A new concept of geometric phase in parameter space: coupling as a parameter

作者:Xing Lei*
来源:Journal of Physics A: Mathematical and General , 2006, 39(30): 9547-9555.
DOI:10.1088/0305-4470/39/30/010

摘要

We have obtained the geometric phase of the tripartite spin-1/2 system with spin-spin coupling and discussed the influence of this coupling on the geometric phase. We have discovered the coupling-independent geometric phase and explained it. Based on this work, we propose the concept of quasimagnetic field and assimilate the coupling into the parameter space. By this theory, the relation between the geometric phase and the solid angle in parameter space still holds for a system with spin-spin coupling if the concept of the parameter is properly revised in the way we have elucidated.