Related Experiment Video
Updated: Jun 27, 2026

Evolution of Staircase Structures in Diffusive Convection
Published on: September 5, 2018
On the consistency, extremal, and global properties of counterdiabatic fields
Mustafa Demirplak1, Stuart A Rice
1Department of Chemistry, Fatih University, Buyukcekmece, Istanbul 34500, Turkey. mdemirplak@fatih.edu.tr
Abstract:
The control of population transfer can be affected by the adiabatic evolution of a system under the influence of an applied field. If the field is too rapidly varying or too weak, the conditions for adiabatic transfer are not satisfactorily met. We report the results of an analysis of properties of counterdiabatic fields (CDFs) that restore the adiabatic dynamics of a system by suppressing diabatic effects as they are generated. We observe that a CDF is not unique and find the one that has minimum intensity, and we provide natural upper and lower bounds to the integrated intensity of a CDF in terms of integrals of the eigenvalues of the system Hamiltonian. For Hamiltonians that are separable with respect to their parameters, we prove that the time integral of an associated CDF is path independent. Finally we explain why and when, in the neighborhood of an avoided crossing, a CDF can be approximated by Lorentzian pulses.
Related Concept Videos
Magnetostatic Boundary Conditions
Second Uniqueness Theorem
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the surface...
Absolute and Local Extreme Values
Conservative Vector Fields
Divergence and Curl of Electric Field
Boundary Conditions for Current Density
