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