In open quantum systems, environmental coupling turns deterministic Krylov phase-space trajectories into stochastic ones by adding diffusion, destroying the hyperbolic mechanism for exponential complexity growth beyond a controlled scale.
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Decoherence rate of an Unruh-DeWitt detector scales as a^{2Δ-1} in the long-time limit, increasing with the scaling dimension Δ of the coupled field and offering a more sensitive probe of the Unruh effect.
Holographic calculation of longitudinal and transverse diffusion coefficients for Brownian motion in a boosted AdS black brane, with verification of the fluctuation-dissipation theorem and expression of the coefficients via butterfly velocity.
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Stochastic Krylov Dynamics: Revisiting Operator Growth in Open Quantum Systems
In open quantum systems, environmental coupling turns deterministic Krylov phase-space trajectories into stochastic ones by adding diffusion, destroying the hyperbolic mechanism for exponential complexity growth beyond a controlled scale.
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Probing Unruh Effect from Enhanced Decoherence
Decoherence rate of an Unruh-DeWitt detector scales as a^{2Δ-1} in the long-time limit, increasing with the scaling dimension Δ of the coupled field and offering a more sensitive probe of the Unruh effect.
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Holographic Brownian dynamics of a heavy particle in a boosted thermal plasma background
Holographic calculation of longitudinal and transverse diffusion coefficients for Brownian motion in a boosted AdS black brane, with verification of the fluctuation-dissipation theorem and expression of the coefficients via butterfly velocity.