1,512 research outputs found

    Escape from a metastable well under a time-ramped force

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    Thermally activated escape of an over-damped particle from a metastable well under the action of a time-ramped force is studied. We express the mean first passage time (MFPT) as the solution to a partial differential equation, which we solve numerically for a model case. We discuss two approximations of the MFPT, one of which works remarkably well over a wide range of loading rates, while the second is easy to calculate and can provide a valuable first estimate.Comment: 9 pages, including 2 figure

    Resonance fluorescence in a band gap material: Direct numerical simulation of non-Markovian evolution

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    A numerical method of calculating the non-Markovian evolution of a driven atom radiating into a structured continuum is developed. The formal solution for the atomic reduced density matrix is written as a Markovian algorithm by introducing a set of additional, virtual density matrices which follow, to the level of approximation of the algorithm, all the possible trajectories of the photons in the electromagnetic field. The technique is perturbative in the sense that more virtual density matrices are required as the product of the effective memory time and the effective coupling strength become larger. The number of density matrices required is given by 3M3^{M} where MM is the number of timesteps per memory time. The technique is applied to the problem of a driven two-level atom radiating close to a photonic band gap and the steady-state correlation function of the atom is calculated.Comment: 14 pages, 9 figure

    Langtidsovervåking av miljøkvaliteten i kystområdene av Norge. Årsrapport 1996

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    Kystovervåkingsprogrammet skal gi en oversikt over miljøtilstanden m.h.t. næringssalter og effektene av disse på alge- og dyresamfunn fra svenskegrensen til Fedje. Utvikling over tid overvåkes innen fagdisiplinene hydrografi, hydrokjemi, planteplankton, bløtbunnsfauna og hardbunnsflora og -fauna. Året 1996 ble innledet med en kald vinter og vår. Vanntemperaturen i Skagerrak ned til ca. 25 m var i januar - februar kaldere enn gjennomsnittet for 1980-1990, mens samme periode i 1995 var uvanlig varm. Til forskjell fra 1995 var det ingen flom på kontinentet eller på Østlandet i 1996, og det resulterte i små tilførsler av næringssalter fra land. Sammenlignet med langtidsobservasjoner fra Arendalstasjonene (1980-90) var 1996 et år med lavere næringssaltkonsentrasjoner i de øvre vannmasser vinter og vår og for de løste næringssaltene også tildels sommeren og høsten. C/N-forholdet i stortare fra Sørlandskysten var meget høyt og kan indikere næringsbegrenset algevekst på Sørlandskysten sommeren 1996. Utbredelse og forekomst av fastsittende alger var generelt sett noe redusert i 1996 i forhold til 1995 og mer lik hva som ble funnet i 1993/94. Variasjonene kan sees i sammenheng med vinter/vår temperaturene. Fortsatt tilvekst av tareskog i Skagerrak gjør stasjonene mer homogene. Forekomst av organismer på bløt- og hardbunn viste en normal øst-vest gradient, med økende artsantall og diversitet mot vest. Bløtbunnsfaunaen viste ingen større endringer fra 1995 til 1996. For enkelte stasjoner ble det funnet en nedgang i individtall, mens det ble funnet en økning for andre stasjoner, uten at det er noen klar årsakssammenheng eller tendens i variasjonene

    Effects of interatomic collisions on atom laser outcoupling

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    We present a computational approach to the outcoupling in a simple one-dimensional atom laser model, the objective being to circumvent mathematical difficulties arising from the breakdown of the Born and Markov approximations. The approach relies on the discretization of the continuum representing the reservoir of output modes, which allows the treatment of arbitrary forms of outcoupling as well as the incorporation of non-linear terms in the Hamiltonian, associated with interatomic collisions. By considering a single-mode trapped condensate, we study the influence of elastic collisions between trapped and free atoms on the quasi steady-state population of the trap, as well as the energy distribution and the coherence of the outcoupled atoms.Comment: 25 pages, 11 figures, to appear in J. Phys.

    Rupture of multiple parallel molecular bonds under dynamic loading

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    Biological adhesion often involves several pairs of specific receptor-ligand molecules. Using rate equations, we study theoretically the rupture of such multiple parallel bonds under dynamic loading assisted by thermal activation. For a simple generic type of cooperativity, both the rupture time and force exhibit several different scaling regimes. The dependence of the rupture force on the number of bonds is predicted to be either linear, like a square root or logarithmic.Comment: 8 pages, 2 figure

    Boojums and the Shapes of Domains in Monolayer Films

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    Domains in Langmuir monolayers support a texture that is the two-dimensional version of the feature known as a boojum. Such a texture has a quantifiable effect on the shape of the domain with which it is associated. The most noticeable consequence is a cusp-like feature on the domain boundary. We report the results of an experimental and theoretical investigation of the shape of a domain in a Langmuir monolayer. A further aspect of the investigation is the study of the shape of a ``bubble'' of gas-like phase in such a monolayer. This structure supports a texture having the form of an inverse boojum. The distortion of a bubble resulting from this texture is also studied. The correspondence between theory and experiment, while not perfect, indicates that a qualitative understanding of the relationship between textures and domain shapes has been achieved.Comment: replaced with published version, 10 pages, 13 figures include

    Optical Confinement of a Bose-Einstein Condensate

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    Bose-Einstein condensates of sodium atoms have been confined in an optical dipole trap using a single focused infrared laser beam. This eliminates the restrictions of magnetic traps for further studies of atom lasers and Bose-Einstein condensates. More than five million condensed atoms were transferred into the optical trap. Densities of up to 3×1015cm−33 \times 10^{15} cm^{-3} of Bose condensed atoms were obtained, allowing for a measurement of the three-body decay rate constant for sodium condensates as K3=(1.1±0.3)×10−30cm6s−1K_3 = (1.1 \pm 0.3) \times 10^{-30} cm^6 s^{-1}. At lower densities, the observed 1/e lifetime was more than 10 sec. Simultaneous confinement of Bose-Einstein condensates in several hyperfine states was demonstrated.Comment: 5 pages, 4 figure

    Path Selection for Quantum Repeater Networks

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    Quantum networks will support long-distance quantum key distribution (QKD) and distributed quantum computation, and are an active area of both experimental and theoretical research. Here, we present an analysis of topologically complex networks of quantum repeaters composed of heterogeneous links. Quantum networks have fundamental behavioral differences from classical networks; the delicacy of quantum states makes a practical path selection algorithm imperative, but classical notions of resource utilization are not directly applicable, rendering known path selection mechanisms inadequate. To adapt Dijkstra's algorithm for quantum repeater networks that generate entangled Bell pairs, we quantify the key differences and define a link cost metric, seconds per Bell pair of a particular fidelity, where a single Bell pair is the resource consumed to perform one quantum teleportation. Simulations that include both the physical interactions and the extensive classical messaging confirm that Dijkstra's algorithm works well in a quantum context. Simulating about three hundred heterogeneous paths, comparing our path cost and the total work along the path gives a coefficient of determination of 0.88 or better.Comment: 12 pages, 8 figure
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