Entanglement Witness for Indistinguishable Electrons using Solid-State Spectroscopy

Abstract

Characterizing entanglement in quantum materials is crucial for advancing next-generation quantum technologies. Despite recent strides in witnessing entanglement in magnetic materials with distinguishable spin modes, quantifying entanglement in systems formed by indistinguishable electrons remains a formidable challenge. To solve this problem, we introduce a method to extract various four-fermion correlations by analyzing the nonlinearity in resonant inelastic x-ray scattering spectra. These correlations constitute the primary components of the cumulant two-particle reduced density matrix. We further derive bounds for its eigenvalues and demonstrate the linear scaling with fermionic entanglement depth, providing a reliable witness for entanglement. Using the material-relevant strongly correlated models as examples, we show how this entanglement witness can efficiently quantify multipartite entanglement across different phase regions, highlighting its advantage over quantum Fisher information.

28 pages, 15 figures

References in corpus (78)

• Topological insulators and superconductors
• Quantum entanglement
• Gaussian Quantum Information
• Entanglement Entropy and Quantum Field Theory
• Area laws for the entanglement entropy - a review
• Topological entanglement entropy
• Detecting topological order in a ground state wave function
• Resonant Inelastic X-ray Scattering Studies of Elementary Excitations
• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Measuring entanglement entropy through the interference of quantum many-body twins
• Quantum thermalization through entanglement in an isolated many-body system
• Entanglement, Non-linear Dynamics, and the Heisenberg Limit
• Universal state inversion and concurrence in arbitrary dimensions
• Probing entanglement entropy via randomized measurements
• Fisher information and multiparticle entanglement
• Classification of mixed three-qubit states
• Multipartite entanglement and high precision metrology
• Decoherence and multipartite entanglement
• Quantum Correlations in Systems of Indistinguishable Particles
• Quantum Correlations in Two-Fermion Systems
• Three-Dimensional Charge Density Wave Order in YBa2Cu3O6.67 at High Magnetic Fields
• Measuring multipartite entanglement via dynamic susceptibilities
• Entanglement Certification $-$ From Theory to Experiment
• General criterion for the entanglement of two indistinguishable particles
• Dynamics of Entanglement in One-Dimensional Spin Systems
• On solving quantum many-body problems by experiment
• Measuring orbital interaction using quantum information theory
• Concurrence of mixed multi-partite quantum states
• Multipartite entanglement in spin chains
• Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
• Imaging magnetic polarons in the doped Fermi-Hubbard model
• Resonant X-rays at the Cu L-edge as a momentum dependent probe of the magnetic excitation spectrum in cuprates
• The 2021 Quantum Materials Roadmap
• Emergence of coherence in the charge-density wave state of 2H-NbSe${}_2$
• Studying quantum spin systems through entanglement estimators
• Three dimensional collective charge excitations in electron-doped cuprate superconductors
• Anomalously Strong Near-Neighbor Attraction in Doped 1D Cuprate Chains
• Crucial Role of Quantum Entanglement in Bulk Properties of Solids
• Asymmetry of collective excitations in electron and hole doped cuprate superconductors
• Time-Resolved Observation of Spin-Charge Deconfinement in Fermionic Hubbard Chains
• Orbital entanglement in quantum chemistry
• Point nodes persisting far beyond Tc in Bi2212
• Measuring the Renyi entropy of a two-site Fermi-Hubbard model on a trapped ion quantum computer
• Measuring Multipartite Concurrence with a Single Factorizable Observable
• Separability Criteria and Entanglement Measures for Pure States of N Identical Fermions
• Witnessing quantum criticality and entanglement in the triangular antiferromagnet KYbSe${}_2$
• Witnessing entanglement in quantum magnets using neutron scattering
• Direct observation of incommensurate magnetism in Hubbard chains
• Quantifying and controlling entanglement in the quantum magnet Cs${}_2$CoCl${}_4$
• Pairing in fermionic systems: A quantum information perspective
• Resonant Inelastic X-ray Scattering on Spin-Orbit Coupled Insulating Iridates
• Resonant inelastic X-ray scattering response of the Kitaev honeycomb model
• Using RIXS to uncover elementary charge and spin excitations in correlated materials
• Incoherent Cooper pairing and pseudogap behavior in single-layer FeSe/SrTiO${}_3$
• Experimental realisation of multipartite entanglement via quantum Fisher information in a uniform antiferromagnetic quantum spin chain
• Theoretical Understanding of Photon Spectroscopies in Correlated Materials In and Out of Equilibrium
• Spectroscopic Evidence of Superconductivity Pairing at 83 K in Single-Layer FeSe/SrTiO3 Films
• Extracting the field theory description of a quantum many-body system from experimental data
• Universality of Schmidt decomposition and particle identity
• Spin-Triplet Pairing Induced by Near-Neighbor Attraction in the Cuprate Chain
• Femtosecond dynamics of magnetic excitations from resonant inelastic x-ray scattering in CaCu2O3
• Multipartite concurrence for identical-fermion systems
• Superconducting fluctuations in overdoped Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Role of electron-phonon coupling in excitonic insulator candidate Ta2NiSe5
• Experimental extraction of the quantum effective action for a non-equilibrium many-body system
• Dominant fifth-order correlations in doped quantum anti-ferromagnets
• From entanglement certification with quench dynamics to multipartite entanglement of interacting fermions
• Witnessing Light-Driven Entanglement using Time-Resolved Resonant Inelastic X-Ray Scattering
• Anomalous excitonic phase diagram in band-gap-tuned Ta2Ni(Se,S)5
• Entanglement classification of three fermions with up to nine single-particle states
• Multipartite entanglement in the 1-D spin-$\frac{1}{2}$ Heisenberg Antiferromagnet
• Plasmon dispersion in bilayer cuprate superconductors
• Spectroscopic signatures of next-nearest-neighbor hopping in the charge and spin dynamics of doped one-dimensional antiferromagnets
• Large Cumulant Eigenvalue as a Signature of Exciton Condensation
• Higher-Order Spin-Hole Correlations around a Localized Charge Impurity
• Electron-mediated entanglement of two distant macroscopic ferromagnets within a nonequilibrium spintronic device
• Generation of tripartite entangled states with fermionic systems
• Geometric Constraints on Two-electron Reduced Density Matrices

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