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- W4387605989 abstract "Abstract The covariant derivative suitable for differentiating and parallel transporting tangent vectors and other geometric objects induced by a parameter-dependent adiabatic quantum eigenstate is introduced. It is proved to be covariant under gauge and coordinate transformations and compatible with the quantum geometric tensor. For a quantum system driven by a Hamiltonian $H=H(x)$ depending on slowly-varying parameters $x={x_1(epsilon t),x_2(epsilon t),ldots}$, $epsilonll 1$, the quantum covariant derivative is used to derive a recurrence relation that determines an asymptotic series for the wave function to all orders in $epsilon$. This adiabatic perturbation theory provides an efficient tool for calculating nonlinear response properties.
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- W4387605989 created "2023-10-14" @default.
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- W4387605989 date "2023-10-13" @default.
- W4387605989 modified "2023-10-14" @default.
- W4387605989 title "Quantum covariant derivative: a tool for deriving adiabatic perturbation theory to all orders" @default.
- W4387605989 doi "https://doi.org/10.1088/1751-8121/ad0349" @default.
- W4387605989 hasPublicationYear "2023" @default.
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