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pro vyhledávání: '"Mangazeev, Vladimir V."'
Publikováno v:
Journal of Physics A: Math. Theor. 57 245201 (2024)
We study solutions of the reflection equation related to the quantum affine algebra $U_q(\widehat{sl_n})$. First, we explain how to construct a family of stochastic integrable vertex models with fixed boundary conditions. Then, we construct upper- an
Externí odkaz:
http://arxiv.org/abs/2402.05442
Publikováno v:
Physical Review E 108, 064136 (2023)
We study the 2D Ising model in a complex magnetic field in the vicinity of the Yang-Lee edge singularity. By using Baxter's variational corner transfer matrix method combined with analytic techniques, we numerically calculate the scaling function and
Externí odkaz:
http://arxiv.org/abs/2308.15113
Publikováno v:
Chinese Phys. B 31, 014210 (2022)
The hidden $\mathbb{Z}_2$ symmetry of the asymmetric quantum Rabi model (AQRM) has recently been revealed via a systematic construction of the underlying symmetry operator. Based on the AQRM result, we propose an ansatz for the general form of the sy
Externí odkaz:
http://arxiv.org/abs/2104.14164
Publikováno v:
J. Phys. A: Math. Theor. 54, 325202 (2021)
The symmetry operators generating the hidden $\mathbb{Z}_2$ symmetry of the asymmetric quantum Rabi model (AQRM) at bias $\epsilon \in \frac{1}{2}\mathbb{Z}$ have recently been constructed by V. V. Mangazeev et al. [J. Phys. A: Math. Theor. 54 12LT01
Externí odkaz:
http://arxiv.org/abs/2103.13730
Publikováno v:
J. Phys. A: Math. Theor. 54 (2021) 12LT01 (10pp)
The asymmetric quantum Rabi model (AQRM) exhibits level crossings in the eigenspectrum for the values $\epsilon\in\frac{1}{2}\mathbb{Z}$ of the bias parameter $\epsilon$. Such level crossings are expected to be associated with some hidden symmetry of
Externí odkaz:
http://arxiv.org/abs/2010.02496
Autor:
Mangazeev, Vladimir V., Lu, Xilin
Publikováno v:
Nuclear Physics B 945 (2019) 114665
In this paper we consider solutions to the reflection equation related to the higher spin stochastic six vertex model. The corresponding higher spin $R$-matrix is associated with the affine quantum algebra $U_q(\widehat{sl(2)})$. The explicit formula
Externí odkaz:
http://arxiv.org/abs/1903.00274
Autor:
Kuniba, Atsuo, Mangazeev, Vladimir V.
Publikováno v:
Nucl. Phys. B922 (2017) 148--185
The stochastic $R$ matrix for $U_q(A^{(1)}_n)$ introduced recently gives rise to an integrable zero range process of $n$ classes of particles in one dimension. For $n=2$ we investigate how finitely many first class particles fixed as defects influenc
Externí odkaz:
http://arxiv.org/abs/1705.10979
Publikováno v:
Physica D: Nonlinear Phenomena, v 384-385, p 39-63, 2018
We consider the squared singular values of the product of $M$ standard complex Gaussian matrices. Since the squared singular values form a determinantal point process with a particular Meijer G-function kernel, the gap probabilities are given by a Fr
Externí odkaz:
http://arxiv.org/abs/1705.07536
Akademický článek
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Publikováno v:
J. Phys. A: Math. Theor. 50, 010301 (2017)
This is an introduction to Exactly Solved Models and Beyond, a special issue collection of articles published in J. Phys. A in honour of R J Baxter's 75th birthday.
Comment: 6 pages, 1 figure
Comment: 6 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/1608.04899