Chinese Physics B

Huan-Ping, Zhang; Biao, Li; Yong, Chen; Fei, Huang

doi: 10.1088/1674-1056/19/2/020201pmid: N/A

By means of the reductive perturbation method, three types of generalized (2+1)-dimensional KadomtsevPetviashvili (KP) equations are derived from the baroclinic potential vorticity (BPV) equation, including the modified KP (mKP) equation, standard KP equation and cylindrical KP (cKP) equation. Then some solutions of generalized cKP and KP equations with certain conditions are given directly and a relationship between the generalized mKP equation and the mKP equation is established by the symmetry group direct method proposed by Lou et al. From the relationship and the solutions of the mKP equation, some solutions of the generalized mKP equation can be obtained. Furthermore, some approximate solutions of the baroclinic potential vorticity equation are derived from three types of generalized KP equations.

Xiao-Jing, Li

doi: 10.1088/1674-1056/19/2/020202pmid: N/A

This paper is devoted to studying the El Niño mechanism of atmospheric physics. The existence and asymptotic estimates of periodic solutions for its model are obtained by employing the technique of upper and lower solution, and using the continuation theorem of coincidence degree theory.

Jian-Yue, Guan; Zhi-Xi, Wu; Zi-Gang, Huang; Ying-Hai, Wang

doi: 10.1088/1674-1056/19/2/020203pmid: N/A

An evolutionary prisoner's dilemma game is investigated on two-layered complex networks respectively representing interaction and learning networks in one and two dimensions. A parameter q is introduced to denote the correlation degree between the two-layered networks. Using Monte Carlo simulations we studied the effects of the correlation degree on cooperative behaviour and found that the cooperator density nontrivially changes with q for different payoff parameter values depending on the detailed strategy updating and network dimension. An explanation for the obtained results is provided.

Lan-Hua, Zhong; Fu-Gen, Wu; Hui-Lin, Zhong

doi: 10.1088/1674-1056/19/2/020301pmid: N/A

The complete band gaps (CBGs) of shallow water waves propagating over bottoms with periodically drilled holes are investigated numerically by the plane wave expansion method. Four different patterns are considered, containing triangular, square, hexagonal and circular cross-sectioned holes arranged into triangular lattices. Results show that the width of CBGs can be changed by adjusting the orientation of noncircular holes and the effect of hole shape on the width of the maximal CBGs is discussed.

Xuan-Yang, Lai; Qing-Yu, Cai; Ming-Sheng, Zhan

doi: 10.1088/1674-1056/19/2/020302pmid: N/A

This paper introduces Bohmian mechanics (BM) into the intense laser-atom physics to study high-order harmonic generation. In BM, the trajectories of atomic electron in an intense laser field can be obtained with the BohmNewton equation. The power spectrum with the trajectory of an atomic electron is calculated, which is found to be irregular. Next, the power spectrum associated with an atom ensemble from BM is considered, where the power spectrum becomes regular and consistent with that from quantum mechanics. Finally, the reason of the generation of the irregular spectrum is discussed.

Ye-Jun, Xu; Hong-Yi, Fan; Qiu-Yu, Liu

doi: 10.1088/1674-1056/19/2/020303pmid: N/A

By virtue of the completeness of Wigner operator and Weyl correspondence we construct a general equation for deriving pure state density operators. Several important examples are considered as the applications of this equation, which shows that our approach is effective and convenient for deducing these entangled state representations.

Wei-Tao, Lu; Shun-Jin, Wang; Hua, Zhang

doi: 10.1088/1674-1056/19/2/020304pmid: N/A

The influence of parameters such as the strength and frequency of a periodic driving force on the tunneling dynamics is investigated in a symmetric triple-well potential. It is shown that for some special values of the parameters, tunneling could be enhanced considerably or suppressed completely. Quantum fluctuation during the tunneling is discussed as well and the numerical results are presented and analysed by virtue of Floquet formalism.

Chargui, Y; Chetouani, L; Trabelsi, A

doi: 10.1088/1674-1056/19/2/020305pmid: N/A

Using the momentum space representation, we solve the KleinGordon equation in one spatial dimension for the case of mixed scalar and vector linear potentials in the context of deformed quantum mechanics characterized by a finite minimal uncertainty in position. The expressions of bound state energies and the associated wave functions are exactly obtained.

De-Hua, Wang

doi: 10.1088/1674-1056/19/2/020306pmid: N/A

The photodetachment of a hetero-nuclear diatomic molecular negative ion is studied by using a two-centre model. An analytic formula is presented for the electron flux distribution of a heteronuclear diatomic molecular negative ion. Taking HF as an example, we calculated the electron flux distributions of this ion for various detached electron energies. The results show that the electron flux distributions exhibit oscillatory structures, which are caused by the interference effect between the two nuclei. Besides, the laser light polarization also has a great influence on the electron flux distribution. The oscillation amplitude is the largest when the laser polarization is parallel to the z-axis; when the laser polarization is perpendicular to the z-axis, the oscillation almost vanishes. This study provides a new understanding of the photodetachment of a heteronuclear diatomic molecular negative ion.

Da-Ming, Liu; Yan-Wei, Wang; Xiu-Mei, Jiang; Yi-Zhuang, Zheng

doi: 10.1088/1674-1056/19/2/020307pmid: N/A

A criterion for he tquantum teleportation of an arbitrary N-particle state via a 2N-particle quantum channel is presented by introducing a term of the “judgment operator". Using the criterion, not only the qualitative judgment of the possibility of successful teleportation can be made but also the quantitative calculation of the probability of successful teleportation can be explicitly given. In addition, a new genuine four-qubit entangled state is proposed, which could not belong to the category of previously known states under stochastic local operations and classical communication.