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We study the effect of the intermode coupling in the generation of coherencewhen two bosonic modes are bilinearly coupled. We consider the case for whichthe two modes are weakly coupled and the rotating-wave approximation (RWA)applies and the case for which they are strongly coupled and the (RWA) does notapply. Then, in the regime of validity of (RWA), there is no coherencegeneration solely due to squeezing effects, which means there is an exchange ofexcitation between the modes and negligible squeezing. On the other hand, ifthe two modes are strongly coupled coherence is generated by the squeezinginteraction. For the system of two bosonic modes weakly coupled with aMarkovian bath at temperature $T$ the coherence decreases with $T$. In general,when both kinds of couplings (exchange of excitation and squeezing) are turnedon the exchange of excitation contributes to generating more coherence incomparison with a purely squeezing coupling. Thus, the coherence decreases moreslowly with the temperature when both couplings are present. Finally, weexplore the case when only one of the two coupled modes interacts with aMarkovian bath while the other one remains free from the environment. Weobserve that the intermode coupling induces oscillations in the coherence andfidelity dynamics similar to the behavior for the coupling with a non-Markovianenvironment.

Coherence behavior of strongly coupled bosonic modes