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

• URL: http://arxiv.org/abs/2604.02777v1
• Date: Fri, 03 Apr 2026 06:37:56 GMT
• Title: Quantum Information Dynamics of QED$_2$ in Expanding de Sitter Universe
• Abstract summary: We study QED$$ in de Sitter space as a minimal interacting gauge theory in which cosmological expansion directly competes with quantum dynamics.<n>In cosmic time, the hopping redshifts as $1/a(t)$ while the electric term grows as $g2 a(t)$, sweeping the spectrum through a moving narrow-gap region in the $(,m)$ plane.
• Score: 1.5899159309486681
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 $(τ,m)$ 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.

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