Transition operator approach for the description of spontaneous decay in a multi-qubit system

TL;DR

This paper employs the transition operator method to theoretically analyze spontaneous decay and emission spectra in multi-qubit systems within a one-dimensional waveguide, providing detailed calculations for systems of one and two qubits.

Contribution

It introduces a transition operator approach for modeling spontaneous decay in multi-qubit waveguide systems, extending the analysis to N-qubits and detailed emission spectra.

Findings

Transition probabilities are calculated for multi-qubit systems.

Emission spectra are characterized for one and two-qubit cases.

The method provides a comprehensive framework for analyzing decay dynamics.

Abstract

In this paper we discuss the use of the transition operator method for the theoretical description of a multi-qubit system in a one-dimensional waveguide. A general calculation has been performed for the N-qubit system, which was then applied to the case of spontaneous decay for one and two qubits. The probabilities of transitions in such systems, as well as the emission spectra, are investigated in detail.