Abstract:
The nonclassicality of single photon-added thermal states in the thermal channel is investigated by exploring the volume of the negative part of the Wigner function. The Wigner functions become positive when the decay time exceeds a threshold value $\gamma{t}_c$, which only depends on the effective temperature or mean thermal photon number of the thermal channel, but not depends on the effective temperature of the initial thermal state. This phenomenon is similar with the case of single quantum excitation of classical coherent states in thermal channel. Furthermore, we firstly demonstrate $\gamma{t}_c$ is the same for arbitrary pure or mixed nonclassical optical fields with zero population in vacuum state. PACS numbers: 42.50.Dv, 03.65.Yz, 05.40.Ca

Abstract:
The mean parity (the Wigner function at the origin) of excited binomial states, excited coherent states and excited thermal states in thermal channel is investigated in details. It is found that the single-photon excited binomial state and the single-photon excited coherent state exhibit certain similarity in the aspect of their mean parity in the thermal channel. We show the negative mean parity can be regarded as an indicator of nonclassicality of single-photon excitation of optical fields with a little coherence, especially for the single-photon excited thermal states.

Abstract:
We investigate the nonclassicality of several kinds of nonclassical optical fields such as the pure or mixed single photon-added coherent states and the cat states in the photon-loss or the dephasing channels by exploring the entanglement potential as the measure. It is shown that the long-time decay of entanglement potentials of these states in photon loss channel is dependent of their initial quadrature squeezing properties. In the case of photon-loss, transition of long-time decay rate emerges at the boundary between the squeezing and non-squeezing initial non-gaussian states if log-negativity is adopted as the measure of entanglement potential. However, the transition behavior disappears if the concurrence is adopted as the measure of entanglement potential. For the case of the dephasing, distinct decay behaviors of the nonclassicality are also revealed.

Abstract:
A scheme for generating the maximally entangled mixed state of two atoms on-resonance asymmetrically coupled to a single mode optical cavity field is presented. The part frontier of both maximally entangled mixed states and maximal Bell violating mixed states can be approximately reached by the evolving reduced density matrix of two atoms if the ratio of coupling strengths of two atoms is appropriately controlled. It is also shown that exchange symmetry of global maximal concurrence is broken if and only if coupling strength ratio lies between $\frac{\sqrt{3}}{3}$ and $\sqrt{3}$ for the case of one-particle excitation and asymmetric coupling, while this partial symmetry-breaking can not be verified by detecting maximal Bell violation.

Abstract:
A simulation scheme of quantum version of Cournot's Duopoly is proposed, in which there is a new Nash equilibrium that may be also Pareto optimal without any entanglement involved. The unique property of this simulation scheme is decoherence-free against the symmetric photon loss. Furthermore, we analyze the effects of the asymmetric information on this simulation scheme and investigate the case of asymmetric game caused by asymmetric photon loss. A second-order phase transition-like behavior of the average profits of the firm 1 and firm 2 in Nash equilibrium can be observed with the change of the degree of asymmetry of the information or the degree of "virtual cooperation". It is also found that asymmetric photon loss in this simulation scheme plays a similar role with the asymmetric entangled states in the quantum game. PACS numbers: 02.50.Le, 03.67.-a

Abstract:
We numerically investigated the entanglement product in the simplest coupled kicked top model with the spin $j=1$. Different from the dynamical pattern of entanglement in the semiclassical regime, two similar initial states may have discordant entanglement oscillations. A candidate of the quantum signature of this classical chaotic system was proposed. The potential antimonotonic relation between the rank correlation coefficient qualifying the concordant of two entanglement evolutions and the stationary entanglement was preliminarily revealed.

Abstract:
Based on location quotient technique, we analyzed the comparative advantages of agricultural sub-sectors of Beijing municipality over surrounding provinces, and those among 18 districts and counties of Beijing. The appropriate industrial composition of urban modern agriculture for Beijing municipality was advanced. The research results indicate no significant comparative advantage of agriculture industry of Beijing over other surrounding provinces; no advantage for crop and fish culture; but there is a significant advantage for forestry and animal husbandry. Among the districts and counties of Beijing, agriculture still has a higher proportion in local industrial economics of Yanqing, Miyun, Pinggu, Daxing, Tongzhou, Shunyi and Fangshan. For the inner structure of agriculture, crop production is higher in Fengtai, Daxing, Pinggu, Changping and Tongzhou. Comparative advantage of forestry is remarkable for Mentougou, Chaoyang, Fengtai, Changping, Huairou and Haidian. Animal production is comparatively advantageous for Huairou, Miyun, Fangshan, Shunyi, Mentougou and Yanqing. Agricultural service is outstanding (from the perspective of comparative advantage) in Haidian and Chaoyang. Consequently, in combination with natural resources and position situation, the overall arrangement of industrial development in urban agriculture in Beijing can be categorized into four different cycles: suburban agricultural cycle, exurb-plain agricultural cycle, mountain-ecology agricultural cycle, and cooperative agricultural cycle.

Abstract:
This paper studies the dead core problem for the equation u = f(u,Du) andtile equation aiu = n - f(u,Du). Some sufficient conditions for the existence andnonexistence of dead core are obtained.

Abstract:
In some off-resonant cases, the reduced density matrix of two atoms symmetrically coupled with an optical cavity can very approximately approach to maximally entangled mixed states or maximal Bell violation mixed states in their evolution. The influence of phase decoherence on the generation of maximally entangled mixed state is also discussed. PACS numbers: 03.67.-a, 03.65.Ud

Abstract:
We investigate the scheme for controlling information characterized by Von-Neumann entropy and the stationary state entanglement characterized by concurrence of two solid state qubits in the collective dephasing channel. It is shown that the local maximal value of the stationary state concurrence always corresponds to the local minimal value of information. We also propose a scheme for remotely controlling the entanglement of two solid state qubits against the collective dephasing. This idea may open a door to remotely suppress the detrimental effects of decoherence.