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Integrability of one-dimensional Lindbladians from operator-space fragmentation

Integrability of one-dimensional Lindbladians from operator-space fragmentation

We introduce families of one-dimensional Lindblad equations describing open many-particle quantum systems that are exactly solvable in the following sense: (i) The space of operators splits into exponentially many (in system size) subspaces that are left invariant under the dissipative evolution; (ii) the time evolution of the density matrix on …