) Heisenberg spin-\(\frac 12\) finite chain
- Correlation functions of the \(XXZ\) Heisenberg spin-\({1\over 2}\) chain in a magnetic field
- Variations on Slavnov's scalar product
- Antiperiodic spin-1/2 \(XXZ\) quantum chains by separation of variables: complete spectrum and form factors
- On the form factors of local operators in the Bazhanov-Stroganov and chiral Potts models
- Antiperiodic XXZ chains with arbitrary spins: complete eigenstate construction by functional equations in separation of variables
- Off-diagonal Bethe ansatz solutions of the anisotropic spin-\(\frac{1}{2}\) chains with arbitrary boundary fields
- Heisenberg XXX model with general boundaries: eigenvectors from algebraic Bethe ansatz
- BOUNDARY S MATRIX AND BOUNDARY STATE IN TWO-DIMENSIONAL INTEGRABLE QUANTUM FIELD THEORY
- An inhomogeneousT-Qequation for the open XXX chain with general boundary terms: completeness and arbitrary spin
- Slavnov and Gaudin–Korepin formulas for models withoutU(1) symmetry: the XXX chain on the segment
- The eight-vertex model with quasi-periodic boundary conditions
- On determinant representations of scalar products and form factors in the SoV approach: the XXX case
- Functional Bethe ansatz methods for the openXXXchain
- Matrix coordinate Bethe Ansatz: applications to XXZ and ASEP models
- q-bosons, Toda lattice, Pieri rules and Baxterq-operator
- The sine–Gordon model revisited: I
- On the form factors of local operators in the lattice sine–Gordon model
- Non-diagonal open spin-1/2XXZquantum chains by separation of variables: complete spectrum and matrix elements of some quasi-local operators
- Form factor approach to dynamical correlation functions in critical models
- Thermal form factors of theXXZchain and the large-distance asymptotics of its temperature dependent correlation functions
- The complete spectrum and scalar products for the open spin-1/2 XXZ quantum chains with non-diagonal boundary terms
- Large-distance asymptotic behaviour of multi-point correlation functions in massless quantum models
- Open spin chains with generic integrable boundaries: Baxter equation and Bethe ansatz completeness from separation of variables
- Antiperiodic dynamical 6-vertex model by separation of variables II: functional equations and form factors
- Boundary K-matrices for the six vertex and the n(2n-1)An-1vertex models
- Bethe ansatz solution of the open XXZ chain with nondiagonal boundary terms
- Determinant formula for the six-vertex model with reflecting end
- Boundary conditions for integrable quantum systems
- An antiperiodic dynamical six-vertex model: I. Complete spectrum by SOV, matrix elements of the identity on separate states and connections to the periodic eight-vertex model
- Correlation functions of the openXXZchain: I
- Dynamical structure factor at smallqfor the XXZ spin-1/2 chain
- Exact spectrum of the XXZ open spin chain from theq-Onsager algebra representation theory
- Form factors and complete spectrum of XXX antiperiodic higher spin chains by quantum separation of variables
- SOV approach for integrable quantum models associated with general representations on spin-1/2 chains of the 8-vertex reflection algebra
- On the quantum inverse scattering problem.
- Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. III: Eigenvectors of the transfer matrix and Hamiltonian.
- Solving the open \(XXZ\) spin chain with nondiagonal boundary terms at roots of unity
- The scalar products and the norm of Bethe eigenstates for the boundary \(XXX\) Heisenberg spin-1/2 finite chain
- Modified algebraic Bethe ansatz for XXZ chain on the segment. III. Proof
