Measurement-induced phase transition: A case study in the nonintegrable model by density-matrix renormalization group calculations
Qicheng Tang, W. Zhu
Abstract
The quantum dynamics process, such as thermalization and information scrambling, is not immune to non-unitary operations. In this work, the authors investigate the local projective measurements in the quantum dynamics of a non-integrable lattice model. The phase diagram features a stable volume-law, entangling, phase with finite small measurement rate and an area-law, disentangling, phase with large measurement rate. Scaling behaviors at the critical point suggest the scale invariance and a single universality class of criticality.
Topics & Concepts
Renormalization groupScalingQuantum phase transitionScale invarianceScramblingPhysicsQuantumStatistical physicsPhase diagramPhase transitionCritical exponentQuantum critical pointThermalisationUnitary stateUniversality (dynamical systems)Integrable systemQuantum mechanicsMathematical physicsMathematicsPhase (matter)GeometryLawPolitical scienceAlgorithmQuantum many-body systemsOpinion Dynamics and Social InfluenceTheoretical and Computational Physics