Written by two of the world's leading researchers in the field, this is a systematic introduction
to the fundamental principles of coherent control, and to the underlying physics and …

1. INTRODUCTION Photoassociation, forming molecules from ultracold atoms using laser
light, is a prime example of coherent control: The process is complex and poses many …

We have created a dark quantum superposition state of a Rb Bose-Einstein condensate and
a degenerate gas of Rb 2 ground-state molecules in a specific rovibrational state using two …

The adiabatic approximation is an important concept in quantum mechanics. In linear
systems, the adiabatic condition is derived with the help of the instantaneous eigenvalues …

We investigate the effect of nonlinearity in a system described by an adiabatically evolving
Hamiltonian. Experiments are conducted in a three-core waveguide structure that is …

We propose the subwavelength localization via adiabatic passage (SLAP) technique to
coherently achieve state-selective patterning of matter waves well beyond the diffraction …

We investigate the nonlinear dynamics of a combined system which is composed of a cigar-
shaped Bose-Einstein condensate and an optical cavity with the two sides coupled …

Robust stimulated Raman exact passages are requisite for controlling nonlinear quantum
systems, with wide applications, ranging from ultracold molecules to nonlinear optics to …

We derive an exact and robust stimulated Raman process for nonlinear quantum systems
driven by pulsed external fields. The external fields are designed with closed-form …

We theoretically explore photoassociation by adiabatic passage of two colliding cold Rb 85
atoms in an atomic trap to form an ultracold Rb 2 molecule. We consider the incoherent …