Emergent deterministic entanglement dynamics in monitored infinite-range bosonic systems
arXiv:2506.18624 · doi:10.1103/bhst-127b
Abstract
We study monitored quantum dynamics of infinite-range interacting bosonic systems in the thermodynamic limit. We show that under semiclassical assumptions, the quantum fluctuations along single monitored trajectories adopt a deterministic limit for both quantum-jump and state-diffusion unravelings, and they can be exactly solved. In particular, the hierarchical structure of the equations of motion explains the coincidence of entanglement criticalities and dissipative phase transitions found in previous finite-size numerical studies. We illustrate the findings on a Bose-Hubbard dimer and a collective spin system.
12 pages, 5 figures
References in corpus (38)
- Measurement-Induced Phase Transitions in the Dynamics of Entanglement
- Quantum Zeno Effect and the Many-body Entanglement Transition
- Dynamical purification phase transitions induced by quantum measurements
- Entanglement transition in a monitored free fermion chain -- from extended criticality to area law
- Entanglement in a fermion chain under continuous monitoring
- Scalable probes of measurement-induced criticality
- Boundary time crystals
- Measurement-Induced Entanglement Transitions in the Quantum Ising Chain: From Infinite to Zero Clicks
- Symplectic invariants, entropic measures and correlations of Gaussian states
- Observation of measurement-induced quantum phases in a trapped-ion quantum computer
- Entanglement phase transitions in measurement-only dynamics
- Postselection-free entanglement dynamics via spacetime duality
- Measurement-induced quantum criticality under continuous monitoring
- Measurement-induced entanglement and teleportation on a noisy quantum processor
- Experimental Realization of a Measurement-Induced Entanglement Phase Transition on a Superconducting Quantum Processor
- A measure of the non-Gaussian character of a quantum state
- SYK meets non-Hermiticity II: measurement-induced phase transition
- Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
- Topological transitions with continuously monitored free fermions
- Exactness of mean-field equations for open Dicke models with an application to pattern retrieval dynamics
- Quantum entanglement in the spatial symmetry breaking phase transition of a driven-dissipative Bose-Hubbard dimer
- Origin of the slow growth of entanglement entropy in long-range interacting spin systems
- Controlling entanglement at absorbing state phase transitions in random circuits
- Driven Bose-Hubbard dimer under nonlocal dissipation: A bistable time crystal
- Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain
- Continuous Gaussian Measurements of the Free Boson CFT: A model for Exactly Solvable and Detectable Measurement-Induced Dynamics
- Triviality of quantum trajectories close to a directed percolation transition
- Many-body Dynamics in Monitored Atomic Gases Without Post-Selection Barrier
- Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems
- Optically bistable driven-dissipative Bose-Hubbard dimer: Gutzwiller approaches and entanglement
- Multivariate Central Limit Theorem in Quantum Dynamics
- Dynamics of entanglement in a dissipative Bose-Hubbard dimer
- Long-range interacting systems are locally non-interacting
- Measurement-induced phase transitions in monitored infinite-range interacting systems
- Entanglement and absorbing state transitions in -dimensional stabilizer circuits
- Monitored long-range interacting systems: spin-wave theory for quantum trajectories
- Dissipation-induced antiferromagnetic-like frustration in coupled photonic resonators
- Semiclassical bifurcations and quantum trajectories: a case study of the open Bose-Hubbard dimer