The reduced transition matrix in chaotic dual-unitary quantum circuits has low-rank structure with entropy growing at most logarithmically in time, enabling efficient approximation for local expectation values.
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The Nakajima-Zwanzig memory kernel belongs to the operator-valued Hardy space and obeys Kramers-Kronig relations under a real-axis spectral hypothesis, while effective kernels can show upper-half-plane poles from uncancelled zeros in the state transform.
Mixing time of Lindblad-governed open quantum systems is determined by the Liouvillian gap plus trace-norm factors of eigenmodes, yielding rapid mixing conditions via sparsity constraints on the Hamiltonian and local Lindblad operators.
Reaction coordinate mapping shows nonmonotonic current fluctuations and noise below the classical thermodynamic uncertainty bound in a strongly coupled driven qubit, tied to non-Gaussianity and coherence in the reaction coordinate.
Time evolution of genuine multipartite negativity in the open Kitaev quantum spin liquid shows persistence in loopy subregions in Markovian regime and at higher temperatures in non-Markovian regime.
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Low Rank Structure of the Reduced Transition Matrix
The reduced transition matrix in chaotic dual-unitary quantum circuits has low-rank structure with entropy growing at most logarithmically in time, enabling efficient approximation for local expectation values.
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Kramers-Kronig Relations and Causality in Non-Markovian Open Quantum Dynamics: Kernel, State, and Effective Kernel
The Nakajima-Zwanzig memory kernel belongs to the operator-valued Hardy space and obeys Kramers-Kronig relations under a real-axis spectral hypothesis, while effective kernels can show upper-half-plane poles from uncancelled zeros in the state transform.
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Universal Predictors for Mixing Time more than Liouvillian Gap
Mixing time of Lindblad-governed open quantum systems is determined by the Liouvillian gap plus trace-norm factors of eigenmodes, yielding rapid mixing conditions via sparsity constraints on the Hamiltonian and local Lindblad operators.
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Current fluctuations in nonequilibrium open quantum systems beyond weak coupling: a reaction coordinate approach
Reaction coordinate mapping shows nonmonotonic current fluctuations and noise below the classical thermodynamic uncertainty bound in a strongly coupled driven qubit, tied to non-Gaussianity and coherence in the reaction coordinate.
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Fate of entanglement in open quantum spin liquid: Time evolution of its genuine multipartite negativity upon sudden coupling to a dissipative bosonic environment
Time evolution of genuine multipartite negativity in the open Kitaev quantum spin liquid shows persistence in loopy subregions in Markovian regime and at higher temperatures in non-Markovian regime.