Entanglement Witness for Indistinguishable Electrons using Solid-State Spectroscopy

• URL: http://arxiv.org/abs/2408.04876v1
• Date: Fri, 9 Aug 2024 05:46:05 GMT
• Title: Entanglement Witness for Indistinguishable Electrons using Solid-State Spectroscopy
• Authors: Tongtong Liu, Luogen Xu, Jiarui Liu, Yao Wang,
• Abstract summary: Characterizing entanglement in quantum materials is crucial for advancing next-generation quantum technologies. We introduce a method to extract various four-fermion correlations by analyzing the nonlinearity in resonant inelastic X-ray scattering (RIXS) spectra. We show how this entanglement witness can efficiently quantify multipartite entanglement across different phase regions, highlighting its advantage over quantum Fisher information (QFI)
• Score: 6.046809805810101
• License: http://creativecommons.org/licenses/by/4.0/
• 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 (RIXS) spectra. These correlations constitute the primary components of the cumulant two-particle reduced density matrix (RDM). 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 this entanglement witness can efficiently quantify multipartite entanglement across different phase regions, highlighting its advantage over quantum Fisher information (QFI).

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