Continuous monitoring with jump operators forming a deformed unitary 1-design rigorously produces the Scrooge ensemble as the unique late-time equilibrium distribution of quantum trajectories for any target density matrix.
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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.
Eigenstates in interacting integrable models match random superpositions of polynomially many Gaussian states for entanglement and non-Gaussianity, while nonintegrable models match exponentially many.
EPU-invariant N-qudit states have k-qudit marginals close to mixtures of thermal (Gibbs) states, with explicit ~kd/N error bounds.
citing papers explorer
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Exact Hilbert-space ergodicity from continuous monitoring
Continuous monitoring with jump operators forming a deformed unitary 1-design rigorously produces the Scrooge ensemble as the unique late-time equilibrium distribution of quantum trajectories for any target density matrix.
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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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One-Body Purity, Non-Gaussianity, and Entanglement in Interacting Integrable Models
Eigenstates in interacting integrable models match random superpositions of polynomially many Gaussian states for entanglement and non-Gaussianity, while nonintegrable models match exponentially many.
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Symmetry-driven thermalization via finite de Finetti theorems
EPU-invariant N-qudit states have k-qudit marginals close to mixtures of thermal (Gibbs) states, with explicit ~kd/N error bounds.