Quantum Information Dynamics of QED$_2$ in Expanding de Sitter Universe

Fuente: arXiv
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Main Authors: Ikeda, Kazuki, Oz, Yaron
Format: Preprint
Published: 2026
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_version_ 1866911564502663168
author Ikeda, Kazuki
Oz, Yaron
author_facet Ikeda, Kazuki
Oz, Yaron
contents We study QED$_2$ in de Sitter space as a minimal interacting gauge theory in which cosmological expansion directly competes with quantum dynamics. In cosmic time, the hopping redshifts as $1/a(t)$ while the electric term grows as $g^2 a(t)$, sweeping the spectrum through a moving narrow-gap region in the $(τ,m)$ plane. Exact diagonalization shows that this defines a pseudo-critical line governing the loss of adiabaticity, excitation growth, and redshifted response. Using matrix-product states at a fixed mass, we separate the fixed-cutoff thermodynamic limit from the continuum extrapolation. The late-time dip survives in the infinite physical box size limit, and shifts to later $τ$ as the lattice spacing goes to zero, with current data favoring $τ_* \approx 3.1$, while the dip depth remains less controlled. For Gibbs initial states, the same mechanism produces an irreversibility front in the relative entropy that tracks the pseudo-critical line and is detectable via LOCC-accessible observables. These results identify de Sitter QED$_2$ as a controlled setting for linking curved-space gauge dynamics, near-critical spectral structure, and operational irreversibility.
format Preprint
id arxiv_https___arxiv_org_abs_2604_02777
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Quantum Information Dynamics of QED$_2$ in Expanding de Sitter Universe
Ikeda, Kazuki
Oz, Yaron
High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Lattice
Nuclear Theory
Quantum Physics
We study QED$_2$ in de Sitter space as a minimal interacting gauge theory in which cosmological expansion directly competes with quantum dynamics. In cosmic time, the hopping redshifts as $1/a(t)$ while the electric term grows as $g^2 a(t)$, sweeping the spectrum through a moving narrow-gap region in the $(τ,m)$ plane. Exact diagonalization shows that this defines a pseudo-critical line governing the loss of adiabaticity, excitation growth, and redshifted response. Using matrix-product states at a fixed mass, we separate the fixed-cutoff thermodynamic limit from the continuum extrapolation. The late-time dip survives in the infinite physical box size limit, and shifts to later $τ$ as the lattice spacing goes to zero, with current data favoring $τ_* \approx 3.1$, while the dip depth remains less controlled. For Gibbs initial states, the same mechanism produces an irreversibility front in the relative entropy that tracks the pseudo-critical line and is detectable via LOCC-accessible observables. These results identify de Sitter QED$_2$ as a controlled setting for linking curved-space gauge dynamics, near-critical spectral structure, and operational irreversibility.
title Quantum Information Dynamics of QED$_2$ in Expanding de Sitter Universe
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Lattice
Nuclear Theory
Quantum Physics
url https://arxiv.org/abs/2604.02777