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Communications in Theoretical Physics

Nonlinear Interaction and Entanglement Transfer from SU(1,1) Coherent State to Mixed Atoms

Jin-Hua Zhang, Mai-Lin Liang, Yuan Bing, Fulin Zhang

Published Jan 1, 2008• 1 citation
Publisher

Abstract

For nonlinear interactions with different forms of intensity-dependent coupling, entanglement transfer from the correlated two-mode SU(1,1) coherent states (SCS) to the initially separable and mixed atoms is investigated. It is found that suitable intensity-dependent coupling can enhance the entanglement transfer and make the atomic entanglement evolve periodically especially for the initially mixed atomic states. For SCS, the entanglement between the two modes is strengthened with the increase of the photon number difference (PND) between the two modes of the fields. When PND is odd, the entanglement between the atoms is less than that when PND is even.

DOI
10.1088/0253-6102/49/1/18

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For nonlinear interactions with different forms of intensity-dependent coupling, entanglement transfer from the correlated two-mode SU(1,1) coherent states (SCS) to the initially separable and mixed atoms is investigated. It is found that suitable intensity-dependent coupling can enhance the entanglement transfer and make the atomic entanglement evolve periodically especially for the initially mixed atomic states. For SCS, the entanglement between the two modes is strengthened with the increase of the photon number difference (PND) between the two modes of the fields. When PND is odd, the entanglement between the atoms is less than that when PND is even.
The entanglement transfer from pair-coherent states to mixed atoms with different forms of intensity-dependent coupling is studied.It's found that suitable form of intensity-dependent coupling can enhance the entanglement transfer and makes it evolve periodically.Even for the mixed initial atomic states,the maximum value of entanglement and the periodical evolvement are kept.It's also shown that the photon number difference between the two modes plays a key role.When is odd,the maximum entanglement between the atoms is less than that when is even.
Under nonlinear interactions with different forms of intensity-dependent coupling (IDC), mixed moving atom entanglement transferred from the two-mode SU(2) coherent states (SUCS) is investigated. It is found that the atomic motion related to the field-mode structure parameter (FMSP) can make the atom entanglement evolve periodically, but can also destroy it severely. When the FMSP increases, the atoms are completely disentangled, irrespective of time and the initial atomic state without IDC. But under suitable forms of IDC, the atom entanglement not only revives, but also gets great enhancement and keeps the periodicity of its evolvement, even for the initially mixed atomic states. The maximum atom entanglement can be derived for proper values of the parameters of the SUCS.
为和联合的紧张依赖者的不同形式的非线性的相互作用,从相关的二模式的苏(1,1 ) 的纠纷转移到开始可分离、混合的原子的协调状态(SCS ) 被调查。联合的合适的紧张依赖者能提高纠纷转移并且让原子纠纷特别为开始混合的原子状态周期性地演变,这被发现。为 SCS,在二个模式之间的纠纷随这些域的二个模式之间的光子数字差别(PND ) 的增加被加强。当 PND 是奇怪的时,在原子之间的纠纷是不到那当 PND 是平的时。
In the process of a two-mode coherent state field interacting with an atom via intensity-dependent coupling,the evolution of entanglement between the atom and field or between the two-mode field is investigated by using quantum reduced entropy and relative entropy respectively.The results show that we can regulate the above mentioned two kinds of entanglement by choosing the system parameters of the initial state,or controlling the action time between the atom and field.The entanglement of the two-mode field will increase or decrease,but it's impossible to disentangle completely.We can get the EPR state and the separable state between the field and atom periodically in the high field conditions(the average photon number of the field is very large).
We consider a theoretical scheme for entanglement transfer between a two-mode squeezed vacuum field and two initially separable atoms through intensity-dependent couplings. We find that the entanglement transfer between the field and the atoms has an exact period for any given squeezing. We also find that the maximum achievable entanglement of the atomic subsystem is a simple increasing function of r . For sufficiently large squeezing parameter r , it is possible for the atoms to be entangled into a Bell state at half the periodic time points.
We study entanglement transfer from even and odd two-mode nonlinear coherent states to two separable qubits. The separable qubits are assumed to be in the following three states: both of the qubits are in the ground state, one qubit is in the ground state and the other is in a mixed state, and both of them are in a mixed state. The interaction between the field states and the system of qubits is considered under the Jaynes–Cummings model. We use negativity to evaluate the entanglement transfer to the system of qubits after interaction with the field states. The conditions for the production of the maximum amount of entanglement between qubits will be discussed. We observe that the maximum value of entanglement transfer is related to the interaction of odd nonlinear coherent states with the qubits when both of the latter are in the ground state.