Entanglement Witness for Indistinguishable Electrons using Solid-State Spectroscopy (2)
ORAL
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. In Part 1, we introduce a method to extract cumulant two-particle reduced density matrix (RDM) from resonant inelastic X-ray scattering (RIXS) spectra. In Part 2, we focus on the theoretical bounds in these eigenvalues of CRDM and demonstrate the linear scaling with fermionic entanglement depth, providing a reliable witness for entanglement. In addition, we discuss multipartite entanglement in systems of indistinguishable particles, and 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 (QFI).
*This work is supported by the U.S. Department of Energy, Office of Science, Basic Energy Sciences, under Early Career Award No. DE-SC0024524. The simulation used resources of the National Energy Research Scientific Computing Center, a U.S. Department of Energy Office of Science User Facility located at Lawrence Berkeley National Laboratory, operated under Contract No. DE-AC02- 05CH11231 using NERSC award BES-ERCAP0027096.
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Publication: Liu, T., Xu, L., Liu, J., & Wang, Y. (2024). Entanglement Witness for Indistinguishable Electrons using Solid-State Spectroscopy. arXiv. https://doi.org/10.48550/arXiv.2408.04876
Presenters
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Tongtong Liu
- Massachusetts Institute of Technology, Emory University