Quantum vacuum properties of the intersubband cavity polariton field

We present a quantum description of a planar microcavity photon mode strongly coupled to a semiconductor intersubband transition in presence of a two-dimensional electron gas. We show that, in this kind of system, the vacuum Rabi frequency ${\ensuremath{\Omega}}_{R}$ can be a significant fraction of the intersubband transition frequency ${\ensuremath{\omega}}_{12}$. This regime of ultrastrong light-matter coupling is enhanced for long-wavelength transitions, because for a given doping density, effective mass and number of quantum wells, the ratio ${\ensuremath{\Omega}}_{R}∕{\ensuremath{\omega}}_{12}$ increases as the square root of the intersubband emission wavelength. We characterize the quantum properties of…