We consider ultracold atoms trapped in a toroidal trap with an azimuthal lattice for utility as macroscopic simulator of quantum optics phenomena. examine the dynamics induced by adiabatic introduction that serves to couple normal modes, analog laser field coupling electronic states. The system is found display two distinct behaviors, manifest angular momentum - coherent oscillation and self-tr...

We propose a coherent x-ray zoom condenser lens composed of two-stage deformable Kirkpatrick-Baez mirrors. The lens delivers coherent x-rays with a controllable beam size, from one micrometer to a few tens of nanometers, at a fixed focal position. The lens is suitable for diffractive and scanning microscopy. We also propose non-scanning coherent diffraction microscopy for extended objects by us...

in this paper, we study some ring theoretic properties of the amalgamated duplication ring $rbowtie i$ of a commutative noetherian ring $r$ along an ideal $i$ of $r$ which was introduced by d'anna and fontana. indeed, it is determined that when $rbowtie i$ satisfies serre's conditions $(r_n)$ and $(s_n)$, and when is a normal ring, a generalized cohen-macaulay ring and finally a filter ring.

Performance evaluation and reliability prediction are two important factors in the study of multiprocessor and cluster interconnects. One such interconnect is the Scalable Coherent Interface (SCI). SCI is a point-to-point, ringbased interconnect that can be configured in various switched-ring topologies such as counter-rotating rings and tori. While performance analyses of SCI-based interconnec...

Predator-prey system, as an essential element of ecological dynamics, has been recently studied experimentally with synthetic biology. We developed a global probabilistic landscape and flux framework to explore a synthetic predator-prey network constructed with two Escherichia coli populations. We developed a self consistent mean field method to solve multidimensional problem and uncovered the ...

in this paper, we introduce a class of $j$-quasipolar rings. let $r$ be a ring with identity. an element $a$ of a ring $r$ is called {it weakly $j$-quasipolar} if there exists $p^2 = pin comm^2(a)$ such that $a + p$ or $a-p$ are contained in $j(r)$ and the ring $r$ is called {it weakly $j$-quasipolar} if every element of $r$ is weakly $j$-quasipolar. we give many characterizations and investiga...