activity
20162025
most citedCurrent presentation for the double super-Yangian and Bethe vectors

46 citations · 302 across the 19 of their papers we have counts for

collaborators

19 papers

math-ph2025

Full counting statistics for twisted XXX spin chains

S. Belliard, A. Hutsalyuk

Full counting statistics for an arbitrary spin operator is considered for the twisted XXX spin one-half chain. We use the quantum inverse scattering formalism and the modified alge…

quant-ph2024★ 3 cited

Exact Spin Correlators of Integrable Quantum Circuits from Algebraic Geometry

Arthur Hutsalyuk, Yunfeng Jiang, Balazs Pozsgay +2

We calculate the correlation functions of strings of spin operators for integrable quantum circuits exactly. These observables can be used for calibration of quantum simulation pla…

cond-mat.str-el2023★ 9 cited

Finite temperature spin diffusion in the Hubbard model in the strong coupling limit

Oleksandr Gamayun, Arthur Hutsalyuk, Balázs Pozsgay +1

We investigate finite temperature spin transport in one spatial dimension by considering the spin-spin correlation function of the Hubbard model in the limiting case of infinitely…

cond-mat.stat-mech2022★ 2 cited

Sub-lattice entanglement in an exactly solvable anyon-like spin ladder

Balázs Pozsgay, Arthur Hutsalyuk, Levente Pristyák +1

We introduce an integrable spin ladder model and study its exact solution, correlation functions, and entanglement properties. The model supports two particle types (corresponding…

cond-mat.stat-mech2021★ 29 cited

Integrable hard rod deformation of the Heisenberg spin chains

Balázs Pozsgay, Tamás Gombor, Arthur Hutsalyuk

We present new integrable models of interacting spin-1/2 chains, which can be interpreted as hard rod deformations of the XXZ Heisenberg chains. The models support multiple particl…

cond-mat.stat-mech2021★ 13 cited

An integrable spin chain with Hilbert space fragmentation and solvable real time dynamics

Balázs Pozsgay, Tamás Gombor, Arthur Hutsalyuk +3

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…

hep-th2021

Master equation for correlation functions in algebra symmetry related models

Arthur Hutsalyuk, Andrii Liashyk

We consider integrable models solved by the nested algebraic Bethe ansatz and associated with or algebra symmetry. The analogue of sum formu…

cond-mat.quant-gas2021★ 18 cited

Integrability breaking in the one dimensional Bose gas: Atomic losses and energy loss

Arthur Hutsalyuk, Balázs Pozsgay

The one dimensional -function interacting Bose gas (the Lieb-Liniger model) is an integrable system, which can model experiments with ultra cold atoms in one dimensional traps.…

cond-mat.stat-mech2020★ 5 cited

The LeClair-Mussardo series and nested Bethe Ansatz

Arthur Hutsalyuk, Balázs Pozsgay, Levente Pristyák

We consider correlation functions in one dimensional quantum integrable models related to the algebra symmetries and . Using the algebraic Be…

math-ph2020★ 12 cited

Actions of the monodromy matrix elements onto -invariant Bethe vectors

A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak +2

Multiple actions of the monodromy matrix elements onto off-shell Bethe vectors in the -invariant quantum integrable models are calculated. These actions are use…

hep-th2018★ 13 cited

On the calculation of the correlation functions of the -model by means of the reduced qKZ equation

Hermann Boos, Artur Hutsalyuk, Khazret Nirov

We study the reduced density matrix of the -invariant fundamental exchange model by means of a novel reduced quantum Knizhnik-Zamolodchikov equation. This gives us…

math-ph2017★ 13 cited

Scalar products and norm of Bethe vectors for integrable models based on

A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak +2

We obtain recursion formulas for the Bethe vectors of models with periodic boundary conditions solvable by the nested algebraic Bethe ansatz and based on the quantum affine algebra…

math-ph2017★ 22 cited

Norm of Bethe vectors in models with symmetry

A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak +2

We study quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing -invariant -matrix. We compute the norm of the Hamiltonian ei…

math-ph2017★ 37 cited

Scalar products of Bethe vectors in the models with symmetry

A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak +2

We study scalar products of Bethe vectors in the models solvable by the nested algebraic Bethe ansatz and described by superalgebra. Using coproduct properties…

math-ph2016★ 46 cited

Current presentation for the double super-Yangian and Bethe vectors

A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak +2

We find Bethe vectors for quantum integrable models associated with the supersymmetric Yangians in terms of the current generators of the Yangian double $DY(…

math-ph2016★ 21 cited

Form factors of the monodromy matrix entries in gl(2|1)-invariant integrable models

A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak +2

We study integrable models solvable by the nested algebraic Bethe ansatz and described by or superalgebras. We obtain explicit determinant…

math-ph2016★ 31 cited

Scalar products of Bethe vectors in models with symmetry 2. Determinant representation

A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak +2

We study integrable models with symmetry and solvable by nested algebraic Bethe ansatz. We obtain a determinant representation for scalar products of Bethe vec…

math-ph2016★ 2 cited

Scalar products of Bethe vectors in models with symmetry 1. Super-analog of Reshetikhin formula

A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak +2

We study scalar products of Bethe vectors in integrable models solvable by nested algebraic Bethe ansatz and possessing symmetry. Using explicit formulas of th…

math-ph2016★ 26 cited

Multiple Actions of the Monodromy Matrix in -Invariant Integrable Models

Arthur Hutsalyuk, Andrii Liashyk, Stanislav Z. Pakuliak +2

We study symmetric integrable models solvable by the nested algebraic Bethe ansatz. Using explicit formulas for the Bethe vectors we derive the actions of the…