Detecting Multipartite Entanglement Patterns Using Single-Particle Green’s Functions

Malla, Rajesh K.; Weichselbaum, Andreas; Wei, Tzu-Chieh; Konik, Robert M.

doi:10.1103/physrevlett.133.260202

Detecting Multipartite Entanglement Patterns Using Single-Particle Green’s Functions

Journal Article · Tue Dec 31 00:00:00 EST 2024 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.133.260202· OSTI ID:2510443

^[1]; Weichselbaum, Andreas ^[1]; Wei, Tzu-Chieh ^[2]; ^[1]

Brookhaven National Laboratory (BNL), Upton, NY (United States)
State Univ. of New York (SUNY), Stony Brook, NY (United States)

Here, we present a protocol for detecting multipartite entanglement in itinerant many-body electronic systems using single-particle Green’s functions. To achieve this, we first establish a connection between the quantum Fisher information and single-particle Green’s functions by constructing a set of witness operators built out of single electron creation and destruction operators in a doubled system. This set of witness operators is indexed by a momentum k. We compute the quantum Fisher information for these witness operators and show that for thermal ensembles it can be expressed as an autoconvolution of the single-particle spectral function. We then apply our framework to a one-dimensional fermionic system to showcase its effectiveness in detecting entanglement in itinerant electron models. We observe that the detected entanglement level is sensitive to the wave vector associated with witness operator. Our protocol will permit detecting entanglement in many-body systems using scanning tunneling microscopy and angle-resolved photoemission spectroscopy, two spectroscopies that measure the single-particle Green’s function. It offers the prospect of the experimental detection of entanglement through spectroscopies beyond the established route of measuring the dynamical spin response.

View Accepted Manuscript (DOE)

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0012704

OSTI ID:: 2510443

Report Number(s):: BNL--227550-2025-JAAM

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 26 Vol. 133; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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