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

Abstract

The spectral and temporal response of a set of $N$ quantum emitters embedded in a photonic cavity is studied. Quantum mechanically, such systems can be described by the Tavis-Cummings (TC) model of $N$ two-level systems coupled to a single light mode. Here we compare the full quantum solution of the TC model for different numbers of quantum emitters with its semiclassical limit after a pulsed excitation of the cavity mode. Considering different pulse amplitudes, we find that the spectra obtained from the TC model approach the semiclassical one for an increasing number of emitters $N$. Furthermore they match very well for small pulse amplitudes. While we observe a very good agreement in the temporal dynamics for photon numbers much smaller than $N$, considerable deviations occur in the regime of photon numbers similar to or larger than $N$, which are linked to collapse and revival phenomena. Wigner functions of the light mode are calculated for different scenarios to analyze the quantum state of the light field. We find strong deviations from a coherent state even if the dynamics of the expectation values are still well described by the semiclassical limit. For higher pulse amplitudes Wigner functions similar to those of Schrödinger cat states between two or more quasi-coherent contributions build up.

accepted for publication in Physical Review B https://journals.aps.org/prb/

References in corpus (10)

• Ultrafast charging in a two-photon Dicke quantum battery
• Cavity quantum electrodynamics with color centers in diamond
• Incoherent Mollow triplet
• Coherent State Description of the Ground State in the Tavis-Cummings Model and its Quantum Phase Transitions
• Quantum corrections to the semiclassical collective dynamics in the Tavis-Cummings model
• Quantum condensation from a tailored exciton population in a microcavity
• Schrödinger cats in quantum-dot--cavity systems
• Four-wave mixing dynamics of a strongly coupled quantum-dot--microcavity system driven by up to 20 photons
• Collective enhancements in many-emitter phonon lasing
• Semiclassical modeling of coupled quantum dot-cavity systems: From polariton-like dynamics to Rabi oscillations