Non-Markovian quantum dynamics with complete positivity and non-signalling is characterized by an integro-differential equation augmenting the GKSL master equation with a memory integral, allowing description of systems with any integrable power spectral density and multi-time correlation evaluation
Manzano, A short introduction to the Lindblad master equation, AIP Advances 10, 025106 (2020)
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Effective non-Hermitian systems with interactions are incompatible with direct inclusion of anti-Hermitian terms in Matsubara Green's functions and are instead described by pseudo-Hermitian quantum mechanics.
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Completely-positive non-signalling non-Markovian dynamics
Non-Markovian quantum dynamics with complete positivity and non-signalling is characterized by an integro-differential equation augmenting the GKSL master equation with a memory integral, allowing description of systems with any integrable power spectral density and multi-time correlation evaluation
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Physical constraints on effective non-Hermitian systems
Effective non-Hermitian systems with interactions are incompatible with direct inclusion of anti-Hermitian terms in Matsubara Green's functions and are instead described by pseudo-Hermitian quantum mechanics.