Exact WKB is used to compute geometric and higher-order exponential factors for twisted and nonlinear Landau-Zener transitions, including a predicted phantom transition without a level crossing.
An elementary proof of the Voros connection formula for WKB solutions to the Airy equation with a large parameter
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abstract
The Voros connection formula for WKB solutions to the Airy equation with a large parameter is proved by using cubic equations. Some parts of the results are generalized to the Pearcey system, which is a two-variable version of the Airy equation, is given.
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Exact WKB analysis for dynamical and geometric exponents in generalized and nonlinear Landau-Zener transitions
Exact WKB is used to compute geometric and higher-order exponential factors for twisted and nonlinear Landau-Zener transitions, including a predicted phantom transition without a level crossing.