Intertwining Markov Processes via Matrix Product Operators (opens in new tab)

arXiv:2603.09928v1 Announce Type: cross Abstract: Duality transformations reveal unexpected equivalences between seemingly distinct models. We introduce an out-of-equilibrium generalisation of matrix product operators to implement duality transformations in one-dimensional boundary-driven Markov processes on lattices. In contrast to local dualities associated with generalised symmetries, here the duality operator intertwines two Markov processes via generalised exchange relations and realise...