双参数形变谐振子奇偶相干态的高阶压缩特性.pdf

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5、) ,(13) a, |;= (coth, (d )m |a; , a, |L = (tanh, (aE)ta l e , (ze,.( - z) anh,.(z) - ee(z ) e )7 , e,(z ) + e,.( - z) coth, (z) = e, (z) - e, ( - z) qs , s , I M| ,( M = 2F h n = 13 ,3,- ) , : | = Fl J (coth5)U Z|; , ( M = 2F Z+ 1, n = 0, 1,2, - ) , (E EP ( 2 Jel h, -J U n L J | e 4 12 = , N; ()NL()

6、 (14) (15) , , 16 ( 17) t u n,. ! . |;= N; ()sinh, (aL) | , , | ;= N; ()cosh, (aaL) |0, . (18) (1 ; a |;= N; ( ) N;,( )sinh, ( 5, ; aF|;= N; ( aq N; ( a )eo-haF ) , ( ) (22) (22) e |a; , (23) (2 A ) (25) (26) (ZF 1 2 at |a; - - 3 qs , , qs , S U 1 = ( f+ : )/2. z u2 = i( f- at )/2,(29) qs M , ,U I “

7、 = i d ,4 M /2,(30) A$ 81As d Ii | af |2(31) - I at , af = 1,2,) ,2) qs M . = rete , (27) ,(28) , ; |As ei-2| - ; a l |; (;( M = 2F Z, n = 13 ,3,- ) - T E M( * cod MO+ tk J2) , ( M = 2n + 1, n ; |Awi 2|; - ; | af |;= (:( M = 2F B, n = 1,2,3,- ) , ( 3 4 ) r 2M (COGM O+t a n h qer ,( M=2 n+1 . n=0, 1

8、, 2 , -). (33) (34) , qs ( M ) . q = s z 1 , othr2 1tmz hr2 1, ; ( M ) , C 082MO+ taz r2 0 , ( M ) . qs oth J l ( Math.r2 1) . 1- 4 q s , tank -J ooth,rZ rz( ) . , q s , tanh -rZcothq srz r2 1, 1, , . , : 11 6 1 (J| ,(M =2 n h 1 , ), a aM (tanhJ aa )“ 1 , (M = 2,B+1,n = 0,1,2,- ). (28) - (33) = 0,1,

9、2,- ) , =O m=Z 1t62 ( 0 = O L = 2 17 r) ( F F Z=0,1,2, ) ,= 1, rZ 1( trZ 1) , qs LM f rz . 2.0 1 5 0.5 o-o 10 ltmh,rz (sz0.4) 10 3 00, r2 rZ (s=0.4)4 coth, r2 (q=0.4) 1 2 , q s , rz , tanh,r2 1, q 1 s . (34) , . 3 4 ,q s , r2 , eod1 ,rz 1, q 1 s , (33) qs , . q 1 ,s . , 1 3 2 4 , q s rz , q, , , qs

10、. n , “ (HE P&N P) 4. 5 7 j 0.5 o-o 20 F a 3040 2 tanh, r2 (q=0.4) 1020 ra 3040 3040 1 2 4 qs , qs ( M ) , q s . , qs , , . q s , qs rZ , q 1 s . , q . , ( q = s = 1) , ( s = 1, q# 1) 7 1. -. , . , q s . , . , Bid enham L C . J . P hys 1989, An :1 873 SUN C P, FU H C . J. P hy- -, 1989, An zu m ch i

11、cMur M, mm.D, kdh h p. phy- - Re, . u ts. . B 990. 6 1 9O Que me C . phy- Iatt., 1991, AE g 1 303 E tuang L M, Waz F B . P hy- k tt. , 1 993, A2731 221 m u co -Xu. Acta O p6ea S Ei , 1 999, “ :441(m chine-e) ( . ,1 999. :441) WANGa o-Qi Acta phyaea strdca, “ 1, “ :690(in C him e- ) (E . ,. ,2 1,- 1

12、690) sehdmC he r A, we- J, Z- , B . Z. phy-, 1 “ 1, c, :317 JANG F B , E E IJ ANe L M. 1. F h7. (A) , 1 993, 26:293 S u A. J. phys. (A) , 1990, :ISq7 chdmhzUR, 1 mathm R. J. F , ., 1 991, AM zL711 ZHOIj Hum-Oiang, HE Jim pS O , n fANGXin-Mi HidE Energ mw esmd h el-z phy, , 1 995, “ :251(in q im ( ,

13、, . ,199“ “ :1) 2 , 1 4 5 6 7 8 9 10 11 12 13CE E N Ch e Yuan, UIJ YO - -Wen- High Energy m y-m and Nuelee physic- , 1, 252193(m chine-e) ( , . “ ,m 1, 2193) “ 11 63 2 41 a (E “ HidE er Power Squeezing Properties for Odd and Even Two-Parameter ( B, , ,a m - -s e f Apptm& P , m , Um d eema y qr h eed

14、 -a. D “ 257061, ma) Abe actU e hid zep od er powem of squeezing pmperti d light Seld for odd and even two-pa- mmeter deformed-coherent sta have been studied , and the numerical method is used to investigate the id tB enee of the two parametem ( q and s ) on the pmpeE ti u e mS UIts show that dE e o

15、dd and the even qs-dd om ed coherent statm cm exMbit odd nun er powem of squeen ng but no even num- ber powem d squeen ng egects. 1ese pmperties am digerent fmm thoee d the states of the conven- tionai no-deformed light h ld . E ese egects cm h shown in a number d intew als aItemately when r2, which

16、 renects the intensity d the lid lt Eeld in two-parameter deformed cohemnt state,is changed . When the two pammetem q and s am taken cez tain values and r2 is taken value in a cer- tain intez val , the laE er of pammeter q which deviated hom 1 and d1e smaller of parameter s , the inteE Vals of the u

17、nusual propedies become laz F E - ITm relevant mSUIts of the even and odd q-coher- ent states am contained in mom general conclusion of this paper special case . Key words lidu aeld, tw pamm ter defom ed coherent state, higher power squmm g pmperty Rec4 4 ved 16 Apd12ml 1)E-m Uzm ,- md .h .du-m Coherent States zhong-Qingl) WANG

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