Emission spectra and intrinsic optical bistability in a two-level medium

Abstract

Abstract. Scattering of resonant radiation in a dense two-level medium is studied theoretically with account for local field effects and renormalization of the resonance frequency. Intrinsic optical bistability is viewed as switching between different spectral patterns of fluorescent light controlled by the incident field strength. Response spectra are calculated analytically for the entire hysteresis loop of atomic excitation. The equations to describe the non-linear interaction of an atomic ensemble with light are derived from the Bogolubov-Born-Green-Kirkwood-Yvon hierarchy for reduced single particle density matrices of atoms and quantized field modes and their correlation operators. The spectral power of scattered light with separated coherent and incoherent constituents is obtained straightforwardly within the hierarchy. The formula obtained for emission spectra can be used to distinguish between possible mechanisms suggested to produce intrinsic bistability in experiments.

Using BBGKY hierarchies to study the effect of the local field on the rate of radiative relaxation of quantum systems in a dielectric medium

“…Using this chain, we manage to obtain the expression for the local field acting on the atom self-consistently from the initial Hamiltonian. The included terms also affect the optical properties of the system, such as the radiation and absorption spectra [17], but considering the last problem is beyond the scope of this paper.…”

Применение Цепочек ББГКИ Для Исследования Влияния Локального Поля На Скорость Радиационной Релаксации Квантовых Систем В Диэлектрической Среде

“…Из этой новой цепочки нам удалось самосогласованно получить выражение для локального поля, действующего на атом, из начального гамильтониана. Учтенные слагаемые также будут влиять и на оптические свойства системы такие, как спектр излучения и спектр поглощения [17], однако рассмотрение последнего вопроса выходит за рамки настоящей статьи.…”

Spontaneous transitions to enhanced fluorescence for GeV centers in a single microcrystalline diamond

“…In this report we propose a theoretical explanation based on the possibility for a cooperative ensemble of emitting centres to show intrinsic cooperative optical multistability [4]. It is shown that the Maxwell-Bloch type equations describing such a system [5], even in the presence of large values of the phase relaxation rate, retain the possibility of having several stable steady state solutions that form a multistable optical response for certain combinations of the pump power and concentration of the emitters. A numerical analysis has shown that the transition time may exceed the lifetime by an order of magnitude.…”