Inverse engineering in quantum and classical systems via shortcut to adiabaticity

Abstract

Shortcut to adiabatic passage methods developed to circumvent the shortcomings of the usual adiabatic passage methods in quantum optics now finds immense applications in diverse areas of physics It finds its applications in quantum information science Bose Einstein condensates Ultra cold atoms non Hermitian systems and even in waveguide optics and biological systems In this thesis we have applied the so called transitionless quantum driving TQD and Lewis Riesenfeld Invariant LRI shor