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• W3105162259 abstract "Optimal truncations of asymptotic expansions are known to yield approximations to adiabatic quantum evolutions that are accurate up to exponentially small errors. In this paper, we rigorously determine the leading order non–adiabatic corrections to these approximations for a particular family of two–level analytic Hamiltonian functions. Our results capture the time development of the exponentially small transition that takes place between optimal states by means of a particular switching function. Our results confirm the physics predictions of Sir Michael Berry in the sense that the switching function for this family of Hamiltonians has the form that he argues is universal." @default.
• W3105162259 created "2020-11-23" @default.
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• W3105162259 date "2004-07-14" @default.
• W3105162259 modified "2023-09-25" @default.
• W3105162259 title "Time Development of Exponentially Small Non-Adiabatic Transitions" @default.
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• W3105162259 doi "https://doi.org/10.1007/s00220-004-1124-5" @default.
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