; Qiu, Taotao
; Zhang, Xinmin] Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China
; [Brandenberger, Robert] McGill Univ, Dept Phys, Montreal, PQ H3A 2T8, Canada
; [Brandenberger, Robert] Kavli Inst Theoret Phys, Beijing 100080, Peoples R China
; [Piao, Yun-Song] Chinese Acad Sci, Grad Sch, Coll Phys Sci, Beijing 100049, Peoples R China
; [Zhang, Xinmin] Chinese Acad Sci, Theoret Phys Ctr Sci Facilit, Beijing, Peoples R China
A quintom universe with an equation of state crossing the cosmological constant boundary can provide a bouncing solution dubbed the quintom bounce and thus resolve the big bang singularity. In this paper, we investigate the cosmological perturbations of the quintom bounce both analytically and numerically. We find that the fluctuations in the dominant mode in the post-bounce expanding phase couple to the growing mode of the perturbations in the pre-bounce contracting phase.