Dynamical Localization: Hydrogen Atoms in Magnetic and Microwave fields

TL;DR

This paper demonstrates that excited hydrogen atoms in magnetic and microwave fields exhibit dynamical localization at low microwave frequencies, with localization length estimates indicating a significant reduction in quantum delocalization border, enabling experimental studies.

Contribution

It reveals the occurrence of dynamical localization in hydrogen atoms under combined magnetic and microwave fields at low frequencies, providing new insights and experimental possibilities.

Findings

Localization occurs at microwave frequencies much lower than the Kepler frequency.

Localization length varies with different parameters, showing a reduced delocalization border.

The results suggest broad experimental opportunities for observing quantum localization phenomena.

Abstract

We show that dynamical localization for excited hydrogen atoms in magnetic and microwave fields takes place at quite low microwave frequency much lower than the Kepler frequency. The estimates of localization length are given for different parameter regimes, showing that the quantum delocalization border drops significantly as compared to the case of zero magnetic field. This opens up broad possibilities for laboratory investigations.