Quantum Information Dynamics of QED$_2$ in Expanding de Sitter Universe
arXiv QuantumArchived Apr 06, 2026✓ Full text saved
arXiv:2604.02777v1 Announce Type: cross Abstract: 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 $(\tau,m)$ plane. Exact diagonalization shows that this defines a pseudo-critical line governing the loss of adiabaticity, excitation growth, an
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High Energy Physics - Theory
[Submitted on 3 Apr 2026]
Quantum Information Dynamics of QED_2 in Expanding de Sitter Universe
Kazuki Ikeda, Yaron Oz
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 (\tau,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 \tau as the lattice spacing goes to zero, with current data favoring \tau_* \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.
Comments: 23 pages, 3 figures
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Lattice (hep-lat); Nuclear Theory (nucl-th); Quantum Physics (quant-ph)
Cite as: arXiv:2604.02777 [hep-th]
(or arXiv:2604.02777v1 [hep-th] for this version)
https://doi.org/10.48550/arXiv.2604.02777
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Submission history
From: Kazuki Ikeda [view email]
[v1] Fri, 3 Apr 2026 06:37:56 UTC (302 KB)
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