Measurement-induced criticality in extended and long-range unitary circuits

Abstract

We explore the dynamical phases of unitary Clifford circuits with variable-range interactions, coupled to a monitoring environment. We investigate two classes of models, distinguished by the action of the unitary gates, which either are organized in clusters of finite-range two-body gates, or are pair-wise interactions randomly distributed throughout the system with a power-law distribution. We find the range of the interactions plays a key role in characterizing both phases and their measurement-induced transitions. For the cluster unitary gates we find a transition between a phase with volume-law scaling of the entanglement entropy and a phase with area-law entanglement entropy. Our results indicate that the universality class of the phase transition is compatible to that of short range hybrid Clifford circuits. Oppositely, in the case of power-law distributed gates, we find the universality class of the phase transition changes continuously with the parameter controlling the range of interactions. In particular, for intermediate values of the control parameter, we find a non-conformal critical line which separates a phase with volume-law scaling of the entanglement entropy from one with sub-extensive scaling. Within this region, we find the entanglement entropy and the logarithmic negativity present a cross-over from a phase with algebraic growth of entanglement with system size, and an area-law phase.

References in corpus (21)

• Critical properties of the measurement-induced transition in random quantum circuits
• Bipartite entanglement and entropic boundary law in lattice spin systems
• Long-range interacting quantum systems
• Ground state entanglement and geometric entropy in the Kitaev's model
• Postselection-free entanglement dynamics via spacetime duality
• Measurement-induced dark state phase transitions in long-ranged fermion systems
• Entanglement and charge-sharpening transitions in U(1) symmetric monitored quantum circuits
• Entanglement Transition in the Projective Transverse Field Ising Model
• Operator scaling dimensions and multifractality at measurement-induced transitions
• Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
• Growth of entanglement entropy under local projective measurements
• Universal behavior beyond multifractality of wave-functions at measurement--induced phase transitions
• Bridging entanglement dynamics and chaos in semiclassical systems
• Continuous Gaussian Measurements of the Free Boson CFT: A model for Exactly Solvable and Detectable Measurement-Induced Dynamics
• Simulating a measurement-induced phase transition for trapped ion circuits
• Classical Models of Entanglement in Monitored Random Circuits
• Measurement-induced phase transitions in sparse nonlocal scramblers
• Multifractality in non-unitary random dynamics
• Entanglement entropy of the long-range Dyson hierarchical model
• Entanglement transitions from restricted Boltzmann machines
• Entanglement Entropy Transitions with Random Tensor Networks