Hamiltonian Learning in Quantum Field Theories

Fuente: arXiv
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Autori principali: Ott, Robert, Zache, Torsten V., Prüfer, Maximilian, Erne, Sebastian, Tajik, Mohammadamin, Pichler, Hannes, Schmiedmayer, Jörg, Zoller, Peter
Natura: Preprint
Pubblicazione: 2024
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author Ott, Robert
Zache, Torsten V.
Prüfer, Maximilian
Erne, Sebastian
Tajik, Mohammadamin
Pichler, Hannes
Schmiedmayer, Jörg
Zoller, Peter
author_facet Ott, Robert
Zache, Torsten V.
Prüfer, Maximilian
Erne, Sebastian
Tajik, Mohammadamin
Pichler, Hannes
Schmiedmayer, Jörg
Zoller, Peter
contents We discuss Hamiltonian learning in quantum field theories as a protocol for systematically extracting the operator content and coupling constants of effective field theory Hamiltonians from experimental data. Learning the Hamiltonian for varying spatial measurement resolutions gives access to field theories at different energy scales, and allows to learn a flow of Hamiltonians reminiscent of the renormalization group. Our method, which we demonstrate in both theoretical studies and available data from a quantum gas experiment, promises new ways of addressing the emergence of quantum field theories in quantum simulation experiments.
format Preprint
id arxiv_https___arxiv_org_abs_2401_01308
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Hamiltonian Learning in Quantum Field Theories
Ott, Robert
Zache, Torsten V.
Prüfer, Maximilian
Erne, Sebastian
Tajik, Mohammadamin
Pichler, Hannes
Schmiedmayer, Jörg
Zoller, Peter
Quantum Gases
Quantum Physics
We discuss Hamiltonian learning in quantum field theories as a protocol for systematically extracting the operator content and coupling constants of effective field theory Hamiltonians from experimental data. Learning the Hamiltonian for varying spatial measurement resolutions gives access to field theories at different energy scales, and allows to learn a flow of Hamiltonians reminiscent of the renormalization group. Our method, which we demonstrate in both theoretical studies and available data from a quantum gas experiment, promises new ways of addressing the emergence of quantum field theories in quantum simulation experiments.
title Hamiltonian Learning in Quantum Field Theories
topic Quantum Gases
Quantum Physics
url https://arxiv.org/abs/2401.01308