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math.CO2025
Parametrizing the Grassmannian using pipe dreams
Kartik Singh
Postnikov gave a parametrization for the totally non-negative Grassmannian using the matroid decomposition and associating a network with \reflectbox{L}-diagrams. Talaska and Willi…
quant-ph2025
Directional quantum walks of two bosons on the Hatano-Nelson lattice
Sk Anisur, Kartik Singh, Sayan Choudhury
We theoretically investigate the interplay of interactions and non-Hermiticity in the dynamics of two bosons on the one-dimensional Hatano-Nelson lattice with non-reciprocal tunnel…