Shortcuts to adiabaticity: fast-forward approach

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.

7 pages, 3 figures

References in corpus (15)

• Shortcut to adiabatic passage in two and three level atoms
• Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
• High-fidelity quantum driving
• Faster than Hermitian Quantum Mechanics
• Lewis-Riesenfeld invariants and transitionless tracking algorithm
• Fast atomic transport without vibrational heating
• Shortcut to adiabaticity for an interacting Bose-Einstein condensate
• Fast optimal transition between two equilibrium states
• Optimal trajectories for efficient atomic transport without final excitation
• Transient energy excitation in shortcuts to adiabaticity for the time dependent harmonic oscillator
• Optimal quantum control of Bose Einstein condensates in magnetic microtraps
• Optimal transport of ultracold atoms in the non-adiabatic regime
• Optimizing number squeezing when splitting a mesoscopic condensate
• Fast transitionless expansions of cold atoms in optical Gaussian beam traps
• Testing quantum adiabaticity with quench echo

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