Fast-forward scaling in a finite-dimensional Hilbert space

Abstract

Time evolution of quantum systems is accelerated by the fast-forward scaling. We reformulate the method to study systems in a finite-dimensional Hilbert space. For several simple systems, we explicitly construct the acceleration potential. We also use our formulation to accelerate the adiabatic dynamics. Applying the method to the transitionless quantum driving, we find that the fast-forward potential can be understood as a counterdiabatic term.

7 pages, 5 figures, revised

References in corpus (3)

• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• Shortcut to adiabaticity for an interacting Bose-Einstein condensate
• Fast optimal transition between two equilibrium states

Cited by in corpus (6)

• Fast forward of adiabatic control of tunneling states
• Fast-forward scaling of atom-molecule conversion in Bose-Einstein condensates
• Unitary deformations of counterdiabatic driving
• Fast-forward approach to adiabatic quantum dynamics of regular spin clusters: nature of geometry-dependent driving interactions
• Fast-forward scaling theory
• Fast-forward adiabatic quantum dynamics of XY spin model on three spin system