Many-body entanglement and topology from uncertainties and measurement-induced modes

Abstract

We present universal characteristics of quantum entanglement and topology through virtual entanglement modes that fluctuate into existence in subsystem measurements. For generic interacting systems and extensive conserved quantities, these modes give rise to a statistical uncertainty which corresponds to entanglement entropies. Consequently, the measurement-induced modes provide directly observable route to entanglement and its scaling laws. Moreover, in topological systems, the measurement-induced edge modes give rise to quantized and non-analytic uncertainties, providing easily accessible signatures of topology. Our work provides a much-needed direct method to probe the performance of emerging quantum simulators to realize entangled and topological states.

9 pages, 6 figures. Updated due to publication

References in corpus (10)

• Probing many-body dynamics on a 51-atom quantum simulator
• Many body localization and thermalization in quantum statistical mechanics
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Black holes as mirrors: quantum information in random subsystems
• Identifying Topological Order by Entanglement Entropy
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Entanglement and correlation functions following a local quench: a conformal field theory approach
• Bipartite entanglement and entropic boundary law in lattice spin systems
• Absence of Thermalization in Nonintegrable Systems
• Entanglement entropy in fermionic Laughlin states

Cited by in corpus (5)

• Exponential shortcut to measurement-induced entanglement phase transitions
• Symmetry-Resolved Entanglement of $C_2$-symmetric Topological Insulators
• Boiling Quantum Vacuum: Thermal Subsystems from Ground-State Entanglement
• Statistic behaviors of gauge-invariance-dominated 1D chiral current random model
• Entanglement entropy scaling laws from fluctuations of non-conserved quantities