Two Qubits in Thermostat
摘要
The quantum dynamics of two dipole-dipole coupled two-level emitters interacting via their environmental thermostat is investigated. Using collective two-atom Dicke states for the case when dipole-dipole interactions are strong, but less than the transition frequency, we derived the corresponding markovian master equation characterizing the steady-state system’s behaviors. It takes into account the dependence of the spontaneous decay rates as well as of the mean photon numbers (which we get by tracing the reservoir), at respective two-qubit transitions, on the dipole-dipole coupling strength. As a consequence, we have obtained the cooperative populations as well as the fluorescence spectrum of the dipole-dipole coupled two-qubit sample interacting with the environmental thermostat. The ratios of the populations on adjacent transitions differ from the Boltzmann distribution since depend on the dipole-dipole interaction among the qubit’s pair. As well, the fluorescence spectrum in the far-field limit consisting of two spectral lines which are distinguished if the dipole-dipole coupling is larger than the collective spontaneous decay rates, respectively. Finaly, the dependence on the dipole-dipole interactions arise because the symmetrical and anti-symmetrical collective two- qubit states are shifted from the single-qubit resonance frequency by the dipole-dipole coupling strength. Hence their dependence on the sign of the dipole-dipole interaction.