6①.=0 Numerically exact solution to unbiased QRM:8=0 QHC et al,PRA82,052306(2010 Hamiltonian H 0 +aa+gla+ao Parity opertor i(aa+a:/2+1/2) [H,I]=0 The system is of even(+)or odd() parity n=0 n dn=土 The wavefunction is reduced to ∑。(-1"cnn) S-equation (m-g2-E+)m千∑ D C=0 mn n The level transition is only allowed between the even and odd parity E (千)0 x  = ( ) 2 H a a g a a   x z  + + = − + + +[ , ] 0 H  = ( + 2+1 2) +  = a a z i e   Parity opertor The system is of even (+) or odd (-) parity. dn=±cn The wavefunction is reduced to Hamiltonian S-equation The level transition is only allowed between the even and odd parity ( ) E  ( ) E 2 ( ) 0 ( ) 0 Ntr m mn n n m g E c D c  = − − =  0 0 ( 1) tr tr N n n A N n n n B c n c n  =  =   =      −     Numerically exact solution to unbiased QRM: ε=0 QHC et al, PRA 82, 052306(2010)