Chinese Physics B

Shui-Ying, Xie; Ji, Lin

doi: 10.1088/1674-1056/19/5/050201pmid: N/A

We investigate the one-dimensional nonlinear Schrödinger equation with a perturbation of polynomial type. The approximate symmetries and approximate symmetry reduction equations are obtained with the approximate symmetry perturbation theory.

You-Fa, Wang; Sen-Yue, Lou; Xian-Min, Qian

doi: 10.1088/1674-1056/19/5/050202pmid: N/A

According to the conjecture based on some known facts of integrable models, a new (2+1)-dimensional supersymmetric integrable bilinear system is proposed. The model is not only the extension of the known (2+1)-dimensional negative KadomtsevPetviashvili equation but also the extension of the known (1+1)-dimensional supersymmetric Boussinesq equation. The infinite dimensional KacMoodyVirasoro symmetries and the related symmetry reductions of the model are obtained. Furthermore, the traveling wave solutions including soliton solutions are explicitly presented.

Lan-Fang, Shi; Jia-Qi, Mo

doi: 10.1088/1674-1056/19/5/050203pmid: N/A

This paper considers a class of boundary value problems for the semilinear singularly perturbed fractional differential equation. Under the suitable conditions, first, the outer solution of the original problem is obtained; secondly, using the stretched variable and the composing expansion method the boundary layer is constructed; finally, using the theory of differential inequalities the asymptotic behaviour of solution for the problem is studied and the uniformly valid asymptotic estimation is discussed.

Hang-Yu, Ruan

doi: 10.1088/1674-1056/19/5/050204pmid: N/A

Through analysing the exact solution of some nonlinear models, the role of the variable separating method in solving nonlinear equations is discussed. We find that rich solution structures of some special fields of these equations come from the nonzero seed solution. However, these nonzero seed solutions is likely to result in the divergent phenomena for the other field component of the same equation. The convergence and the signification of all field components should be discussed when someone solves the nonlinear equation using the variable separating method.

Han-Shuang, Chen; Zhong-Huai, Hou; Ji-Qian, Zhang; Hou-Wen, Xin

doi: 10.1088/1674-1056/19/5/050205pmid: N/A

We study evolutionary prisoner's dilemma game on adaptive networks where a population of players co-evolves with their interaction networks. During the co-evolution process, interacted players with opposite strategies either rewire the link between them with probability p or update their strategies with probability 1 p depending on their payoffs. Numerical simulation shows that the final network is either split into some disconnected communities whose players share the same strategy within each community or forms a single connected network in which all nodes are in the same strategy. Interestingly, the density of cooperators in the final state can be maximised in an intermediate range of p via the competition between time scale of the network dynamics and that of the node dynamics. Finally, the mean-field analysis helps to understand the results of numerical simulation. Our results may provide some insight into understanding the emergence of cooperation in the real situation where the individuals' behaviour and their relationship adaptively co-evolve.

Feng-Xiang, Mei; Hui-Bin, Wu

doi: 10.1088/1674-1056/19/5/050301pmid: N/A

A form invariance and a conserved quantity of the generalised Birkhoffian system are studied. First, a definition and a criterion of the form invariance are given. Secondly, through the form invariance, a new conserved quantity can be deduced. Finally, an example is given to illustrate the application of the result.

Tao, Chen; Yan-Xia, Huang; Chuan-Jia, Shan; Jin-Xing, Li; Ji-Bing, Liu; Tang-Kun, Liu

doi: 10.1088/1674-1056/19/5/050302pmid: N/A

This paper investigates the entanglement evolution of a two-qubit anisotropic Heisenberg XYZ chain in the presence of DzyaloshinskiiMoriya interaction. The time evolution of the concurrence is studied for the initial pure entangled states cos |00 + sin |11 and cos |01 + sin |10 at zero temperature. The influences of DzyaloshinskiiMoriya interaction D, anisotropic parameter and environment coupling strength on entanglement evolution are analysed in detail. It is found that the effect of noisy environment obviously suppresses the entanglement evolution, and the DzyaloshinskiiMoriya interaction D acts on the time evolution of entanglement only when the initial state is cos |01 + sin |10. Finally, a formula of steady state concurrence is obtained, and it is shown that the stable concurrence, which is independent of different initial states and DzyaloshinskiiMoriya interaction D, depends on the anisotropic parameter and the environment coupling strength .

Hong-Yi, Fan

doi: 10.1088/1674-1056/19/5/050303pmid: N/A

By introducing the s-parameterized generalized Wigner operator into phase-space quantum mechanics we invent the technique of integration within s-ordered product of operators (which considers normally ordered, antinormally ordered and Weyl ordered product of operators as its special cases). The s-ordered operator expansion (denoted by ) formula of density operators is derived, which is .The s-parameterized quantization scheme is thus completely established.

Shi-Rong, Chen; Yun-Jie, Xia; Zhong-Xiao, Man

doi: 10.1088/1674-1056/19/5/050304pmid: N/A

In this paper, we study the quantum phase transition and the effect of impurity on the thermal entanglement between any two lattices in three-qubit Heisenberg XX chain in a uniform magnetic field. We show that the quantum phase transition always appears when impurity parameter is an arbitrary constant and unequal to zero, the external magnetic field and impurity parameters have a great effect on it. Also, there exists a relation between the quantum phase transition and the entanglement. By modulating the temperature, magnetic field and the impurity parameters, the entanglement between any two lattices can exhibit platform-like behaviour, which can be used to realize entanglement switch.

Xue-Yuan, Hu; Ying, Gu; Qi-Huang, Gong; Guang-Can, Guo

doi: 10.1088/1674-1056/19/5/050305pmid: N/A

We demonstrate that the n-partite continuous-variable entanglement can be unconditionally prepared among n parties that share no common past, from n two-mode squeezed states. Both GHZ-like and cluster-like states can be generated for any nonzero squeezing in the entangled sources. An application of the resulting multipartite entangled state to a teleportation network is illustrated.