Shortcuts to adiabaticity: fast-forward approach

TL;DR

This paper refines the fast-forward approach for quantum adiabatic dynamics, linking it to inverse engineering and exploring applications like wave splitting, enabling faster quantum control protocols.

Contribution

It presents a simplified formalism for the fast-forward approach and connects it with Lewis-Riesenfeld invariants, expanding its applicability.

Findings

Streamlined formalism for fast-forward approach

Connection established with Lewis-Riesenfeld invariants

Potential applications in wave splitting processes

Abstract

The "fast-forward" approach by Masuda and Nakamura generates driving potentials to accelerate slow quantum adiabatic dynamics. First we present a streamlined version of the formalism that produces the main results in a few steps. Then we show the connection between this approach and inverse engineering based on Lewis-Riesenfeld invariants. We identify in this manner applications in which the engineered potential does not depend on the initial state. Finally we discuss more general applications exemplified by wave splitting processes.