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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Displaced number states in the quantum Rabi model converge to the corresponding semiclassical dynamics in the joint limit of vanishing coupling and infinite displacement, with convergence slowing as the Fock number n increases.
Local quantum memory criteria applied via matrix product operator methods show that single-intervention process tensors generally predict quantum memory at low temperatures in spin-boson models, while dynamical maps detect it for resonant environments at short times.
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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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Convergence to semiclassicality in the quantum Rabi model
Displaced number states in the quantum Rabi model converge to the corresponding semiclassical dynamics in the joint limit of vanishing coupling and infinite displacement, with convergence slowing as the Fock number n increases.
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Verifying Quantum Memory in the Dynamics of Spin Boson Models
Local quantum memory criteria applied via matrix product operator methods show that single-intervention process tensors generally predict quantum memory at low temperatures in spin-boson models, while dynamical maps detect it for resonant environments at short times.