Tutorial: Extracting entanglement signatures from neutron spectroscopy

Abstract

This tutorial is a pedagogical introduction to recent methods of computing quantum spin entanglement witnesses from spectroscopy, with a special focus on neutron scattering on quantum spin systems. We offer a brief introduction to the concepts and equations, define a data analysis protocol, and discuss the interpretation of three entanglement witnesses: one-tangle, two-tangle, and Quantum Fisher Information. We also discuss practical experimental considerations, and give three examples of extracting entanglement witnesses from experimental data: Copper Nitrate, KCuF3, and NiPS3.

11 pages, 5 figures

References in corpus (39)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Bell nonlocality
• Distributed Entanglement
• Entanglement detection
• Quantum entanglement in condensed matter systems
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Fisher information and multiparticle entanglement
• Multipartite entanglement and high precision metrology
• Characterizing Entanglement
• Measuring multipartite entanglement via dynamic susceptibilities
• Quantum criticality and universal scaling of a quantum antiferromagnet
• Dynamics of Entanglement in One-Dimensional Spin Systems
• Multispinon continua at zero and finite temperature in a near-ideal Heisenberg chain
• Multipartite Entanglement Signature of Quantum Phase Transitions
• Crucial Role of Quantum Entanglement in Bulk Properties of Solids
• Covalent bonding and magnetism in cuprates
• Multipartite entanglement in topological quantum phases
• Divergence of the entanglement range in low dimensional quantum systems
• Witnessing quantum criticality and entanglement in the triangular antiferromagnet KYbSe${}_2$
• Witnessing entanglement in quantum magnets using neutron scattering
• Correlation functions of integrable models: a description of the ABACUS algorithm
• Triplet Waves in a Quantum Spin Liquid
• Quantifying and controlling entanglement in the quantum magnet Cs${}_2$CoCl${}_4$
• Absolute cross-section normalization of magnetic neutron scattering data
• Multipartite Entanglement at Finite Temperature
• Experimental realisation of multipartite entanglement via quantum Fisher information in a uniform antiferromagnetic quantum spin chain
• The magnetic dynamics of NiPS${}_3$
• Reconstructing the quantum critical fan of strongly correlated systems via quantum correlations
• A neutron scattering study of two-magnon states in the quantum magnet copper nitrate
• Quantum variance: a measure of quantum coherence and quantum correlations for many-body systems
• Multi-partite entanglement and quantum phase transition in the one-, two-, and three-dimensional transverse field Ising model
• Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
• Spin wave Hamiltonian and anomalous scattering in NiPS${}_3$
• Witnessing Light-Driven Entanglement using Time-Resolved Resonant Inelastic X-Ray Scattering
• Quantum Fisher Information and multipartite entanglement in spin-1 chains
• Magnetic excitations, non-classicality and quantum wake spin dynamics in the Hubbard chain
• Multipartite entanglement and quantum Fisher information in conformal field theories
• Reconstructing the spatial structure of quantum correlations in materials
• Witnessing Quantum Entanglement Using Resonant Inelastic X-ray Scattering

Cited by in corpus (4)

• Entanglement in the pseudogap regime of cuprate superconductors
• Stability of Floquet sidebands and quantum coherence in 1D strongly interacting spinless fermions
• Exploring entanglement in finite-size quantum systems with degenerate ground state
• Spinon excitations and spin correlations in the one-dimensional quantum magnet $\beta$-VOSO${}_4$ probed by Raman spectroscopy