Transition to quantum turbulence in finite-size superfluids

A novel concept of quantum turbulence in finite size superfluids, such as trapped bosonic atoms, is discussed. We have used an atomic (87)Rb Bose-Einstein condensate (BEC) to study the emergence of this phenomenon. In our experiment, the transition to the quantum turbulent regime is characterized by a tangled vortex lines formation, controlled by the amplitude and time duration of the excitation produced by an external oscillating field. A simple model is suggested to account for the experimental observations. The transition from the non-turbulent to the turbulent regime is a rather gradual crossover. But it takes place in a sharp enough way, allowing for the definition of an effective critical line separating the regimes. Quantum turbulence emerging in a finite-size superfluid may be a new idea helpful for revealing important features associated to turbulence, a more general and broad phenomenon. [GRAPHICS] Amplitude versus elapsed time diagram of magnetically excited BEC superfluid, presenting the evolution from the non-turbulent regime, with well separated vortices, to the turbulent regimes, with tangled vortices (C) 2011 by Astro Ltd. Published exclusively by WILEY-VCH Verlag GmbH & Co. KGaA

The low-lying electronic states of BeAs: a first principles characterization

The electronic structure and spectroscopic properties of a manifold of states of a new molecular species, BeAs, have been investigated theoretically at the complete active space self-consistent field/multireference single and double excitations configuration interaction (CASSCF/MRSDCI) approach, using the aug-cc-pV5Z-PP basis set for arsenic, which includes a relativistic effective core potential, and the cc-pV5Z set for beryllium. Potential energy curves of five quartet and eight doublet (I > + S) states correlating with the five lowest-lying dissociation limit are constructed. The effect of spin-orbit coupling is also included in the description of the ground state, and of the doublet states correlating with the second dissociation channel. Dipole moment functions and vibrationally averaged dipole moments are also evaluated. The similarities and differences between BeAs, BeP, and BeN are analyzed. Spin-orbit effects are small for the ground state close to the equilibrium distance, but avoided crossings between Omega = 1/2 states, and between Omega = 3/2 states changes significantly the I > + S curves for the lowest-lying doublets.

Quantum control of electromagnetically induced transparency dispersion via atomic tunneling in a double-well Bose-Einstein condensate

Electromagnetically induced transparency (EIT) is an important tool for controlling light propagation and nonlinear wave mixing in atomic gases with potential applications ranging from quantum computing to table top tests of general relativity. Here we consider EIT in an atomic Bose-Einstein condensate (BEC) trapped in a double-well potential. A weak probe laser propagates through one of the wells and interacts with atoms in a three-level Lambda configuration. The well through which the probe propagates is dressed by a strong control laser with Rabi frequency Omega(mu), as in standard EIT systems. Tunneling between the wells at the frequency g provides a coherent coupling between identical electronic states in the two wells, which leads to the formation of interwell dressed states. The macroscopic interwell coherence of the BEC wave function results in the formation of two ultranarrow absorption resonances for the probe field that are inside of the ordinary EIT transparency window. We show that these new resonances can be interpreted in terms of the interwell dressed states and the formation of a type of dark state involving the control laser and the interwell tunneling. To either side of these ultranarrow resonances there is normal dispersion with very large slope controlled by g. We discuss prospects for observing these ultranarrow resonances and the corresponding regions of high dispersion experimentally.

Sistema de compras eletrônicas por leilão reverso: estudo dos impactos observados na experiência do estado de São Paulo

Dentro do contexto de modernização da administração pública brasileira em meados da década de 90, um novo formato de compras por meio de leilão reverso desenvolveu-se no estado de São Paulo. Novas tecologias, a internet, e recem implentadas ferramentas gerenciais possibilitaram a criação da Bolsa Eletrônica de Compras (BEC/SP). Os tradicionais rocessos licitatórios foram transformadores que competem simultaneamente, sem limitações geográficas pela venda ao menor preço. A luz da teoria dos leilões, o presente trabalho analisa os novos modelo e processos de compras recém implementados sob a forma de licitações eletrônicas, considerando como caso a BEC/SP. Através das análises, observa qual o impacto financeiro da Bolsa nas compras do Governo Estadual, medindo até que ponto esta nova ferramenta de compras pode reduzir os preços de materiais comprados tanto na administração pública como também privada. Além disto, outros pontos como o volume atualmente negociado na BEC/SP pelo Estado, os tipos de materiais que apresentam maiores reduções nos preços são também estudados. Para os itens de maior relevância nas compras paulistas, alguns controles são realizados na tentativa de isolar o efeito bolsa de outros efeitos na redução de preços como localização da compra ou quantidade comprada. O trabalho pretende levantar, por meio do estudo de caso do Estado de São Paulo, as principais questões na implementação de um sistema de compras semelhantes e ressaltar a importância de uma política de compras estruturada e eficiente na administração dos já escassos recursos públicos

