Mean excitation numbers due to anti-rotating term (MENDART) in cavity QED under Lindbladian dephasing

TL;DR

This paper analytically investigates how anti-rotating terms and Lindblad dephasing in cavity QED lead to photon generation, showing that the average photon number grows linearly over time.

Contribution

It derives simple differential equations and formulas for photon number moments, providing analytical insight into photon generation mechanisms in cavity QED with dephasing.

Findings

Photon number increases linearly with time asymptotically.

Derived explicit formulas for moments of the photon number operator.

Provided analytical understanding of anti-rotating term effects in cavity QED.

Abstract

We study the photon generation from arbitrary initial state in cavity QED due to the combined action of the anti-rotating term present in the Rabi Hamiltonian and Lindblad-type dephasing. We obtain a simple set of differential equations describing this process and deduce useful formulae for the moments of the photon number operator, demonstrating analytically that the average photon number increases linearly with time in the asymptotic limit.