  In this letter, a nonlocal effect for a bipartite system which is induced by
a local cyclic evolution of one of its subsystem is suggested. This effect
vanishes when the system is at a disentangled pure state but can be observed
for some disentangled mixed states. As a paradigm, we study the effect for the
system of two qubits in detail. It is interesting that the effect is directly
related to the degree of entanglement for pure state of qubit pairs.
Furthermore, we suggest a Bell-type experiment to measure this nonlocal effect
for qubit pairs.
