In this paper, a set of master equations of a cold atom-molecule system including the manipulation of an external rotating magnetic field and laser signal under a mean-field approximation was developed. We discovered that external manipulation can be characterized by a single regulating term. After considering the realizability and necessity of the regulating term for system manipulation, we separated the molecule preparation procedure into three stages: the phase transforming, descending and stable stages. In each stage, the regulating term’s qualities were analyzed. Further, we discovered that, under certain situations, this system cannot enter the pure molecular state in a stable manner, regardless of whether it is regulated or not. Finally, an approach was proposed for the rapid preparation of cold molecules.
Achieving dynamic manipulation and control of single molecules at high spatio-temporal resolution is pivotal for advancing atomic-scale computing and nanorobotics. However, this endeavour is critically challenged by complex nature of atomic and molecular interactions, high-dimensional characteristics of nanoscale systems, and scarcity of experimental data. Here, we present a toy model for controlling single-molecule diffusion by harnessing electrostatic forces arising from elementary surface charges within a lattice structure, mimicking embedded charges on a surface. We investigate the interplay between quantum mechanics and electrostatic interactions in single molecule diffusion processes using a combination of state-dependent diffusion equations and Green's functions. We find that surface charge density critically influences diffusion coefficients, exhibiting linear scaling akin to Coulombic forces. We achieve accurate predictions of experimental diffusion constants and extending the observed range to values reaching up to 6000
μm2ms−1 and 80000
μm2ms−1. The molecular trajectories predicted by our model bear resemblance to planetary motion, particularly in their gravity-assisted acceleration-like behaviour. It holds transformative implications for nanorobotics, motion control at the nanoscale, and computing applications, particularly in the areas of molecular and quantum computing where the trapping of atoms and molecules is essential. Beyond the state-of-the-art optical lattice and scanning tunnelling microscopy for atomic/molecular manipulation, our findings give unambiguous advantage of precise control over single-molecule dynamics through quantum manipulation at the angstrom scale.