Dynamical and Spectral Properties of the Coherent State Jaynes-Cumming Model.

Marcelo A. Marchiolli

Saima Bashir, Mehboob Rashid, Rayees A Malla +1 more

We investigate the influence of phonon degrees of freedom on the qubit dynamics in Jaynes-Cummings (JC) model. A strong qubit-phonon coupling is considered giving rise to Jaynes-Cummings-Holstein (JCH) model. Under anti-adiabatic conditions, we perform a unitary transformation to make the underlying problem tractable through Redfield-type non-Markovian master equation. Analytical expression for the time-dependent coherence is obtained, incorporating both cavity-induced dissipation and phonon-induced dressing effects. The dynamics of JC model is highly non-Markovian for a narrow spectral width and finite detuning. However, a non-zero phonon coupling suppresses these non-Markovian features by effectively reducing the qubit-cavity interaction strength. {It is observed that polaronic dressing effectively supresses the detuning effects. Furthermore, the coherence-based non-Markovianity measure shows an order-of-magnitude suppression in the JCH model, indicating a new dynamical regime, while memory effects extend over a wider range of spectral densities than in the JC model.

J. J. Sánchez-Mondragón, Joseph H. Eberly

Nikolett Német, A. S. Parkins, Victor Canela +1 more

We investigate the coherence and steady-state properties of the Jaynes-Cummings model subjected to time-delayed coherent feedback in the regime of multiple excitations. The introduced feedback qualitatively modifies the dynamical response and steady-state quantum properties of the system by enforcing a non-Markovian evolution. This leads to recovered collapses and revivals as well as non-equilibrium steady states when the two-level system (TLS) is directly driven by a laser. The latter are characterized by narrowed spectral linewidth and diverging correlation functions that are robust against the time delay and feedback phase choices. These effects are also demonstrated in experimentally accessible quantities such as the power spectrum and the second-order correlation function $g^{(2)}(τ)$ in standard and widely available photon-detection setups.

Vladimír Bužek, Tran Quang

YX Huang, Y Wang, Zhan Zhan

The properties of state evolution of the atom, field, and atom-field systems in the intensity-dependent coupling Jaynes-Cummings Model with an additional Kerr medium are investigated by using the distance between density operators. The effects of nonlinearity interaction of Kerr medium and the average photon number of initial coherent field on the dynamical behaviour of the quantum system are discussed in comparison with the one-photon Jaynes-Cummings model with an additional Kerr medium.