Quantum optimal control, a toolbox for devising and implementing the shapes of external
fields that accomplish given tasks in the operation of a quantum device in the best way …

Shortcuts to adiabaticity (STA) are fast routes to the final results of slow, adiabatic changes
of the controlling parameters of a system. The shortcuts are designed by a set of analytical …

One of the most widely known building blocks of modern physics is Heisenberg's
indeterminacy principle. Among the different statements of this fundamental property of the …

Quantum adiabatic processes—that keep constant the populations in the instantaneous
eigenbasis of a time-dependent Hamiltonian—are very useful to prepare and manipulate …

Achieving effectively adiabatic dynamics is a ubiquitous goal in almost all areas of quantum
physics. Here, we study the speed with which a quantum system can be driven when …

A shortcut to adiabaticity is a driving protocol that reproduces in a short time the same final
state that would result from an adiabatic, infinitely slow process. A powerful technique to …

We examine the stability versus different types of perturbations of recently proposed
shortcuts to adiabaticity to speed up the population inversion of a two-level quantum system …

We design, by invariant-based inverse engineering, resonant laser pulses to perform fast
population transfers in three-level systems. The laser intensities to improve the fidelity or to …

Transforming an initial quantum state into a target state through the fastest possible route—a
quantum brachistochrone—is a fundamental challenge for many technologies based on …

In this work, we put forward an approach of constructing the optimal composite pulse
sequence for robust population transfer in two-level systems. This approach is quite …