Rotation Approximation in QM Rotation Approximation in QM and Some Applications and Some Applications
Ruibao TaoRuibao Tao
Fudan UniversityFudan University
(2005-12-13/16)(2005-12-13/16)
S.Q. ShenBin ZhouY. TongLi Ren
I. Discribtion of method for multi-leval system:
Haniltonian becomes time independent :
Condition:
33
322
211
1
41
00
0
0
000
)(1
h
hh
hh
h
IH mrot
Eigenfunction:
)/exp(])((exp[)( 11
11 tiaatitb iij
i
ijjmj
9 adjustive parameters:
II. Samples of application:
1. Maximum entanglement in MNR
]111000[2
1000
time Nt ~0
)(4
1 )(()3( iti
iti
ikpulsekkkk eehH
Ek (k=1,2,3,4) are the eigenvalues of Hrot
2/111000
0|)(||)(|;|)(||)(| 22
201
23
200
iGHZ e
tctctctc
0)()()()(
)()()(
)2(
0
ttHttd totalD
Dg
For example: from |00> |00>:
0,0)(,0)(,0)( 332 DCCC
Thank you
