167 citations · 332 across the 36 of their papers we have counts for
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Thermodynamics of the Heisenberg XXX chain with negative spin
Rong Zhong, Yang-Yang Chen, Kun Hao +2
We study the thermodynamics of the isotropic Heisenberg XXX spin chain with negative spin, focusing on the case . The model is equivalent to the quantum lattice nonlinear Sch…
Clifford Solver for the Tetrahedron Equation and its Variants
Pramod Padmanabhan, Vivek Kumar Singh, Vladimir Korepin
The different forms of the tetrahedron equation appear when all possible ways to label the scattering process of infinitely long straight lines are considered in three dimensional…
Almost local integrable models from supersymmetry algebras
Somnath Maity, Pramod Padmanabhan, Jarmo Hietarinta +1
Supersymmetry algebras can be used to obtain algebraic expressions for constant Yang-Baxter solutions, also known as braid group generators. This was done for non-invertible braid…
The Yang-Baxter integrability of the critical Ising chain
Akash Sinha, Tinu Justin, Pramod Padmanabhan +1
We show that the one dimensional, critical transverse field Ising model is Yang-Baxter integrable. This is done by constructing commuting transfer matrices built out of a -matri…
Non-hermitian integrable systems from constant non-invertible solutions of the Yang-Baxter equation
Somnath Maity, Pramod Padmanabhan, Vladimir Korepin
We construct invertible spectral parameter dependent Yang-Baxter solutions (-matrices) by Baxterizing constant non-invertible Yang-Baxter solutions. The solutions are algebraic…
Non-invertible symmetry breaking in a frustration-free spin chain
Akash Sinha, Vivek Kumar Singh, Pramod Padmanabhan +2
A nearest-neighbor, frustration-free spin chain can be constructed {\it via} projectors of various ranks á la Bravyi-Gosset. We show that in the rank 1 case this syst…
Majorana fermions solve the tetrahedron equations as well as higher simplex equations
Pramod Padmanabhan, Vladimir Korepin
Yang-Baxter equations define quantum integrable models. The tetrahedron and higher simplex equations are multi-dimensional generalizations. Finding the solutions of these equations…
Algebraic classification of Hietarinta's solutions of Yang-Baxter equations~:~invertible operators
Somnath Maity, Vivek Kumar Singh, Pramod Padmanabhan +1
In order to examine the simulation of integrable quantum systems using quantum computers, it is crucial to first classify Yang-Baxter operators. Hietarinta was among the first to c…
Solving the Yang-Baxter, tetrahedron and higher simplex equations using Clifford algebras
Pramod Padmanabhan, Vladimir Korepin
Bethe Ansatz was discoverd in 1932. Half a century later its algebraic structure was unearthed: Yang-Baxter equation was discovered, as well as its multidimensional generalizations…
Yang-Baxter solutions from commuting operators
Pramod Padmanabhan, Kun Hao, Vladimir Korepin
We construct -matrices (with a multidimensional spectral parameter) that include additive as well as non-additive parameters. They satisfy the colored Yang-Baxter equation. The…