Efficient generation of graph states for quantum computation

We present an entanglement generation scheme which allows arbitrary graph states to be efficiently created in a linear quantum register via an auxiliary entangling bus. The dynamics of the entangling bus is described by an effective non-interacting fermionic system undergoing mirror-inversion in which qubits, encoded as local fermionic modes, become entangled purely by Fermi statistics. We discuss a possible implementation using two species of neutral atoms stored in an optical lattice and find that the scheme is realistic in its requirements even in the presence of noise.Comment: 4 pages, 3 figures, RevTex 4; v2 - Major changes and new result

Revealing hidden symmetries and gauge invariance of the massive Carroll-Field-Jackiw model

In this paper we have analyzed the improved version of the Gauge Unfixing (GU) formalism of the massive Carroll-Field-Jackiw model, which breaks both the Lorentz and gauge invariances, to disclose hidden symmetries to obtain gauge invariance, the key stone of the Standard Model. In this process, as usual, we have converted this second-class system into a first-class one and we have obtained two gauge invariant models. We have verified that the Poisson brackets involving the gauge invariant variables, obtained through the GU formalism, coincide with the Dirac brackets between the original second-class variables of the phase space. Finally, we have obtained two gauge invariant Lagrangians where one of them represents the Stueckelberg form.Comment: revised version. To appear in Europhysics Letter

Fertilização com uréia em superfície em pastagem irrigada e a volatilização de amônia.

A aplicação de uréia em superfície na pastagem pode ocasionar elevadas perdas de amônia por volatilização e uma das alternativas para minimizar esse efeito é a irrigação ou a precipitação logo após a adubação. O objetivo dessa pesquisa foi avaliar o efeito da aplicação de lâminas de água, após a adubação com uréia (75 kgN/ha) na superfície e a lanço em pastagem de colonião, nas perdas de N por volatilização. Foram realizados três experimentos em três épocas, verão, inverno e primavera. O delineamento experimental foi em faixas, em sistema de aspersão em linha, com cinco repetições. Os tratamentos foram quatro níveis de irrigação após a adubação com uréia, sendo três tratamentos com lâminas de água e um controle (sem irrigação). Um dos tratamentos consistia em elevar a umidade do solo à capacidade de campo e os outros dois eram lâminas de água intermediárias aos do controle e capacidade de campo, havendo variação conforme a estação do ano. No verão, a aplicação de apenas 3,2 mm de água elevou a umidade do solo para 52,4% da capacidade de água disponível e reduziu as perdas de N-NH3 para menos de 3,1 % do N aplicado, enquanto a ausência de irrigação provocou perdas de 30,5%. No inverno e na primavera a volatilização de N-NH3 foi baixa, mesmo na ausência de irrigação após a adubação. Na primavera, a irrigação com 16 mm de água elevou a umidade do solo à capacidade de campo e reduziu as perdas para 1,6 % do N aplicado, enquanto no controle as perdas foram de 5%

Is it really possible to grow isotropic on-lattice diffusion-limited aggregates?

In a recent paper (Bogoyavlenskiy V A 2002 \JPA \textbf{35} 2533), an algorithm aiming to generate isotropic clusters of the on-lattice diffusion-limited aggregation (DLA) model was proposed. The procedure consists of aggregation probabilities proportional to the squared number of occupied sites ($k^2$). In the present work, we analyzed this algorithm using the noise reduced version of the DLA model and large scale simulations. In the noiseless limit, instead of isotropic patterns, a $45^\circ$ ($30^\circ$) rotation in the anisotropy directions of the clusters grown on square (triangular) lattices was observed. A generalized algorithm, in which the aggregation probability is proportional to $k^\nu$, was proposed. The exponent $\nu$ has a nonuniversal critical value $\nu_c$, for which the patterns generated in the noiseless limit exhibit the original (axial) anisotropy for $\nu<\nu_c$ and the rotated one (diagonal) for $\nu>\nu_c$. The values $\nu_c = 1.395\pm0.005$ and $\nu_c = 0.82\pm 0.01$ were found for square and triangular lattices, respectively. Moreover, large scale simulations show that there are a nontrivial relation between noise reduction and anisotropy direction. The case $\nu=2$ (\bogo's rule) is an example where the patterns exhibit the axial anisotropy for small and the diagonal one for large noise reduction.Comment: 12 pages, 8 figure

Exact solution for the energy density inside a one-dimensional non-static cavity with an arbitrary initial field state

We study the exact solution for the energy density of a real massless scalar field in a two-dimensional spacetime, inside a non-static cavity with an arbitrary initial field state, taking into account the Neumann and Dirichlet boundary conditions. This work generalizes the exact solution proposed by Cole and Schieve in the context of the Dirichlet boundary condition and vacuum as the initial state. We investigate diagonal states, examining the vacuum and thermal field as particular cases. We also study non-diagonal initial field states, taking as examples the coherent and Schrodinger cat states.Comment: 10 pages, 8 figure