text: *Fk*(*t*)*Fl*(*t*′) 
  (cid:11) 
  *kl*δ(*t*
  *kl*δ(*t*
  *kl*δ(*t*
  *kl*δ(*t*
  *kl*δ(*t*
  *t*′) +*D*(1) 
  *kl*δ(*t*
  − 
  *t*′ + τ) +*D*(3) 
  *kl*δ(*t*
  − 
  *t*′ + τ +*T*) +*D*(5) 
  *kl*δ(*t*
  − 
  *t*′ + 2τ +*T*) +*D*(7) 
  *kl*δ(*t*
  *t*′ +*T*), 
  
  τ)  *t*′ 
  − 
  τ  *t*′  *T*) 
  −  − 
  2τ  *t*′  *T*) 
  
  − 
  *t*′  − 
  *T*) 
  −  − 
  (7) 
  − 
  
  where*D*(*i*) 
  fusion coeﬃcients. 
  
  By the standard way [25], we can get the Heisenberg- 
  Langevin equations of the motion for the single-atom and 
  ﬁled operators. By introducing the macroscopic atomic oper- 
  ator,*M*(*t*) = 
  *aa*(*t*),*Nb*(*t*) = 
  *j*Γ*j*(*t*)σ*j*
  *bb*(*t*), the dynamic equations for the ﬁeld and macro- 