Fast initialization of a high-fidelity quantum register using optical superlattices

We propose a method for the fast generation of a quantum register of addressable qubits consisting of ultracold atoms stored in an optical lattice. Starting with a half filled lattice we remove every second lattice barrier by adiabatically switching on a superlattice potential which leads to a long wavelength lattice in the Mott insulator state with unit filling. The larger periodicity of the resulting lattice could make individual addressing of the atoms via an external laser feasible. We develop a Bose-Hubbard-like model for describing the dynamics of cold atoms in a lattice when doubling the lattice periodicity via the addition of a superlattice potential. The dynamics of the transition from a half filled to a commensurately filled lattice is analyzed numerically with the help of the Time Evolving Block Decimation algorithm and analytically using the Kibble-Zurek theory. We show that the time scale for the whole process, i.e. creating the half filled lattice and subsequent doubling of the lattice periodicity, is significantly faster than adiabatic direct quantum freezing of a superfluid into a Mott insulator for large lattice periods. Our method therefore provides a high fidelity quantum register of addressable qubits on a fast time scale.Comment: 22 pages, 9 figures, IOP style. Revised version to appear in NJ

Quark Mass Matrices with Four and Five Texture Zeroes, and the CKM Matrix, in terms of Mass Eigenvalues

Using the triangular matrix techniques of Kuo et al and Chiu et al for the four and five texture zero cases, with vanishing (11) elements for U and D matrices, it is shown, from the general eigenvalue equations and hierarchy conditions, that the quark mass matrices, and the CKM matrix can be expressed (except for the phases) entirely in terms of quark masses. The matrix structures are then quite simple and transparent. We confirm their results for the five texture zero case but find, upon closer examination of all the CKM elements which our results provide, that six of their nine patterns for the four texture zero case are not compatible with experiments. In total, only one five-texture zero and three four-texture zero patterns are allowed.Comment: 15 pages, 3 table

The oldest record of cephalopods (ellesmeroceratida) from the Central Andean Basin

This study reports the oldest record of cephalopods from the Central Andean Basin. Numerous small ellesmeroceratids were collected from the Alfarcito Member of the Santa Rosita Formation in the Quebrada de Arenal/Trancas, Jujuy, Argentina. The cephalopods were found associated with the trilobite Kainella meridionalis, indicating an early Tremadocian (Tr1) age. They are not exceeding 20 mm in length and have slightly curved apices and very short chambers. The siphuncle is marginal and rather big, with straight and ortho- to hemichoanitic septal necks. Based on these features, an assignment to the Family Ellesmeroceratidae is suggested.The oldest record of cephalopods worldwide is from the Jiangshanian Stage (Furongian Series) of North China. In the early Stage 10, the cephalopod diversity and abundance increased. They are also known from Laurentia and other isolated or dubious localities (e.g., Siberia, Kazakhstan). By the end of the Cambrian, cephalopods underwent an important crisis, leading to the extinction of 95% of the existing genera. Only two of the forty known genera from the Furongian survived this event.Cephalopods from the early Tremadocian (Tr1) are not abundant or widespread but are dominated by ellesmeroceratids. So far, they were unknown from mid to high paleolatitude basins. This is the first record from a temperate water region and the oldest from the Central Andean Basin. Contrary to coetaneous cephalopod assemblages from Laurentia, this association seems to be of very low diversity. One particular trait makes it outstanding: the very small size of the specimens, which reminds those known from the late Cambrian.Fil: Cichowolski, Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Estudios Andinos "Don Pablo Groeber". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Estudios Andinos "Don Pablo Groeber"; ArgentinaFil: Vaccari, Norberto Emilio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigaciones en Ciencias de la Tierra. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas Físicas y Naturales. Centro de Investigaciones en Ciencias de la Tierra; ArgentinaFil: Vaucher, R.. University Fraser Simon; CanadáFil: Waisfeld, Beatriz Graciela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigaciones en Ciencias de la Tierra. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas Físicas y Naturales. Centro de Investigaciones en Ciencias de la Tierra; ArgentinaReunión de Comunicaciones de la Asociación Paleontológica ArgentinaLa PlataArgentinaAsociación Paleontológica ArgentinaUniversidad Nacional de La Plata. Facultad de Ciencias Naturales y Muse