Adiabatic theorems with and without spectral gap condition for non-semisimple spectral values

DOI10.1142/9789814618144_0031zbMath1339.81044arXiv1401.0089OpenAlexW2963244234MaRDI QIDQ2813582

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Publication date: 24 June 2016

Published in: Mathematical Results in Quantum Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.0089

zbMATH Keywords

time-dependent domainsadiabatic theorems with and without spectral gap conditionnot necessarily (weakly) semisimple spectral values

Mathematics Subject Classification ID

Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

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Weakly nonlinear time-adiabatic theory ⋮ The adiabatic theorem and linear response theory for extended quantum systems ⋮ Adiabatic transitions in a two-level system coupled to a free Boson reservoir ⋮ A nonlinear quantum adiabatic approximation ⋮ Landauer's principle in repeated interaction systems ⋮ Adiabatic theorems for general linear operators with time-independent domains ⋮ Adiabatic Lindbladian evolution with small dissipators

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