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Local and Non-local Entanglement Witnesses of Fermi Liquid

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arxiv 2502.13958 v1 pith:TUCZJQ2L submitted 2025-02-19 cond-mat.str-el

Yiming Wang , Yuan Fang , Fang Xie , Qimiao Si This is my paper
classification cond-mat.str-el
keywords entanglementfermiliquidquantumdepthfisherinformationlocal
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There is a growing interest both in utilizing entanglement means to characterize many-body systems and in uncovering their entanglement depth. Motivated by recent findings that the spin quantum Fisher information witnesses amplified multipartite entanglement of strange metals and characterizes their loss of quasiparticles, we study the quantum Fisher information in various cases of Fermi liquid. We show that local operators generically do not witness any multipartite entanglement in a Fermi liquid, but non-local many-body operators do. Our results point to novel experimental means to detect the entanglement depth of metallic fermionic systems and, in general, open a new avenue to the emerging exploration of entanglement in quantum materials.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Exploring Many-Body Quantum Geometry Beyond the Quantum Metric with Correlation Functions: A Time-Dependent Perspective

    cond-mat.mes-hall 2025-07 accept novelty 7.0 of 10

    The Bures distance between an initial and a time-evolved density matrix defines a time-dependent quantum metric and connection, extending many-body quantum geometry beyond the quantum metric to higher-order correlatio...

  2. Density Matrix Geometry and Sum Rules

    cond-mat.mes-hall 2025-07 conditional novelty 6.0 of 10

    A time-dependent density-matrix quantum geometric tensor provides a generating function that recovers known finite-temperature sum rules and yields new ones, including a finite-temperature magnetic circular dichroism rule.

  3. Quantum Fisher information of magnetic quantum phase transition on Kondo lattice

    cond-mat.str-el 2026-07 conditional novelty 5.0 of 10

    In the Kondo-destroyed antiferromagnetic phase of a Kondo lattice, quantum Fisher information from transverse spin fluctuations witnesses multipartite entanglement while the longitudinal channel stays trivial; the eff...

  4. Fractal structure of multipartite entanglement in monitored quantum circuits

    quant-ph 2025-11 conditional novelty 5.0 of 10

    In monitored Clifford circuits, the largest entangled cluster has an approximate fractal spatial structure whose box-counting dimension equals the entanglement-depth growth exponent away from the critical point.

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