Coherence of Disordered Bosonic Gas with Two- and Three-Body Interactions**Supported by the National Natural Science Foundation of China under Grant Nos 11475027, 11274255 and 11305132, the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grand No 20136203110001, the Natural Science Foundation of Gansu Province under Grant No 1506RJYA131, and the Creation of Science and Technology

Abstract

We theoretically and numerically investigate the coherence of disordered bosonic gas with effective two- and three-body interactions within a two-site Bose–Hubbard model. By properly adjusting the two- and three-body interactions and the disorder, the coherence of the system exhibits new and interesting phenomena, including the resonance character of coherence against the disorder in the purely two- or three-body interactions system. More interestingly, the disorder and three-body interactions together can suppress the coherence of the purely three-body interactions system, which is different from the case in which the disorder and two-body interactions together can enhance the coherence in certain values of two-body interaction. Furthermore, when two- or three-body interactions are attractive or repulsive, the phase coherence exhibits completely different phenomena. In particular, if two- or three-body interactions are attractive, the coherence of the system can be significantly enhanced in certain regions. Correspondingly, the phase coherence of the system is strongly related to the effective interaction energy. The results provide a possible way for studying the coherence of bosonic gas with multi-atoms' interactions in the presence of the disorder.