Quantum droplets in a dipolar Bose gas at a dimensional crossover

Abstract We study the beyond-mean-field corrections to energy of a dipolar Bose gas confined two dimensions by box potential with dipoles oriented in plane such that their interaction is anisotropic unconfined dimensions. At critical strength system becomes unstable on mean field level. find ground state strongly influenced corrections, leading formation self-bound droplet, analogy free space case. Properties droplet can be found minimizing extended Gross–Pitaevskii functional. In limit strong confinement we show analytically correction interpreted as an effective three-body repulsion which stabilizes at finite density.