Disentangling quantum matter with measurements

Abstract

Measurements destroy entanglement. Building on ideas used to study `quantum disentangled liquids', we explore the use of this effect to characterize states of matter. We focus on systems with multiple components, such as charge and spin in a Hubbard model, or local moments and conduction electrons in a Kondo lattice model. In such systems, measurements of (a subset of) one of the components can leave behind a quantum state of the other that is easy to understand, for example in terms of scaling of entanglement entropy of subregions. We bound the outcome of this protocol, for any choice of measurement, in terms of more standard information-theoretic quantities. We apply this quantum disentangling protocol to several problems of physical interest, including gapless topological phases, heavy fermions, and scar states in Hubbard model.

36 pages, 12 figures. v2: many improvements in presentation

References in corpus (17)

• Thermalization and its mechanism for generic isolated quantum systems
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Quantum information can be negative
• Fractionalized Fermi liquids
• Entanglement Entropy of Eigenstates of Quantum Chaotic Hamiltonians
• Gapless topological phases and symmetry-enriched quantum criticality
• Topology and edge modes in quantum critical chains
• Bipartite entanglement entropy in fractional quantum Hall states
• Fermi Surface Reconstruction without Breakdown of Kondo Screening at Quantum Critical Point
• Renyi Entropy of Chaotic Eigenstates
• Entanglement between Two Interacting CFTs and Generalized Holographic Entanglement Entropy
• Structure of chaotic eigenstates and their entanglement entropy
• Asymptotic Correlations in Gapped and Critical Topological Phases of 1D Quantum Systems
• Continuous transitions between composite Fermi liquid and Landau Fermi liquid: a route to fractionalized Mott insulators
• Kondo Breakdown via Fractionalization in a Frustrated Kondo Lattice Model
• Mutual information in heavy-fermion systems
• Atypical energy eigenstates in the Hubbard chain and quantum disentangled liquids

Cited by in corpus (11)

• Long-range entanglement from measuring symmetry-protected topological phases
• Measurements conspire nonlocally to restructure critical quantum states
• Probing sign structure using measurement-induced entanglement
• Quantum walks: the first detected transition time
• Entanglement transitions as a probe of quasiparticles and quantum thermalization
• Subdiffusive dynamics and critical quantum correlations in a disorder-free localized Kitaev honeycomb model out of equilibrium
• Visualizing Quasiparticles from Quantum Entanglement for general 1D phases
• Gapless symmetry-protected topological phase of quantum antiferromagnets on anisotropic triangular strip
• Incommensurate gapless ferromagnetism connecting competing symmetry-enriched deconfined quantum phase transitions
• Rise and fall of nonstabilizerness via random measurements
• Crossover from Quantum Chaos to a Reversed Quantum Disentangled Liquid in a Disorder-Free Spin Ladder