Topology, criticality, and dynamically generated qubits in a stochastic measurement-only Kitaev model
Adithya Sriram, Tibor Rakovszky, Vedika Khemani, Matteo Ippoliti
Abstract
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.
Topics & Concepts
Quantum entanglementQubitTopology (electrical circuits)Unitary stateHamiltonian (control theory)PhysicsCriticalityScalingQuantumStatistical physicsLattice (music)Theoretical physicsQuantum mechanicsMathematicsGeometryMathematical optimizationAcousticsNuclear physicsPolitical scienceLawCombinatoricsQuantum many-body systemsAdvanced Condensed Matter PhysicsTopological Materials and Phenomena