93 citations · 751 across the 37 of their papers we have counts for
38 papers
Quantum Dilogarithms and New Integrable Lattice Models in Three Dimensions
Vladimir V. Bazhanov, Rinat M. Kashaev, Vladimir V. Mangazeev +1
In this paper we introduce a new class of integrable 3D lattice models, possessing continuous families of commuting layer-to-layer transfer matrices. Algebraically, this commutativ…
On braided Hopf structures on exterior algebras
Rinat Kashaev, Vladimir Mangazeev
We show that the exterior algebra of a vector space of dimension greater than one admits a one-parameter family of braided Hopf algebra structures, arising from its identificat…
Triangular solutions to the reflection equation for
Dmitry Kolyaskin, Vladimir V Mangazeev
We study solutions of the reflection equation related to the quantum affine algebra . First, we explain how to construct a family of stochastic integrable vert…
Corner Transfer Matrix Approach to the Yang-Lee Singularity in the 2D Ising Model in a magnetic field
Vladimir V. Mangazeev, Bryte Hagan, Vladimir V. Bazhanov
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…
PT-symmetric quantum Rabi model
Xilin Lu, Hui Li, Jia-Kai Shi +4
In this work, we explore the PT-symmetric quantum Rabi model, which describes a PT-symmetric qubit coupled to a quantized light field. By employing the adiabatic approximation (AA)…
Hidden symmetry operators for asymmetric generalised quantum Rabi models
Xilin Lu, Zi-Min Li, Vladimir V. Mangazeev +1
The hidden symmetry of the asymmetric quantum Rabi model (AQRM) has recently been revealed via a systematic construction of the underlying symmetry operator. Based o…