45 research outputs found
Generating vortex rings in Bose-Einstein condensates in the line-source approximation
We present a numerical method for generating vortex rings in Bose-Einstein
condensates confined in axially symmetric traps. The vortex ring is generated
using the line-source approximation for the vorticity, i.e., the rotational of
the superfluid velocity field is different from zero only on a circumference of
given radius located on a plane perpendicular to the symmetry axis and coaxial
with it. The particle density is obtained by solving a modified
Gross-Pitaevskii equation that incorporates the effect of the velocity field.
We discuss the appearance of density profiles, the vortex core structure and
the vortex nucleation energy, i.e., the energy difference between vortical and
ground-state configurations. This is used to present a qualitative description
of the vortex dynamics.Comment: Accepted for publication in Phys. Rev.
Experimental properties of Bose-Einstein condensates in 1D optical lattices: Bloch oscillations, Landau-Zener tunneling and mean-field effects
We report experimental results on the properties of Bose-Einstein condensates
in 1D optical lattices. By accelerating the lattice, we observed Bloch
oscillations of the condensate in the lowest band, as well as Landau-Zener
(L-Z) tunneling into higher bands when the lattice depth was reduced and/or the
acceleration of the lattice was increased. The dependence of the L-Z tunneling
rate on the condensate density was then related to mean-field effects modifying
the effective potential acting on the condensate, yielding good agreement with
recent theoretical work. We also present several methods for measuring the
lattice depth and discuss the effects of the micromotion in the TOP-trap on our
experimental results.Comment: 11 pages, 14 figure
Rotating spin-1 bosons in the lowest Landau level
We present results for the ground states of a system of spin-1 bosons in a
rotating trap. We focus on the dilute, weakly interacting regime, and restrict
the bosons to the quantum states in the lowest Landau level (LLL) in the plane
(disc), sphere or torus geometries. We map out parts of the zero temperature
phase diagram, using both exact quantum ground states and LLL mean field
configurations. For the case of a spin-independent interaction we present exact
quantum ground states at angular momentum . For general values of the
interaction parameters, we present mean field studies of general ground states
at slow rotation and of lattices of vortices and skyrmions at higher rotation
rates. Finally, we discuss quantum Hall liquid states at ultra-high rotation.Comment: 24 pages, 14 figures, RevTe
Bose-Einstein condensates in atomic gases: simple theoretical results
These notes present simple theoretical approaches to study Bose-Einstein
condensation in trapped atomic gases and their comparison to recent
experimental results : - the ideal Bose gas model - Fermi pseudopotential to
model the atomic interaction potential - finite temperature Hartree-Fock
approximation - Gross-Pitaevskii equation for the condensate wavefunction -
what we learn from a linearization of the Gross-Pitaevskii equation -
Bogoliubov approach and thermodynamical stability - phase coherence properties
of Bose-Einstein condensates - symmetry breaking description of condensatesComment: 146 pages, 17 figures, Lecture Notes of Les Houches Summer School
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Experimental parameters for 'Modeling Dragons'; a NicheMapper modeling project.
These are experimental parameters, by experimental run, for dinosaur taxa included in the 'Modeling Dragon's research project using NicheMapper modeling software. R code is included as well
Free software production as critical social practice
This paper analyses the phenomenon of free and open source software (FOSS) in the light of Luc Boltanski and Ăve Chiapello's The new spirit of capitalism. It argues that collaborative FOSS production by volunteer software developers is a species of critical social practice in Boltanski and Chiapello's sense: rooted in resistance to capitalist social relations, and yet also a source of values that justify the new routes to profitability associated with contemporary network capitalism. Advanced via collective projects that are sustained by hacker norms and privately legislated âcopyleftâ law, the FOSS ethos is apparently antithetical to private property-based accumulation. Yet it can be shown to embody the ânew spirit of capitalismâ in its most distilled form; moreover FOSS developers have instituted new forms of property and new modes of profit creation around software that are in the process of being adapted for use in other economic sectors. Meanwhile, the private law constraints on profit-seeking that have emerged from the FOSS movement are counteracting some of the social pathologies that accompany network capitalism only to consolidate others. The paper concludes by identifying likely bases for a renewal of critique given these realities