Quantization of the classical bistable-potential Mpemba effect shifts anomalous relaxation to ultra-cold temperatures and produces inverse and double-inverse Mpemba effects absent in classical dynamics.
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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.
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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Quantization of the classical Mpemba effect
Quantization of the classical bistable-potential Mpemba effect shifts anomalous relaxation to ultra-cold temperatures and produces inverse and double-inverse Mpemba effects absent in classical dynamics.
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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.