5 papers
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…
Absence of local conserved charges of the Fredkin spin chain and its truncated versions
Wen-Ming Fan, Kun Hao, Yang-Yang Chen +3
Conservation laws serve as the hallmark of integrability. The absence of conserved charges typically implies that the model is nonintegrable. The recently proposed Fredkin spin cha…
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…