Entanglement-limited linear response in fermionic systems

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Hauptverfasser: Cheraghi, Hadi, Moghaddam, Ali G., Ojanen, Teemu
Format: Preprint
Veröffentlicht: 2025
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author Cheraghi, Hadi
Moghaddam, Ali G.
Ojanen, Teemu
author_facet Cheraghi, Hadi
Moghaddam, Ali G.
Ojanen, Teemu
contents We propose a general connection between entanglement-entropy scaling laws and the linear response functions of particle-conserving fermionic systems in their ground state. Specifically, we show that the response to perturbations coupled to the particle number within a finite region exhibits the same size scaling as the entanglement entropy of that region. We explicitly verify this scaling in free-fermion systems that display area-law, volume-law, and critical forms of entanglement. The resulting entanglement-governed scaling of response functions leads to unexpected physical consequences. For instance, contrary to conventional expectations, the energy absorption rate and particle-number fluctuations in gapped systems scale with the boundary of the perturbed region rather than with its volume. Our work thus establishes a direct link between linear-response properties and many-body entanglement.
format Preprint
id arxiv_https___arxiv_org_abs_2511_19415
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Entanglement-limited linear response in fermionic systems
Cheraghi, Hadi
Moghaddam, Ali G.
Ojanen, Teemu
Quantum Physics
Mesoscale and Nanoscale Physics
Statistical Mechanics
We propose a general connection between entanglement-entropy scaling laws and the linear response functions of particle-conserving fermionic systems in their ground state. Specifically, we show that the response to perturbations coupled to the particle number within a finite region exhibits the same size scaling as the entanglement entropy of that region. We explicitly verify this scaling in free-fermion systems that display area-law, volume-law, and critical forms of entanglement. The resulting entanglement-governed scaling of response functions leads to unexpected physical consequences. For instance, contrary to conventional expectations, the energy absorption rate and particle-number fluctuations in gapped systems scale with the boundary of the perturbed region rather than with its volume. Our work thus establishes a direct link between linear-response properties and many-body entanglement.
title Entanglement-limited linear response in fermionic systems
topic Quantum Physics
Mesoscale and Nanoscale Physics
Statistical Mechanics
url https://arxiv.org/abs/2511.19415