Violation of the Cauchy-Schwarz inequality with matter waves.

The Cauchy-Schwarz (CS) inequality-one of the most widely used and important inequalities in mathematics-can be formulated as an upper bound to the strength of correlations between classically fluctuating quantities. Quantum-mechanical correlations can, however, exceed classical bounds. Here we realize four-wave mixing of atomic matter waves using colliding Bose-Einstein condensates, and demonstrate the violation of a multimode CS inequality for atom number correlations in opposite zones of the collision halo. The correlated atoms have large spatial separations and therefore open new opportunities for extending fundamental quantum-nonlocality tests to ensembles of massive particles.

Acoustic analog to the dynamical Casimir effect in a Bose-Einstein condensate.

We have modulated the density of a trapped Bose-Einstein condensate by changing the trap stiffness, thereby modulating the speed of sound. We observe the creation of correlated excitations with equal and opposite momenta, and show that for a well-defined modulation frequency, the frequency of the excitations is half that of the trap modulation frequency.

Spontaneous four-wave mixing of de Broglie waves: beyond optics.

We investigate the atom-optical analog of degenerate four-wave mixing by colliding two Bose-Einstein condensates of metastable helium. The momentum distribution of the scattered atoms is measured in three dimensions. A simple analogy with photon phase matching conditions suggests a spherical final distribution. We find, however, that it is an ellipsoid with radii smaller than the initial collision momenta. Numerical and analytical calculations agree with this and reveal the interplay between many-body effects, mean-field interaction, and the anisotropy of the source condensate.

Sub-poissonian number differences in four-wave mixing of matter waves.

We demonstrate sub-Poissonian number differences in four-wave mixing of Bose-Einstein condensates of metastable helium. The collision between two Bose-Einstein condensates produces a scattering halo populated by pairs of atoms of opposing velocities, which we divide into several symmetric zones. We show that the atom number difference for opposing zones has sub-Poissonian noise fluctuations, whereas that of nonopposing zones is well described by shot noise. The atom pairs produced in a dual number state are well adapted to sub-shot-noise interferometry and studies of Einstein-Podolsky-Rosen-type nonlocality tests.

Retrotransposon Mys was active during evolution of the Peromyscus leucopus-maniculatus complex.

Mys is a retrovirus-like transposable element found throughout the genus Peromyscus. Several mys subfamilies identified on the basis of restriction site variation occur in more than one species. The distribution of these subfamilies is consistent with the accepted species phylogeny, suggesting that mys was present in the ancestor of Peromyscus and has been active through much of the evolution of this genus. Quantitative Southern blot analysis was used to examine the variability of subfamilies in P. leucopus and maniculatus. We found that subfamilies with phylogenetically narrow distributions were more variable in copy number both within and between species than subfamilies with a broader distribution. Taken together, our data suggest that mys has undergone multiple rounds of transposition since the peromyscine radiation, and that five subfamilies have been amplified during the evolution of the leucopus-maniculatus species complex.

Role of the TonB amino terminus in energy transduction between membranes.

Escherichia coli TonB protein is an energy transducer, coupling cytoplasmic membrane energy to active transport of vitamin B12 and iron-siderophores across the outer membrane. TonB is anchored in the cytoplasmic membrane by its hydrophobic amino terminus, with the remainder occupying the periplasmic space. In this report we establish several functions for the hydrophobic amino terminus of TonB. A G-26-->D substitution in the amino terminus prevents export of TonB, suggesting that the amino terminus contains an export signal for proper localization of TonB within the cell envelope. Substitution of the first membrane-spanning domain of the cytoplasmic membrane protein TetA for the TonB amino terminus eliminates TonB activity without altering TonB export, suggesting that the amino terminus contains sequence-specific information. Detectable TonB cross-linking to ExbB is also prevented, suggesting that the two proteins interact primarily through their transmembrane domains. In vivo cleavage of the amino terminus of TonB carrying an engineered leader peptidase cleavage site eliminates (i) TonB activity, (ii) detectable interaction with a membrane fraction having a density intermediate to those of the cytoplasmic and outer membranes, and (iii) cross-linking to ExbB. In contrast, the amino terminus is not required for cross-linking to other proteins with which TonB can form complexes, including FepA. Additionally, although the amino terminus clearly is a membrane anchor, it is not the only means by which TonB associates with the cytoplasmic membrane. TonB lacking its amino-terminal membrane anchor still remains largely associated with the cytoplasmic membrane.

In vivo translational start site selection on leaderless mRNA transcribed from the Streptomyces fradiae aph gene.

The message of the Streptomyces fradiae aph gene lacks a leader sequence and therefore is translated in the absence of a conventional Shine-Dalgarno interaction between mRNA and 30S ribosomal subunits. Insertion mutations generating short leaders of 2 or 4 nucleotides on the 5' end of the aph transcript reduced translational efficiency. A 4-base leader (5'-AUGC-3') placing a potential out-of-frame start codon immediately upstream of the aph coding sequence prevented detectable translation in the aph reading frame. The upstream AUG in this mutant was able to drive the expression of a reporter gene in a translational fusion vector, implying that this start codon was utilized in favor of the downstream AUG. Additional leaders (5'-AUAUGC-3' or 5'-CAUAUGC-3') placing 2 or 3 nucleotides 5' to the upstream AUG relieved this apparent discrimination, permitting translation of the APH protein from the downstream AUG. These results suggest that the position of a start codon with respect to the 5' terminus of aph mRNA is a determinant of translational efficiency and start site selection.