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 …

In the course of a nonequilibrium continuous phase transition, the dynamics ceases to be
adiabatic in the vicinity of the critical point as a result of the critical slowing down (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 …

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 …

Different methods have been recently put forward and implemented experimentally to
inverse engineer the time-dependent Hamiltonian of a quantum system and accelerate slow …

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 …

A remarkably simple result is derived for the minimal time T min⁡ required to drive a general
initial state to a final target state by a Landau-Zener-type Hamiltonian or, equivalently, by …

We use the dynamical invariants associated with the Hamiltonian of an atom in a one
dimensional moving trap to inverse engineer the trap motion and perform fast atomic …

Geometric and holonomic quantum computation utilizes intrinsic geometric properties of
quantum-mechanical state spaces to realize quantum logic gates. Since both geometric …