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Even in the absence of unitary evolution, measurements alone can induce a rich variety of dynamical phases and phenomena in many-body quantum systems. Inspired by the Kitaev honeycomb Hamiltonian, a paradigmatic model of topological physics, the authors construct here a stochastic measurement-only dynamics on a honeycomb lattice and show that it hosts distinct entanglement phases, including phases that protect topological qubits for an exponential amount of time and a critical phase with exotic dynamical scaling.
Sriram et al. (Fri,) studied this question.