Integrable spin chain with Hilbert space fragmentation and solvable real-time dynamics

B Pozsgay, T Gombor, A Hutsalyuk, Y Jiang, L Pristyák… - Physical Review E, 2021 - APS
We revisit the so-called folded XXZ model, which was treated earlier by two independent
research groups. We argue that this spin-1/2 chain is one of the simplest quantum integrable …

Off-diagonal Bethe ansatz and exact solution of a topological spin ring

J Cao, WL Yang, K Shi, Y Wang - Physical review letters, 2013 - APS
A general method is proposed for constructing the Bethe ansatz equations of integrable
models without U (1) symmetry. As an example, the exact spectrum of the XXZ spin ring with …

Thermodynamic limit of the six-vertex model with domain wall boundary conditions

V Korepin, P Zinn-Justin - Journal of Physics A: Mathematical and …, 2000 - iopscience.iop.org
We address the question of the dependence of the bulk free energy on boundary conditions
for the six-vertex model. Here we compare the bulk free energy for periodic and domain wall …

Off-diagonal Bethe ansatz solution of the XXX spin chain with arbitrary boundary conditions

J Cao, WL Yang, K Shi, Y Wang - Nuclear Physics B, 2013 - Elsevier
Employing the off-diagonal Bethe ansatz method proposed recently by the present authors,
we exactly diagonalize the XXX spin chain with arbitrary boundary fields. By constructing a …

Off-diagonal Bethe ansatz solutions of the anisotropic spin-12 chains with arbitrary boundary fields

J Cao, WL Yang, K Shi, Y Wang - Nuclear Physics B, 2013 - Elsevier
The anisotropic spin-1 2 chains with arbitrary boundary fields are diagonalized with the off-
diagonal Bethe ansatz method. Based on the properties of the R-matrix and the K-matrices …

Antiperiodic spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and form factors

G Niccoli - Nuclear Physics B, 2013 - Elsevier
In this paper we consider the spin-1/2 highest weight representations for the 6-vertex Yang–
Baxter algebra on a finite lattice and analyze the integrable quantum models associated to …

Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables: complete spectrum and matrix elements of some quasi-local operators

G Niccoli - Journal of statistical mechanics: theory and …, 2012 - iopscience.iop.org
The integrable quantum models, associated with the transfer matrices of the 6-vertex
reflection algebra for spin-1/2 representations, are studied in this paper. In the framework of …

Dissipative quantum Ising chain as a non-Hermitian Ashkin-Teller model

N Shibata, H Katsura - Physical Review B, 2019 - APS
We study a quantum Ising chain with tailored bulk dissipation, which can be mapped onto a
non-Hermitian Ashkin-Teller model. By exploiting the Kohmoto-den Nijs-Kadanoff …

Anti-periodic solutions to nonmonotone evolution equations with discontinuous nonlinearities

S Aizicovici, M McKibben, S Reich - Nonlinear Analysis: Theory, Methods & …, 2001 - Elsevier
The purpose of this paper is two-fold. First, we discuss the existence of solutions to the anti-
periodic boundary value problem aut (t; x)+ Au (t; x)− bu (t; x)+ f (u (t; x)) h (t; x);(1.1 a) u (0; …

Boundary correlation functions of the six-vertex model

NM Bogoliubov, AG Pronko… - Journal of Physics A …, 2002 - iopscience.iop.org
We consider the six-vertex model on an N× N square lattice with the domain wall boundary
conditions. Boundary one-point correlation functions of the model are expressed as …