Abstract.We have considered a system of equidistant polaritonic states, interacting with an electromagnetic field of a localized THz cavity mode. An accumulation of photons in a THz cavity mode together with bosonic stimulation of the transition between polariton levels induces intensive radiative scattering of polaritons. The concept of double bosonic stimulation of a radiative transition in a bosonic cascade laser (BCL) is formulated, and the possibility of the use of a BCL for the emission of THz radiation is investigated. The system demonstrates threshold-like behaviour and, above threshold, cascade radiative transitions of polaritons which leads to an increase of quantum efficiency, which can exceed unity. The interaction of polaritons with a reservoir leads to an increase in the threshold pumping rate and a decrease of quantum efficiency.
IntroductionThe creation of an efficient solid-state emitter of THz radiation remains important task of the modern physics and technology [1]. Recently, several designs of polaritonic THz emitter, based on semiconductor microcavities, were proposed, where the rate of spontaneous emission for THz photons can be additionally increased by bosonic stimulation if a radiative transition occurs into a condensate state of bosons [2][3][4][5]. Interaction of THz photons and polaritons is a subject of intensive experimental studies [6][7][8][9][10]. Proposed polaritonic emitters, however, have a serious disadvantage: since each polariton (which has energy of the order of 1eV) can produce only one THz photon (with energy about 10 meV) most of the pumped energy is lost and the efficiency of the device remains small. The quantum (and power) efficiency of the proposed device can be increased if the polariton is made to emit several identical THz photons. A similar effect for electrons in superlattices [11] is used in the modern quantum cascade laser [12,13]. A system of equidistant polariton levels can be implemented if the exciton is quantized in a parabolic potential [14][15]. In the case of parabolic quantum wells, the transitions between equidistant electron levels (intersubband transition) manifests itself as peak in absorption and luminescence of TM-polarized light (pronounced even at room temperature), and the spectral position of the peak corresponds to intervals separating electron quantization levels. Recently, the system of equidistant states of bosons was considered and a bosonic cascade laser (BCL) was proposed. The BCL demonstrates a range of intriguing properties, such as nontrivial paritydependent effects and a quantization of the occupations of different excitonic modes [16].The aim of this paper is to develop further the theory of BCL and investigate double bosonic stimulation of THz emission in BCL: in the presence of the cavity for THz radiation, the rate of transitions between bosonic levels goes up with an increase of both the population of bosonic states and the THz mode. Quantitative analysis is presented for the set of parameters, characterizing a realistic pol...