Cavity losses for the dissipative Jaynes–Cummings Hamiltonian beyond rotating wave approximation

Abstract

Abstract. A microscopic derivation of the master equation for the Jaynes-Cummings model with cavity losses is given, taking into account the terms in the dissipator which vary with frequencies of the order of the vacuum Rabi frequency. Our approach allows to single out physical contexts wherein the usual phenomenological dissipator turns out to be fully justified and constitutes an extension of our previous analysis [Scala M. et al. 2007 Phys. Rev. A 75, 013811], where a microscopic derivation was given in the framework of the Rotating Wave Approximation.

Thermodynamic fingerprints of non-Markovianity in a system of coupled superconducting qubits

“…(A19) is in Lindblad form with respect to the local operators σ ± of the TQ, it contains all the rotating terms with respect to the nonlocal operators (A11)-(A14). It is noteworthy to mention that a similar statement is presented in [49] for a different but somewhat related physical model, that is, the dissipative Jaynes-Cummings model. Accordingly, one may approximate Eq.…”

Dissipation and detection of polaritons in the ultrastrong-coupling regime

“…For simplicity, we also presume a similar situation concerning the coupling with an excitonic reservoir. Whereas the Hermitian expressions have been presumed for describing the dissipation in some works [24,28,39,40], Eq. (7) can be considered as the standard expression, because there is no ambiguity as to whether the system-reservoir coupling is electric or magnetic.…”

“…As pointed out in some papers [34,[39][40][41][42][43], the master equation should be derived by considering the eigenstates of the relevant system, and the rotating-wave approximation (RWA) should be performed carefully on the system-reservoir coupling even if the system-reservoir coupling is weak compared to the light-matter coupling (in the strong light-matter coupling regime). In the ultrastrong coupling regime, such treatment has been performed by Beaudoin, Gambetta, and Blais [24].…”

“…g.s.|, and the reservoirs are presumed to be in the vacuum state. The time development is calculated by master equation (34), correlation (40), and memory kernel (41). Parameters: ω x = ω c , g = ω c , D = g 2 /ω x , c = x = 10 −2 ω c , and cutoff c = cutoff x = 10 3 ω c .…”

Non-Markovian Dynamics of Cavity Losses

“…In general, the coupling with an environment gives rise to dissipation and decoherence phenomena 3 , which can strongly affect the dynamics of the quantum system under study. In previous papers 4, 5 we derived a master equation for an atom-cavity system which takes into account from the very beginning a coupling between the atom and the cavity described by the Jaynes-Cummings (JC) model 6 . The approach followed in Refs.…”