Shortcuts to adiabaticity in the double well

TL;DR

This paper explores shortcuts to adiabaticity in double well potentials, enabling faster quantum state manipulations with applications in matter-wave control, beam splitting, and quantum gas management.

Contribution

It demonstrates the application of various shortcut techniques to the double well potential, enhancing speed and efficiency in quantum processes.

Findings

Successful implementation of shortcuts in matter-wave splitting

Improved speed in population inversion processes

Enhanced control in waveguide and gas manipulation

Abstract

Shortcuts to adiabaticity are alternative fast processes that reproduce the same final populations, or even the same final state, as the adiabatic process in a finite, shorter time. Many of the existing approaches to design shortcuts, and even new ones have been used throughout this Thesis in the double well potential. These techniques have allowed us to obtain a great benefit in processes as varied as matter-wave splitting, multiplexing/ demultiplexing, beam splitters, cotunneling, population inversion, waveguide optimization, Tonks-Girardeau gas manipulation and bias inversion.