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Relationship between the wave function of a magnet and its static structure factor

Quintanilla, Jorge (2022) Relationship between the wave function of a magnet and its static structure factor. Physical Review B: Condensed Matter and Materials Physics, 106 . Article Number 104435. ISSN 0163-1829. (doi:10.1103/PhysRevB.106.104435) (KAR id:93112)


We state and prove two theorems about the ground state of magnetic systems described by very general Heisenberg-type models and discuss their implications for magnetic neutron scattering. The first theorem states that two models cannot have the same correlator without sharing the corresponding ground states. According to the second theorem, an N-qubit wave function cannot reproduce the correlators of a given system unless it represents a true ground state of that system. We discuss the implications for neutron scattering inverse problems. We argue that the first theorem provides a framework to understand neutron-based Hamiltonian learning. Furthermore, we propose a variational approach to quantum magnets based on the second theorem where a representation of the wave function (held, for instance, in a neural network or in the qubit register of a quantum processor) is optimised to fit experimental neutron-scattering data directly, without the involvement of a model Hamiltonian.

Item Type: Article
DOI/Identification number: 10.1103/PhysRevB.106.104435
Additional information: Articles citing this work as of 4 October 2022: Bruno Murta and J. Fernández-Rossier, Phys. Rev. E 105, L062101 (2022)
Uncontrolled keywords: quantum magnets, heisenberg model, neutron scattering, condensed matter theory, condensed matter physics, machine learning, quantum computing, variational principles
Subjects: Q Science > QC Physics > QC176 Solid state physics
Q Science > QC Physics > QC174.12 Quantum theory
Divisions: Divisions > Division of Natural Sciences > Physics and Astronomy
Funders: University of Kent (
Depositing User: Jorge Quintanilla Tizon
Date Deposited: 08 Feb 2022 10:52 UTC
Last Modified: 20 Mar 2023 18:30 UTC
Resource URI: (The current URI for this page, for reference purposes)

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