Shortcuts to adiabaticity by superadiabatic iterations

TL;DR

This paper explores superadiabatic iterations as a method to create shortcuts to adiabaticity, enabling faster quantum processes with potential applications in atomic, molecular, and optical physics.

Contribution

It develops a general formalism for superadiabatic iterations and demonstrates their effectiveness through a two-level system example.

Findings

Superadiabatic iterations can produce effective shortcuts to adiabaticity.

The formalism applies broadly to quantum control problems.

Example shows improved speed and fidelity in population inversion.

Abstract

Different techniques to speed up quantum adiabatic processes are currently being explored for applications in atomic, molecular and optical physics, such as transport, cooling and expansions, wavepacket splitting, or internal state control. Here we examine the capabilities of superadiabatic iterations to produce a sequence of shortcuts to adiabaticity. The general formalism is worked out as well as examples for population inversion in a two-level system.