O papel das transferências intergovernamentais na equalização fiscal dos municípios brasileiros

Com a descentralização que caracterizou a federação brasileira nas últimas décadas, os municípios receberam maiores atribuições e responsabilidades, implementando políticas públicas e provendo serviços básicos à população. Contudo, uma vez que as receitas próprias municipais são capazes de custear apenas parcialmente estas atividades, torna-se necessário um volume elevado de transferências que fluem dos níveis centrais aos municípios. Além do mais, o Brasil é um país de território vasto e heterogêneo, em que municípios com distintas capacidades de autofinanciamento, bem como diferentes demandas por serviços públicos, convivem no mesmo regime federativo. Diante deste quadro, torna-se fundamental estudar a distribuição dos recursos das transferências, verificando se os municípios que mais necessitam de suporte financeiro têm sido os efetivamente beneficiados. À este processo de reduzir as disparidades horizontais provenientes de diferenças nas bases tributárias e demandas locais dá-se o nome de equalização fiscal. A equalização fiscal permite que municípes de diferentes jurisdições recebam o mesmo nível de serviços públicos para dada carga tributária assumida por eles (net fiscal benefit), ou seja, a equalização promove a equidade na provisão dos serviços públicos, além de evitar a criação de ineficiência alocativa derivada de migrações motivadas por benefícios fiscais. Para criar a equalização fiscal as transferências devem beneficiar aqueles municípios com menor capacidade de autofinanciamento e maiores necessidades fiscais atreladas à custos e demandas pelos serviços públicos. Neste sentido, este trabalho busca avaliar o efeito das transferências intergovernamentais na equalização fiscal dos municípios, considerando as principais proxies de capacidade fiscal – potencial de geração de receita própria – e necessidade fiscal – volume de recursos demandados em virtude das características da região e da população do município. A análise é realizada para cada grupo de transferências, desde aquelas com finalidade essencialmente redistributiva como o FPM até aquelas predominantemente devolutivas, como a cota-parte de ICMS. Os resultados mostram que algumas transferências como o FPM contribuem pouco para a equalização fiscal, apesar do objetivo de natureza redistributiva implícito neste repasse, assim como algumas transferências condicionais, como o FUNDEB, apesar de não almejarem especificamente corrigir as disparidades horizontais na capacidade dos municípios realizarem suas funções, podem significar um efeito positivo para a equalização fiscal no nível municipal da federação. Outro resultado importante que desponta na análise é o efeito da transferência do Bolsa-família na equalização, pois esta transferência consegue atenuar as distorções realizadas pelas demais transferências distribuídas aos municípios. O Bolsa-família, apesar de não ser uma transferência intergovernamental, foi incorporada na análise por representar um expressivo volume de recursos, por concorrer com recursos de outras transferências e ainda ter efeito potencial semelhante ao das demais transferências intergovernamentais no âmbito da equalização fiscal, uma vez que libera recursos no orçamento do governo local que, do contrário, poderiam estar comprometidos com a política local de assistência social. Outro resultado é a observação de que as transferências voluntárias afetam menos a equalização, ou seja, não contribuem para a consecução deste objetivo nem prejudicam a redução das disparidades horizontais, sendo relativamente neutras ou menos intervenientes em relação às demandas e capacidade de arrecadação dos municípios, provavelmente por não seguirem critérios, nem econômicos, como o ICMS, nem redistributivos, como o FPM, e sim critérios políticos, como apontado pela literatura de ciência política.

Dissipative dynamics of matter-wave solitons in a nonlinear optical lattice

Dynamics and stability of solitons in two-dimensional (2D) Bose-Einstein condensates (BEC), with one-dimensional (1D) conservative plus dissipative nonlinear optical lattices, are investigated. In the case of focusing media (with attractive atomic systems), the collapse of the wave packet is arrested by the dissipative periodic nonlinearity. The adiabatic variation of the background scattering length leads to metastable matter-wave solitons. When the atom feeding mechanism is used, a dissipative soliton can exist in focusing 2D media with 1D periodic nonlinearity. In the defocusing media (repulsive BEC case) with harmonic trap in one direction and nonlinear optical lattice in the other direction, the stable soliton can exist. Variational approach simulations are confirmed by full numerical results for the 2D Gross-Pitaevskii equation.

Mean-field model for Josephson oscillation in a Bose-Einstein condensate on an one-dimensional optical trap

Using the axially-symmetric time-dependent Gross-Pitaevskii equation we study the phase coherence in a repulsive Bose-Einstein condensate (BEC) trapped by a harmonic and an one-dimensional optical lattice potential to describe the experiment by Cataliotti et al. on atomic Josephson oscillation [Science 293, 843 (2001)]. The phase coherence is maintained after the BEC is set into oscillation by a small displacement of the magnetic trap along the optical lattice. The phase coherence in the presence of oscillating neutral current across an array of Josephson junctions manifests in an interference pattern formed upon free expansion of the BEC. The numerical response of the system to a large displacement of the magnetic trap is a classical transition from a coherent superfluid to an insulator regime and a subsequent destruction of the interference pattern in agreement With the more recent experiment by Cataliotti et al. [New J. Phys. 5, 71 (2003)].

