# Rabi-Bloch Oscillations in Spatially Distributed Systems: Temporal Dynamics and Frequency Spectra

## TL;DR

This paper models and analyzes the complex interplay of Rabi and Bloch oscillations in a quantum chain driven by combined dc and ac fields, revealing multi-line spectra and novel oscillatory behaviors without relying on the rotating wave approximation.

## Contribution

It introduces a generalized quantum dynamic model for coupled two-level systems under strong fields, capturing interactions between Rabi and Bloch oscillations beyond traditional approximations.

## Key findings

- Oscillatory dynamics combining Rabi and Bloch oscillations.
- Multi-line spectra at combined Rabi and Bloch frequencies.
- Distinct behavior due to strong field interactions.

## Abstract

We considered one-dimensional chain of the two-level quantum systems coupled via tunneling. The chain is driven by the superposition of dc and ac fields in the strong coupling regime. Based on the fundamental principles of electrodynamics and quantum theory, we developed a generalized model of quantum dynamics for such interactions, free of rotating wave approximation (RWA). The system of motion equations was studied numerically. We analyzed the dynamics and spectra of inversion density, dipole current density and tunneling current density. In the case of resonant interaction with ac-component the particle dynamics exhibits itself in the oscillatory regime, which may be interpreted as a combination of Rabi- and Bloch oscillations with their strong mutual influence. Such scenario for an obliquely incident ac field dramatically differs from the individual picture both types of oscillations due to an interactions. This novel effect is counterintuitive because of the strongly different frequency ranges for such two types of oscillations existence. This dynamics manifests itself in multi-line spectra at different combinations of Rabi- and Bloch frequencies. The effect is promising as a framework of new type of spectroscopy in nanoelectronics and electrical control of nano-devices.

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Source: https://tomesphere.com/paper/1706.01032