Semiclassical modeling of coupled quantum-dot–cavity systems: From polaritonlike dynamics to Rabi oscillations

Comparison of the semiclassical and quantum optical field dynamics in a pulse-excited optical cavity with a finite number of quantum emitters

“…Depending on the system parameters, the counter rotating terms can have an influence on the ground state of the system [36,37] or its dynamics [38][39][40]. For the parameters studied here, however, the RWA can be assumed to be well justified, as is also confirmed by our calculations within the semiclassical model [21].…”

“…As has been seen in the semiclassical case in Ref. [21], for a pulse which is shorter than the characteristic time scale of the dynamics, the excitation can be very well approximated by taking the excited cavity mode as an initial condition and disregarding the details of the injection process. We will follow this scheme also here.…”

“…While structures with many emitters are often treated in terms of a semiclassical model, in which the emitters are described by quantum mechanical few-level systems interacting with a classical electromagnetic field [19][20][21], a single emitter in a cavity is usually described in terms of quantum optics by the Jaynes-Cummings (JC) model [22][23][24]. Such a quantum optical treatment is necessary because of the strong correlations between the quantum states of the emitter and the photon field inside the cavity.…”

“…In a previous study we have performed semiclassical simulations of a planar ensemble of QEs, modeled as two-level systems (TLSs), in a one-dimensional photonic cavity driven by a short external laser pulse coupled in through one of the mirrors [21]. We have shown that there exists a sharp transition in this semiclassical undamped model, associated with characteristic changes in the spectrum of the light field when varying the pulse amplitudes.…”

“…Here we will rely on the assumption of an ensemble with identical frequencies, which is further motivated by our finding in Ref. [21] that the general features observed when moving from the low-excitation to the high-excitation regime are preserved also for a QE ensemble of non-vanishing width.…”