2,551 research outputs found
Correlated hopping of bosonic atoms induced by optical lattices
In this work we analyze a particular setup with ultracold atoms trapped in
state-dependent lattices. We show that any asymmetry in the contact interaction
translates into one of two classes of correlated hopping. After deriving the
effective lattice Hamiltonian for the atoms, we obtain analytically and
numerically the different phases and quantum phase transitions. We find for
weak correlated hopping both Mott insulators and charge density waves, while
for stronger correlated hopping the system transitions into a pair superfluid.
We demonstrate that this phase exists for a wide range of interaction
asymmetries and has interesting correlation properties that differentiate it
from an ordinary atomic Bose-Einstein condensate.Comment: 24 pages with 9 figures, to appear in New Journal of Physic
Quantum computation with unknown parameters
We show how it is possible to realize quantum computations on a system in
which most of the parameters are practically unknown. We illustrate our results
with a novel implementation of a quantum computer by means of bosonic atoms in
an optical lattice. In particular we show how a universal set of gates can be
carried out even if the number of atoms per site is uncertain.Comment: 3 figure
On the shape of vortices for a rotating Bose Einstein condensate
For a Bose-Einstein condensate placed in a rotating trap, we study the
simplified energy of a vortex line derived in Aftalion-Riviere Phys. Rev. A 64,
043611 (2001) in order to determine the shape of the vortex line according to
the rotational velocity and the elongation of the condensate. The energy
reflects the competition between the length of the vortex which needs to be
minimized taking into account the anisotropy of the trap and the rotation term
which pushes the vortex along the z axis. We prove that if the condensate has
the shape of a pancake, the vortex stays straight along the z axis while in the
case of a cigar, the vortex is bent
Trains, tails and loops of partially adsorbed semi-flexible filaments
Polymer adsorption is a fundamental problem in statistical mechanics that has
direct relevance to diverse disciplines ranging from biological lubrication to
stability of colloidal suspensions. We combine experiments with computer
simulations to investigate depletion induced adsorption of semi-flexible
polymers onto a hard-wall. Three dimensional filament configurations of
partially adsorbed F-actin polymers are visualized with total internal
reflection fluorescence microscopy. This information is used to determine the
location of the adsorption/desorption transition and extract the statistics of
trains, tails and loops of partially adsorbed filament configurations. In
contrast to long flexible filaments which primarily desorb by the formation of
loops, the desorption of stiff, finite-sized filaments is largely driven by
fluctuating filament tails. Simulations quantitatively reproduce our
experimental data and allow us to extract universal laws that explain scaling
of the adsorption-desorption transition with relevant microscopic parameters.
Our results demonstrate how the adhesion strength, filament stiffness, length,
as well as the configurational space accessible to the desorbed filament can be
used to design the characteristics of filament adsorption and thus engineer
properties of composite biopolymeric materials
Split vortices in optically coupled Bose-Einstein condensates
We study a rotating two-component Bose-Einstein condensate in which an
optically induced Josephson coupling allows for population transfer between the
two species. In a regime where separation of species is favored, the ground
state of the rotating system displays domain walls with velocity fields normal
to them. Such a configuration looks like a vortex split into two halves, with
atoms circulating around the vortex and changing their internal state in a
continuous way.Comment: 4 EPS pictures, 4 pages; Some errata have been corrected and thep
resentation has been slightly revise
Three-dimensional vortex configurations in a rotating Bose Einstein condensate
We consider a rotating Bose-Einstein condensate in a harmonic trap and
investigate numerically the behavior of the wave function which solves the
Gross Pitaevskii equation. Following recent experiments [Rosenbuch et al, Phys.
Rev. Lett., 89, 200403 (2002)], we study in detail the line of a single
quantized vortex, which has a U or S shape. We find that a single vortex can
lie only in the x-z or y-z plane. S type vortices exist for all values of the
angular velocity Omega while U vortices exist for Omega sufficiently large. We
compute the energy of the various configurations with several vortices and
study the three-dimensional structure of vortices
Mesoscale simulations of polymer dynamics in microchannel flows
The non-equilibrium structural and dynamical properties of flexible polymers
confined in a square microchannel and exposed to a Poiseuille flow are
investigated by mesoscale simulations. The chain length and the flow strength
are systematically varied. Two transport regimes are identified, corresponding
to weak and strong confinement. For strong confinement, the transport
properties are independent of polymer length. The analysis of the long-time
tumbling dynamics of short polymers yields non-periodic motion with a sublinear
dependence on the flow strength. We find distinct differences for
conformational as well as dynamical properties from results obtained for simple
shear flow
- …