“…In this paper, we will use the term collective atomic recoil lasing (CARL) as a general label for collective instabilities that involve simultaneous growth of optical fields and atomic density modulations with periods on the scale of the optical wavelength, although it should be noted that the literature on this topic contains a number of other names for related effects, including, e.g., recoil-induced resonance, superradiant Rayleigh scattering (SRS) and optomechanics. Since the initial theoretical studies of CARL [1,2], numerous theoretical and experimental studies have been performed on related phenomena involving optical forces and cold atoms, e.g., instabilities involving self-organisation , collective cooling [24][25][26], optomechanical transverse pattern formation [27][28][29][30][31][32] and quantum simulation [33][34][35]. Experiments have involved a variety of atomic media, e.g., both thermal [8][9][10][11] and degenerate gases [3,7,12,17,20,23,[33][34][35], and a diverse range of configurations, including optical cavities consisting of multiple mirrors [8,9,11,20,23,[33][34][35][36], single mirror feedback [31] and mirrorless configurations [3,7,…”