Dynamics of bright matter-wave solitons in a Bose-Einstein condensate with inhomogeneous scattering length

We investigate dynamical effects of a bright soliton in Bose-Einstein condensed (BEC) systems with local and smooth space variations of the two-body atomic scattering length. It includes a discussion about the possible observation of a new type of standing nonlinear atomic matter wave in cigar-type traps. A rich dynamics is observed in the interaction between the soliton and an inhomogeneity. By considering an analytical time-dependent variational approach and also full numerical simulation of one-dimensional and three-dimensional Gross-Pitaevskii equations, we study processes such as trapping, reflection and transmission of the bright matter soliton due to the impurity. We also derive conditions for the collapse of the bright solitary wave, considering a quasi-one-dimensional BEC with attractive local inhomogeneity.

Resonance in Bose-Einstein condensate oscillation from a periodic variation in scattering length

Using the explicit numerical solution of the axially symmetric Gross-Pitaevskii equation, we study the oscillation of the Bose-Einstein condensate (BEC) induced by a periodic variation in the atomic scattering length a. When the frequency of oscillation of a is an even multiple of the radial or axial trap frequency, respectively, the radial or axial oscillation of the condensate exhibits resonance with a novel feature. In this nonlinear problem without damping, at resonance in the steady state the amplitude of oscillation passes through a maximum and minimum. Such a growth and decay cycle of the amplitude may keep on repeating. Similar behaviour is also observed in a rotating BEC.

Bound states of attractive Bose-Einstein condensates in shallow traps in two and three dimensions

Using variational and numerical solutions of the mean-field Gross-Pitaevskii equation for attractive interaction (with cubic or Kerr nonlinearity), we show that a stable bound state can appear in a Bose-Einstein condensate (BEC) in a localized exponentially screened radially symmetric harmonic potential well in two and three dimensions. We also consider an axially symmetric configuration with zero axial trap and a exponentially screened radial trap so that the resulting bound state can freely move along the axial direction like a soliton. The binding of the present states in shallow wells is mostly due to the nonlinear interaction with the trap playing a minor role. Hence, these BEC states are more suitable to study the effect of the nonlinear force on the dynamics. We illustrate the highly nonlinear nature of breathing oscillations of these states. Such bound states could be created in BECs and studied in the laboratory with present knowhow.

Josephson oscillation and induced collapse in an attractive Bose-Einstein condensate

Using the axially symmetric time-dependent Gross-Pitaevskii equation we study the Josephson oscillation of an attractive Bose-Einstein condensate (BEC) in a one-dimensional periodic optical-lattice potential. We find that the Josephson frequency is virtually independent of the number of atoms in the BEC and of the interatomic interaction (attractive or repulsive). We study the dependence of the Josephson frequency on the laser wave length and the strength of the optical-lattice potential. For a fixed laser wave length (795 nm), the Josephson frequency decreases with increasing strength as found in the experiment of Cataliotti [Science 293, 843 (2001)]. For a fixed strength, the Josephson frequency remains essentially unchanged for a reasonable variation of laser wave length around 800 nm. However, the Josephson oscillation is disrupted with the increase of laser wave length beyond 2000 nm leading to a collapse of a sufficiently attractive BEC. These features of a Josephson oscillation can be tested experimentally with present setups.

Dissipation-managed soliton in a quasi-one-dimensional Bose-Einstein condensate

We use the time-dependent mean-field Cross-Pitaevskii equation to study the formation of a dynamically-stabilized dissipation managed bright soliton in a quasi-one dimensional Bose-Einstein condensate (BEC). Because of three-body recombination of bosonic atoms to molecules, atoms are lost (dissipated) from a BEC. Such dissipation leads to the decay of a BEC soliton. We demonstrate by a perturbation procedure that an alimentation of atoms from an external source to the BEC may compensate for the dissipation loss and lead to a dynamically-stabilized soliton. The result of the analytical perturbation method is in excellent agreement with mean-field numerics. It seems possible to obtain such a dynamically stabilized BEC soliton without dissipation in laboratory.

Resonances in a trapped 3D Bose-Einstein condensate under periodically varying atomic scattering length

Nonlinear oscillations of a 3D radial symmetric Bose-Einstein condensate under periodic variation in time of the atomic scattering length have been studied. The time-dependent variational approach is used for the analysis of the characteristics of nonlinear resonances in the oscillations of the condensate. The bistability in oscillations of the BEC width is investigated. The dependence of the BEC collapse threshold on the drive amplitude and parameters of the condensate and trap is found. Predictions of the theory are confirmed by numerical simulations of the full Gross-Pitaevskii equation.