The physicist's companion to current fluctuations: one-dimensional bulk-driven lattice gases
A Lazarescu - Journal of Physics A: Mathematical and …, 2015 - iopscience.iop.org
One of the main features of statistical systems out of equilibrium is the currents they exhibit in
their stationary state: microscopic currents of probability between configurations, which …
their stationary state: microscopic currents of probability between configurations, which …
[HTML][HTML] Modified algebraic Bethe ansatz for XXZ chain on the segment–I: Triangular cases
S Belliard - Nuclear Physics B, 2015 - Elsevier
The modified algebraic Bethe ansatz, introduced by Crampé and the author [8], is used to
characterize the spectral problem of the Heisenberg XXZ spin-1 2 chain on the segment with …
characterize the spectral problem of the Heisenberg XXZ spin-1 2 chain on the segment with …
[HTML][HTML] Modified algebraic Bethe ansatz for XXZ chain on the segment–III–Proof
In this paper, we prove the off-shell equation satisfied by the transfer matrix associated with
the XXZ spin-1 2 chain on the segment with two generic integrable boundaries acting on the …
the XXZ spin-1 2 chain on the segment with two generic integrable boundaries acting on the …
[图书][B] Algebraic Bethe ansatz and correlation functions: an advanced course
N Slavnov - 2022 - World Scientific
This chapter describes a general scheme for constructing quantum integrable models within
the Quantum Inverse Scattering Method (QISM) framework. Much of what is described here …
the Quantum Inverse Scattering Method (QISM) framework. Much of what is described here …
Why scalar products in the algebraic Bethe ansatz have determinant representation
S Belliard, NA Slavnov - Journal of High Energy Physics, 2019 - Springer
A bstract We show that the scalar products of on-shell and off-shell Bethe vectors in the
algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find …
algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find …
Phantom Bethe roots in the integrable open spin- XXZ chain
X Zhang, A Klümper, V Popkov - Physical Review B, 2021 - APS
We investigate special solutions to the Bethe Ansatz equations (BAE) for open integrable
XXZ Heisenberg spin chains containing phantom (infinite) Bethe roots. The phantom Bethe …
XXZ Heisenberg spin chains containing phantom (infinite) Bethe roots. The phantom Bethe …
Chiral coordinate Bethe ansatz for phantom eigenstates in the open XXZ chain
X Zhang, A Klümper, V Popkov - Physical Review B, 2021 - APS
We construct the coordinate Bethe ansatz for all eigenstates of the open spin-1 2 XXZ chain
that fulfill the phantom roots criterion (PRC). Under the PRC, the Hilbert space splits into two …
that fulfill the phantom roots criterion (PRC). Under the PRC, the Hilbert space splits into two …
-invariant non-compact boundary conditions for the XXZ spin chain
D Chernyak, AM Gainutdinov, H Saleur - Journal of High Energy Physics, 2022 - Springer
A bstract We introduce new\({U} _ {\mathfrak {q}}{\mathfrak {sl}} _2\)-invariant boundary
conditions for the open XXZ spin chain. For generic values of\(\mathfrak {q}\) we couple the …
conditions for the open XXZ spin chain. For generic values of\(\mathfrak {q}\) we couple the …
Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
P Baseilhac, RA Pimenta - Nuclear Physics B, 2019 - Elsevier
Abstract An operator of Heun-Askey-Wilson type is diagonalized within the framework of the
algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and …
algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and …
Complete spectrum of quantum integrable lattice models associated to Y (gl (n)) by separation of variables
JM Maillet, G Niccoli - SciPost Physics, 2019 - scipost.org
We apply our new approach of quantum Separation of Variables (SoV) to the complete
characterization of the transfer matrix spectrum of quantum integrable lattice models …
characterization of the transfer matrix spectrum of quantum integrable lattice models …