Typical trace-distance relaxation concentrates around a mean in open quantum systems, producing typical mixing times separated from worst-case by rare-state bottlenecks that scale logarithmically, linearly, or exponentially depending on the slow modes.
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Bath memory reshapes transport patterns in the extended phase of the AAH transition but mainly renormalizes timescales in the localized phase.
In Markovian open quantum systems with bistability, noise-induced stochastic switching limits relaxation and follows an Arrhenius law with inverse system size as effective temperature, distinct from deterministic slow relaxation due to a small Liouvillian gap.
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Typical Mixing and Rare-State Bottlenecks in Open Quantum Systems
Typical trace-distance relaxation concentrates around a mean in open quantum systems, producing typical mixing times separated from worst-case by rare-state bottlenecks that scale logarithmically, linearly, or exponentially depending on the slow modes.
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Phase-dependent role of dissipation across the Aubry-Andr\'e-Harper transition
Bath memory reshapes transport patterns in the extended phase of the AAH transition but mainly renormalizes timescales in the localized phase.
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Switching Dynamics of Metastable Open Quantum Systems
In Markovian open quantum systems with bistability, noise-induced stochastic switching limits relaxation and follows an Arrhenius law with inverse system size as effective temperature, distinct from deterministic slow relaxation due to a small Liouvillian gap.