Parameter dependent system: H(n) 41(2,|w(2)}1() Adiabatic theorem: ()=v(()ee Geometric phase d (vn in y4  , |     n n ( ) ( )  ( ) ( ( )) ( ) 0 / | | t n n i dt i t n t t e e     −  −   =  0 t n n n d i         =   Geometric phase: Adiabatic theorem: Parameter dependent system: H ( )    n ( ) 