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Suppression of Zeeman Relaxation in Cold Collisions of Atoms
We present a combined experimental and theoretical study of angular momentum depolarization in cold collisions of atoms in the presence of an external magnetic field. We show that collision-induced Zeeman relaxation of Ga and In atoms in cold He gas is dramatically suppressed compared to atoms in states. Using rigorous quantum-scattering calculations based on ab initio interaction potentials, we demonstrate that Zeeman transitions in collisions of atoms in electronic states occur via couplings to the state induced by the anisotropy of the interaction potential. Our results suggest the feasibility of sympatheticthetic cooling and magnetic trapping of -state atoms, such as halogens, thereby opening up exciting areas of research in precision spectroscopy and cold-controlled chemistry.Physic
Molecular vibration in cold collision theory
Cold collisions of ground state oxygen molecules with Helium have been
investigated in a wide range of cold collision energies (from 1 K up to 10
K) treating the oxygen molecule first as a rigid rotor and then introducing the
vibrational degree of freedom. The comparison between the two models shows that
at low energies the rigid rotor approximation is very accurate and able to
describe all the dynamical features of the system. The comparison between the
two models has also been extended to cases where the interaction potential He -
O is made artificially stronger. In this case vibration can perturb rate
constants, but fine-tuning the rigid rotor potential can alleviate the
discrepancies between the two models.Comment: 11 pages, 3 figure
Normal Forms for Symplectic Maps with Twist Singularities
We derive a normal form for a near-integrable, four-dimensional symplectic
map with a fold or cusp singularity in its frequency mapping. The normal form
is obtained for when the frequency is near a resonance and the mapping is
approximately given by the time- mapping of a two-degree-of freedom
Hamiltonian flow. Consequently there is an energy-like invariant. The fold
Hamiltonian is similar to the well-studied, one-degree-of freedom case but is
essentially nonintegrable when the direction of the singular curve in action
does not coincide with curves of the resonance module. We show that many
familiar features, such as multiple island chains and reconnecting invariant
manifolds, are retained even in this case. The cusp Hamiltonian has an
essential coupling between its two degrees of freedom even when the singular
set is aligned with the resonance module. Using averaging, we approximately
reduced this case to one degree of freedom as well. The resulting Hamiltonian
and its perturbation with small cusp-angle is analyzed in detail.Comment: LaTex, 27 pages, 21 figure
Bose-Einstein condensation with magnetic dipole-dipole forces
Ground-state solutions in a dilute gas interacting via contact and magnetic
dipole-dipole forces are investigated. To the best of our knowledge, it is the
first example of studies of the Bose-Einstein condensation in a system with
realistic long-range interactions. We find that for the magnetic moment of e.g.
chromium and a typical value of the scattering length all solutions are stable
and only differ in size from condensates without long-range interactions. By
lowering the value of the scattering length we find a region of unstable
solutions. In the neighborhood of this region the ground state wavefunctions
show internal structures not seen before in condensates. Finally, we find an
analytic estimate for the characteristic length appearing in these solutions.Comment: final version, 4 pages, 4 figure
Design of photonic crystal microcavities for cavity QED
We discuss the optimization of optical microcavity designs based on 2D
photonic crystals for the purpose of strong coupling between the cavity field
and a single neutral atom trapped within a hole. We present numerical
predictions for the quality factors and mode volumes of localized defect modes
as a function of geometric parameters, and discuss some experimental challenges
related to the coupling of a defect cavity to gas-phase atoms.Comment: 12 pages, 16 figure
Rotational Cooling of Polar Molecules by Stark-tuned Cavity Resonance
A general scheme for rotational cooling of diatomic heteronuclear molecules
is proposed. It uses a superconducting microwave cavity to enhance the
spontaneous decay via Purcell effect. Rotational cooling can be induced by
sequentially tuning each rotational transition to cavity resonance, starting
from the highest transition level to the lowest using an electric field.
Electrostatic multipoles can be used to provide large confinement volume with
essentially homogeneous background electric field.Comment: 10 pages, 6 figure
A continuous source of translationally cold dipolar molecules
The Stark interaction of polar molecules with an inhomogeneous electric field
is exploited to select slow molecules from a room-temperature reservoir and
guide them into an ultrahigh vacuum chamber. A linear electrostatic quadrupole
with a curved section selects molecules with small transverse and longitudinal
velocities. The source is tested with formaldehyde (H2CO) and deuterated
ammonia (ND3). With H2CO a continuous flux is measured of approximately 10^9/s
and a longitudinal temperature of a few K. The data are compared with the
result of a Monte Carlo simulation.Comment: 4 pages, 4 figures v2: small changes in the abstract, text and
references. Figures 1 & 2 regenerated to prevent errors in the pd
Ground state and elementary excitations of single and binary Bose-Einstein condensates of trapped dipolar gases
We analyze the ground-state properties and the excitation spectrum of
Bose-Einstein condensates of trapped dipolar particles. First, we consider the
case of a single-component polarized dipolar gas. For this case we discuss the
influence of the trapping geometry on the stability of the condensate as well
as the effects of the dipole-dipole interaction on the excitation spectrum. We
discuss also the ground state and excitations of a gas composed of two
antiparallel dipolar components.Comment: 12 pages, 9 eps figures, final versio
Surface Effects in Magnetic Microtraps
We have investigated Bose-Einstein condensates and ultra cold atoms in the
vicinity of a surface of a magnetic microtrap. The atoms are prepared along
copper conductors at distances to the surface between 300 um and 20 um. In this
range, the lifetime decreases from 20 s to 0.7 s showing a linear dependence on
the distance to the surface. The atoms manifest a weak thermal coupling to the
surface, with measured heating rates remaining below 500 nK/s. In addition, we
observe a periodic fragmentation of the condensate and thermal clouds when the
surface is approached.Comment: 4 pages, 4 figures; v2: corrected references; v3: final versio
Meson model for f_0(980) production in peripheral pion-nucleon reactions
The Juelich model for pion-pion-scattering, based on an effective meson-meson
Lagrangian is applied to the analysis of the S-wave production amplitudes
derived from the BNL E852 experiment pi^- p -> pi^0 pi^0 n for a pion momentum
of 18.3 GeV. The unexpected strong dependence of the S-wave partial wave
amplitude on the momentum transfer between the proton and neutron in the
vicinity of the f_0(980) resonance is explained in our analysis as interference
effect between the correlated and uncorrelated pi^0 pi^0 pairs.Comment: 6 pages, 7 figures, formulas added, typos removed, new figure
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