Abstract
The interacting of two qubits and an N-level atom based on su(2) Lie algebra in the presence of both qubit–qubit interaction and dissipation term is considered. The effects of the qubit–qubit interaction and the dissipation term on the dynamics of the proposed system are discussed in detail for certain values of the number of levels. The dynamical expressions of the observable operators are obtained using the Heisenberg equation of motion. The population inversion and linear entropy, as well as the concurrence formula as a measure of entanglement between the two qubits are calculated and discussed. The roles of the number of levels, the qubit–qubit coupling parameter and the dissipation rate on these quantities are also discussed. We explore the sudden birth and sudden death of the entanglement phenomena with and without the dissipation term.
Highlights
The interacting of two qubits and an N-level atom based on su(2) Lie algebra in the presence of both qubit–qubit interaction and dissipation term is considered
The phenomena of entanglement sudden death (ESD) and entanglement sudden birth (ESB) were found to depend on the kind of time-dependent coupling between the two a toms[23]
It is shown that the occurrence of sudden death and sudden birth phenomena can be controlled by the coupling phase parameter
Summary
An application of the su(2) algebraic system has been presented in[31,32] They examined the star network of spins, where all rotations interact exclusively and continuously with a central rotation through Heisenberg XX couplings of equal strength. K=1 where γ denotes the decay rate, J− , J+ denote the lowering and raising operators of the su(2) symmetry and satisfy the following commutation relation:. =i (S112J− − S211J+) + i (S122J− − S221J+), dS1k1 = − i dt (S1k2J− − S2k1J+) + R. k=1 where Cis a constant of motion. The general solution for the two-qubit is obtained by calculating the time evolution operator as follows,. Under the the analytical exact form orefstohneatnimceeceavsoelcuotniodnitoiopner(aδtz1o+r Uδ2z(=t)0is) and for space given by of the two qubits as. After obtained on the wave function (15) can be used to describe the evolution of some quantum quantifiers as: population inversion, linear entropy and concurrence
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
