This paper is organized as follows. First, in Sec. 2.1, we provide a brief overview of the exact factorization method. Next, in Sec. 2.2, we describe the CT-TSH algorithm. We then present the implementation details of CT-TSH for multidimensional systems in Sec. 3, followed by the computational details in Sec. 4. In Sec. 5, we present the results of our study of the photoisomerization dynamics of TAB upon nπ * and ππ * excitation. We conclude our paper with a summary of our findings in Sec. 6.