6=-6…6 The optimum fitted parameters of the experimental results ln=515m4g/2z=082GHa,/2z=8.13G1△/h=425GH △A2+(2nc) h sib=△/hm=A△2+(2ln,)2 BI 75 Qubit >10 10 由-0.5x10三 Φ小-0.5X10 8 photon (1-E0 Two-photo 6|81263GHz2 (E2-EoMh (3-50 sideband -(3-E,h 20 6 10 10 ΦΦ-0 Φ/Φ--0.5 X10 u The theoretical results are in good agreement with the experimental observations
The optimum fitted parameters of the experimental results □ The theoretical results are in good agreement with the experimental observations 6 6 x = − 2 2 2 2 515 2 0.82 2 8.13 / 4.25 (2 ) sin (2 ) p r q p x q p x I nA g GHz GHz h GHz I I = = = = = + = = +
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)
First application to the entanglement dynamics PHYSICAL REVIEW A 82. 052306(2010) Entanglement dynamics of two independent Jaynes-Cummings atoms without the rotating-wave approximation Qing-Hu Chen. 1. 2 Yuan Yang, I Tao Liu, 3 and Ke-Lin Wang I Center for Statistical and Theoretical Condensed Matter Physics, Zhejiang Normal University, Jinhua 321004, P.R. China 2 Department of Physics, Zhejiang University, Hangzhou 310027, P.R. china 3Department of Physics, Southwest University of Science and Technology, Mianyang 621010, P.R. China Department of Modern Physics, University of Science and Technology of China, Hefei 230026, P.R. China (Received 25 August 2010: published 10 November 2010) d Entanglement: highly nonlocal- shared among pairs of atoms photons, electrons, etc Atom A Atom B they may be remotely located and not interacting with each other Cavity a Cavity b u Entanglement as a resource in Yu and Eberly new approaches to both sym Science 2009 computation and communication Sudden Fig. 1. Curves show ESD as one of two routes for relaxation of the entanglement, via concurrence Clp), of qubits A and B that are located in separate overdamped cavitie
□ Entanglement : highly nonlocal— shared among pairs of atoms, photons, electrons, etc., they may be remotely located and not interacting with each other. □ Entanglement as a resource in new approaches to both computation and communication Yu and Eberly Science 2009 First application to the entanglement dynamics
CAB in two identical JC atoms without RWa (a Bell state 1 for a=n/4 Initiated from Bell state 1, ESD appear in b)Bell state 2 for a=n/12 non-RWA; disappear in RWA O No periodicity of entanglement evolution for large g 0. 500 Gtπ 200 0 10 20Gtπ 0 500 10 Gtπ 200 0 20Gtπ
CAB in two identical JC atoms without RWA (a) Bell state 1 for α=π/4 (b) Bell state 2 for α=π/12 □ Initiated from Bell state 1, ESD appear in non-RWA; disappear in RWA □ No periodicity of entanglement evolution for large g
Effect of photonic number on ESD 9°92=0001 35 92=1 0.8 25 0.6 CAB and N opposite behavior 0.2 05 2468 Gt/ Gtr 日 Nh suppress CaB Bell state 1 吗吗2∞01( 马21(的 0.8 ii! 06:; 0.2 Possible origin of esd Gtz Gt/T Bell state 2
Effect of photonic number on ESD Bell state 1 Bell state 2 □ CAB and Nph opposite behavior □ Nph suppress CAB Possible origin of ESD