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• W3100775363 abstract "We solve the non-stationary Schrödinger equation for several time-dependent Hamiltonians, such as the BCS Hamiltonian with an interaction strength inversely proportional to time, periodically driven BCS and linearly driven inhomogeneous Dicke models as well as various multi-level Landau–Zener tunneling models. The latter are Demkov–Osherov, bow-tie, and generalized bow-tie models. We show that these Landau–Zener problems and their certain interacting many-body generalizations map to Gaudin magnets in a magnetic field. Moreover, we demonstrate that the time-dependent Schrödinger equation for the above models has a similar structure and is integrable with a similar technique as Knizhnik–Zamolodchikov equations. We also discuss applications of our results to the problem of molecular production in an atomic Fermi gas swept through a Feshbach resonance and to the evaluation of the Landau–Zener transition probabilities." @default.
• W3100775363 created "2020-11-23" @default.
• W3100775363 creator A5011018320 @default.
• W3100775363 date "2018-05-01" @default.
• W3100775363 modified "2023-09-27" @default.
• W3100775363 title "Integrable time-dependent Hamiltonians, solvable Landau–Zener models and Gaudin magnets" @default.
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• W3100775363 doi "https://doi.org/10.1016/j.aop.2018.01.017" @default.
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