We explore the interplay between tunneling process and chiral interactions in the discrimination of chiral states for an ensemble of molecules in a biological environment. Each molecule is described by an asymmetric double-well potential and the environment is modeled as a bath of harmonic oscillators. We carefully analyze different time-scales appearing in the resulting master equation at both...

We prove that a C 2+α-smooth orientation-preserving circle diffeomorphism with rotation number in Diophantine class D δ , 0 < δ < α ≤ 1, is C 1+α−δ-smoothly conjugate to a rigid rotation. We also derive the most precise version of Denjoy's inequality for such diffeomorphisms.

We have studied the noise in the optical rotation of a linearly polarized laser beam transmitted through a spin-polarized (133)Cs vapor as a function of its frequency detuning from the optical resonance. Our measurements demonstrate the direct conversion of the laser-frequency noise into optical rotation noise by the dispersive response of the atomic vapor. We describe this noise-conversion pro...

Potato has become one of the primary cash crops in the arid region of the Loess Plateau. However, what and how cereal crops to rotate with potato is better for the farmer’s income and environment is unclear now. 11 potato based rotation systems were simulated in Yulin, using EPIC model based on local information. Results showed 1) Though mean potato yield decreased from 6.84 to 5.38 t/hm, the m...

In this paper we consider twist mappings of the torus, T : T2 → T2, and their vertical rotation intervals ρV (T ) = [ρ − V , ρ + V ], which are closed intervals such that for any ω ∈]ρV , ρ+V [ there exists a compact T -invariant set Qω with ρV (x) = ω for any x ∈ Qω , where ρV (x) is the vertical rotation number of x. In case ω is a rational number, Qω is a periodic orbit (this study began in ...

2-Quinolone-4-carboxamide derived from (S)-proline, which exists as a mixture of two diastereomers before crystallization, converged to a single diastereomer by crystallization (CIDT), and the homochirality was transferred by a intermolecular 2 + 2 photocycloaddition reaction with high optical activity.

A method is proposed for the optical rotation of the spin of an electron in a quantum dot using excited trion states to implement operations significantly faster than those of most existing proposals. Key ingredients are the geometric phase induced by 2pi hyperbolic secant pulses, use of coherently trapped states and use of naturally dark states. Our proposal covers a variety of quantum dots by...

crop productivity, water use efficiency (wue), and microbial biomass c and n in rainfed dry area are influenced by tillage, rotation, and crop residue management. field experiments were conducted during 2005-08 to study the effect of tillage, crop rotation, and crop residue retention on oat fodder yield, water use efficiency, and microbial biomass c (mbc) and n (mbn) under semi-arid conditions ...

The improvement of irrigation systems in the Nile Delta is one of the most important attempts in Egypt to implement more effective irrigation technology by improving the existing irrigation networks. Demand delivery system in the existing irrigation network is using of mechanical gates structures to automatically divert water from one portion of an agricultural field to another in the desired a...