Fig. 2: Illustration of the operation of a polariton dyad lattice under varying pump conditions.

a, b Depiction of excitation of a lattice of dyads of geometry, schematically shown in Fig. 1a, b, in the absence (a) and in the presence (b) of control signals. The panels show time-integrated spatial distribution of the polariton density. Regions with densities higher than the range covered by the color scale are indicated in white. c The profiles of the nonresonant pump spots (main color scheme), the trapping potential profile for isolating dyads (white) and the control beam profiles (blue) for toggling dyads between ON and OFF states. The indices (i) to (xii) enumerate neurons in (a, b). d The dependence of distinguishability, \(\Delta \widetilde{I}\), of the OFF and ON signals on the intensities of the pump pulses for condensates in dyads, \({P}_{10}\), and intensities of signal pulses, \({P}_{20}\). Values of \(\Delta \widetilde{I}\le 0\) are colored in black. Pulse durations are taken as \({w}_{\tau 1}=5\,{\rm{ps}}\) and \({w}_{\tau 2}=8\,{\rm{ps}}\), respectively. Definition of the distinguishability, \(\Delta \widetilde{I}\), is given in the text. Star markers enumerated from 1 to 17 indicate maximal \(\Delta \widetilde{I}\) at given \({P}_{10}\). The red star indicates the parameters used for a and b. e Variation of the relative intensity of output signals, \(\bar{I}\), in each neuron from (i) to (xii) at the pump intensities \(({P}_{10},\,{P}_{20})\) corresponding to points \(j=1,\,2,\,...17\) in (d). In (iv), the dependence should be multiplied by 2.5. Each dot corresponds to a separate numerical experiment, in which positions of the pump pulses, that excite condensates in dyads across the lattice, deviate randomly from their owing positions in the range of distances from \(-\delta\) to \(+\delta\). Dots of different colors correspond to different deviations \(\delta\). Gray lines used as references indicate the average of the minimal relative intensity of the neuron in the ON state and the maximal relative intensity of the neuron in the OFF state in the absence of deviations of the pump pulses