635 research outputs found
Reentrant transition of bosons in a quasiperiodic potential
We investigate the behavior of a two dimensional array of Bose-Einstein
condensate tubes described by means of a Bose-Hubbard Hamiltonian. Using a
Wannier function expansion for the wavefunction in each tube, we compute the
Bose-Hubbard parameters related to two different longitudinal potentials,
periodic and quasiperiodic. We predict that - upon increasing the external
potential strength along the direction of the tubes - the condensate can
experience a reentrant transition between a Mott insulating phase and the
superfluid one.Comment: Accepted for publication in EP
Radiative collisional heating at the Doppler limit for laser-cooled magnesium atoms
We report Monte Carlo wave function simulation results on cold collisions
between magnesium atoms in a strong red-detuned laser field. This is the normal
situation e.g. in magneto-optical traps (MOT). The Doppler limit heating rate
due to radiative collisions is calculated for Mg-24 atoms in a magneto-optical
trap based on the singlet S_0 - singlet P_1 atomic laser cooling transition. We
find that radiative heating does not seem to affect the Doppler limit in this
case. We also describe a channelling mechanism due to the missing Q branch in
the excitation scheme, which could lead to a suppression of inelastic
collisions, and find that this mechanism is not present in our simulation
results due to the multistate character of the excitation process.Comment: 4 pages, RevTeX 4; v2 contains minor revisions based on referee
comments (5 pages
Turbulence in Binary Bose-Einstein Condensates Generated by Highly Non-Linear Rayleigh-Taylor and Kelvin-Helmholtz Instabilities
Quantum turbulence (QT) generated by the Rayleigh-Taylor instability in
binary immiscible ultracold 87Rb atoms at zero temperature is studied
theoretically. We show that the quantum vortex tangle is qualitatively
different from previously considered superfluids, which reveals deep relations
between QT and classical turbulence. The present QT may be generated at
arbitrarily small Mach numbers, which is a unique property not found in
previously studied superfluids. By numerical solution of the coupled
Gross-Pitaevskii equations we find that the Kolmogorov scaling law holds for
the incompressible kinetic energy. We demonstrate that the phenomenon may be
observed in the laboratory.Comment: Revised version. 7 pages, 8 figure
Rotating states for trapped bosons in an optical lattice
Rotational states for trapped bosons in an optical lattice are studied in the
framework of the Hubbard model. Critical frequencies are calculated and the
main parameter regimes are identified. Transitions are observed from edge
superfluids to vortex lattices with Mott insulating cores, and subsequently to
lattices of interstitial vortices. The former transition coincides with the
Mott transition. Changes in symmetry of the vortex lattices are observed as a
function of lattice depth. Predictions for experimental signatures are
presented.Comment: 6 pages, 6 figures, accepted for publication in EP
Stability of the solutions of the Gross-Pitaevskii equation
We examine the static and dynamic stability of the solutions of the
Gross-Pitaevskii equation and demonstrate the intimate connection between them.
All salient features related to dynamic stability are reflected systematically
in static properties. We find, for example, the obvious result that static
stability always implies dynamic stability and present a simple explanation of
the fact that dynamic stability can exist even in the presence of static
instability.Comment: 7 pages, 1 figur
Phases of a rotating Bose-Einstein condensate with anharmonic confinement
We examine an effectively repulsive Bose-Einstein condensate of atoms that
rotates in a quadratic-plus-quartic potential. With use of a variational method
we identify the three possible phases of the system (multiple quantization,
single quantization, and a mixed phase) as a function of the rotational
frequency of the gas and of the coupling constant. The derived phase diagram is
shown to be universal and the continuous transitions to be exact in the limit
of weak coupling and small anharmonicity. The variational results are found to
be consistent with numerical solutions of the Gross-Pitaevskii equation.Comment: 8 pages, 6 figure
Mott transition in anharmonic confinement
Two effects are identified that affect the visibility of the Mott transition
in an atomic gas in an optical lattice confined in a power-law potential. The
transition can be made more pronounced by increasing the power law, but at the
same time, experimental uncertainty in the number of particles will induce
corresponding fluctuations in the measured condensate fraction. Calculations in
two dimensions indicate that a potential slightly more flat-bottomed than a
quadratic one is to be preferred for a wide range of particle number
fluctuation size.Comment: 4 pages, 4 figure
Kelvin-Helmholtz instability in two-component Bose gases on a lattice
We explore the stability of the interface between two phase-separated Bose
gases in relative motion on a lattice. Gross-Pitaevskii-Bogoliubov theory and
the Gutzwiller ansatz are employed to study the short- and long-time stability
properties. The underlying lattice introduces effects of discreteness, broken
spatial symmetry, and strong correlations, all three of which are seen to have
considerable qualitative effects on the Kelvin-Helmholtz instability.
Discreteness is found to stabilize low flow velocities, because of the finite
energy associated with displacing the interface. Broken spatial symmetry
introduces a dependence not only on the relative flow velocity, but on the
absolute velocities. Strong correlations close to a Mott transition will stop
the Kelvin-Helmholtz instability from affecting the bulk density and creating
turbulence; instead, the instability will excite vortices with Mott-insulator
filled cores.Comment: 11 pages, 11 figure
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