Information in quantum field theory simulators: Thin-film superfluid helium

Fuente: arXiv
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Main Authors: Jarema, Maciej T., Bunney, Cameron R. D., Barroso, Vitor S., Tajik, Mohammadamin, Goodwin, Chris, Weinfurtner, Silke
Format: Preprint
Published: 2025
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author Jarema, Maciej T.
Bunney, Cameron R. D.
Barroso, Vitor S.
Tajik, Mohammadamin
Goodwin, Chris
Weinfurtner, Silke
author_facet Jarema, Maciej T.
Bunney, Cameron R. D.
Barroso, Vitor S.
Tajik, Mohammadamin
Goodwin, Chris
Weinfurtner, Silke
contents Understanding quantum correlations through information-theoretic measures is fundamental to developments in quantum field theory, quantum information, and quantum many-body physics. A central feature in a plethora of systems is the area law, under which information scales with the size of the boundary of the system, rather than volume. Whilst many systems and regimes exhibiting an area law have been identified theoretically, experimental verification remains limited, particularly in continuous systems. We present a methodology for measuring mutual information in an experimental simulator of non-interacting quantum fields, and propose using the analogue $(2 + 1)$-dimensional spacetime offered by thin films of superfluid helium. We provide numerical predictions incorporating the natural thermal state of the helium sample that exemplify an area-law scaling of mutual information, and characterise deviations attributable to the inherent finite system size.
format Preprint
id arxiv_https___arxiv_org_abs_2508_07247
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Information in quantum field theory simulators: Thin-film superfluid helium
Jarema, Maciej T.
Bunney, Cameron R. D.
Barroso, Vitor S.
Tajik, Mohammadamin
Goodwin, Chris
Weinfurtner, Silke
Quantum Physics
General Relativity and Quantum Cosmology
Understanding quantum correlations through information-theoretic measures is fundamental to developments in quantum field theory, quantum information, and quantum many-body physics. A central feature in a plethora of systems is the area law, under which information scales with the size of the boundary of the system, rather than volume. Whilst many systems and regimes exhibiting an area law have been identified theoretically, experimental verification remains limited, particularly in continuous systems. We present a methodology for measuring mutual information in an experimental simulator of non-interacting quantum fields, and propose using the analogue $(2 + 1)$-dimensional spacetime offered by thin films of superfluid helium. We provide numerical predictions incorporating the natural thermal state of the helium sample that exemplify an area-law scaling of mutual information, and characterise deviations attributable to the inherent finite system size.
title Information in quantum field theory simulators: Thin-film superfluid helium
topic Quantum Physics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2508.07247