Application of rational expansion method for stochastic differential equations

By means of the Hermite transformation, a new general ansätz and the symbolic computation system Maple, we apply the Riccati equation rational expansion method [24] to uniformly construct a series of stochastic non-traveling wave solutions for stochastic differential equations. To illustrate the effectiveness of our method, we take the stochastic mKdV equation as an example, and successfully construct some new and more general solutions. The method can also be applied to solve other nonlinear stochastic differential equation or equations.     

Protecting Qutrit-Qutrit Entanglement Under the Generalized Amplitude Decoherence of the Finite Temperature

We investigate the dynamics and protection of quantum entanglement of a qutrit-qutrit system under local amplitude damping channels with finite temperature. We consider two different initial states. We find that the qutrit-qutrit entanglement decays monotonically as the decoherence strength increases, and may go through entanglement sudden death at higher temperature. Special attention is paid to how to protect the quantum entanglement from decoherence by weak measurement and quantum measurement reversal. Our results show that the entanglement increases with the increase of weak measurement strength when the temperature is lower. However, the protections of entanglement by weak measurement and quantum measurement reversal are almost failed and the decays of entanglement goes up with the increase of weak measurement strength for different decoherence strength when the temperature is higher, even entanglement suffers sudden death.

     

Schiff base compounds derived from (R)-3-phenyl-2-phthalimidopropionic acid: photochromism, solvatochromism, and fluorescence

The photochromic behaviors of four Schiff bases derived from (R)-3-phenyl-2-phthalimidopropionic acid were studied to reveal the substituent effect on the photosensitivity. Upon ultraviolet light radiation, all of compounds 1–4 exhibit photochromic behavior in solution through intramolecular hydrogen atom transfer. In solid state, only compound 2 is photochromic, which may be due to the presence of meta-site methoxyl. In solution, the photochromic behavior of compound 3 is remarkable than the other compounds, which may be ascribed to the presence of para-site hydroxyl. Only compound 4 exhibits solvatochromism, which may be ascribed to the large dissociation tendency of the naphthol hydroxyl. The influences of acidity on the UV–Vis absorption spectra of the title compounds were also studied.