Mean excitation numbers due to anti-rotating term (MENDART) in cavity   QED under Lindbladian dephasing
  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. 
A. V. Dodonov
quant-ph