Quantifying and controlling entanglement in the quantum magnet Cs${}_2$CoCl${}_4$

Abstract

The lack of methods to experimentally detect and quantify entanglement in quantum matter impedes our ability to identify materials hosting highly entangled phases, such as quantum spin liquids. We thus investigate the feasibility of using inelastic neutron scattering (INS) to implement a model-independent measurement protocol for entanglement based on three entanglement witnesses: one-tangle, two-tangle, and quantum Fisher information (QFI). We perform high-resolution INS measurements on Cs${}_2$CoCl${}_4$, a close realization of the $S=1/2$ transverse-field XXZ spin chain, where we can control entanglement using the magnetic field, and compare with density-matrix renormalization group calculations for validation. The three witnesses allow us to infer entanglement properties and make deductions about the quantum state in the material. We find QFI to be a particularly robust experimental probe of entanglement, whereas the one- and two-tangles require more careful analysis. Our results lay the foundation for a general entanglement detection protocol for quantum spin systems.

Main text: 7 pages, 4 figures. Supplementary Information: 15 pages, 15 figures

References in corpus (15)

• Entanglement detection
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Fisher Information and entanglement of non-Gaussian spin states
• Fractional excitations in the square-lattice quantum antiferromagnet
• Quantum dynamics and entanglement of spins on a square lattice
• Multipartite entanglement in topological quantum phases
• Divergence of the entanglement range in low dimensional quantum systems
• Spectral Functions with the Density Matrix Renormalization Group: Krylov-space Approach for Correction Vectors
• Witnessing entanglement in quantum magnets using neutron scattering
• Experimental realisation of multipartite entanglement via quantum Fisher information in a uniform antiferromagnetic quantum spin chain
• Enhancement of pairwise entanglement from $\mathbbm{Z}_2$ symmetry breaking
• Magnetic quantum correlation in the 1D transverse-field XXZ model
• Low-temperature ordered phases of the spin-$\frac{1}{2}$ XXZ chain system Cs${}_2$CoCl${}_4$
• The gap exponent of XXZ model in a transverse field
• Revealing divergent length scales using quantum Fisher information in the Kitaev honeycomb model

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