521 research outputs found
Coherent atom-trimer conversion in a repulsive Bose-Einstein condensate
We show that the use of a generalized atom-molecule dark state permits the
enhanced coherent creation of triatomic molecules in a repulsive atomic
Bose-Einstein condensate, with further enhancement being possible in the case
of heteronuclear trimers via the constructive interference between two chemical
reaction channels.Comment: 3 figure
Quantum Noise in the Collective Abstraction Reaction A+B AB+B
We demonstrate theoretically that the collective abstraction reaction A+B AB+B can be realized efficiently with degenerate bosonic or fermionic
matter waves. We show that this is dominated by quantum fluctuations, which are
critical in triggering its initial stages with the appearance of macroscopic
non-classical correlations of the atomic and molecular fields as a result. This
study opens up a promising new regime of quantum degenerate matter-wave
chemistry.Comment: 4 pages, 3 figures, publishe
Trapping and Cooling a mirror to its quantum mechanical ground state
We propose a technique aimed at cooling a harmonically oscillating mirror to
its quantum mechanical ground state starting from room temperature. Our method,
which involves the two-sided irradiation of the vibrating mirror inside an
optical cavity, combines several advantages over the two-mirror arrangements
being used currently. For comparable parameters the three-mirror configuration
provides a stiffer trap for the oscillating mirror. Furthermore it prevents
bistability from limiting the use of higher laser powers for mirror trapping,
and also partially does so for mirror cooling. Lastly, it improves the
isolation of the mirror from classical noise so that its dynamics are perturbed
mostly by the vacuum fluctuations of the optical fields. These improvements are
expected to bring the task of achieving ground state occupation for the mirror
closer to completion.Comment: 5 pages, 1 figur
Using a Laguerre-Gaussian beam to trap and cool the rotational motion of a mirror
We show theoretically that it is possible to trap and cool the rotational
motion of a macroscopic mirror made of a perfectly reflecting spiral phase
element using orbital angular momentum transfer from a Laguerre-Gaussian
optical field. This technique offers a promising route to the placement of the
rotor in its quantum mechanical ground state in the presence of thermal noise.
It also opens up the possibility of simultaneously cooling a vibrational mode
of the same mirror. Lastly, the proposed design may serve as a sensitive
torsional balance in the quantum regime.Comment: New cavity design, reworked title; to appear in Phys. Rev. Let
A Molecular Matter-Wave Amplifier
We describe a matter-wave amplifier for vibrational ground state molecules,
which uses a Feshbach resonance to first form quasi-bound molecules starting
from an atomic Bose-Einstein condensate. The quasi-bound molecules are then
driven into their stable vibrational ground state via a two-photon Raman
transition inside an optical cavity. The transition from the quasi-bound state
to the electronically excited state is driven by a classical field.
Amplification of ground state molecules is then achieved by using a strongly
damped cavity mode for the transition from the electronically excited molecules
to the molecular ground state
Limits to phase resolution in matter wave interferometry
We study the quantum dynamics of a two-mode Bose-Einstein condensate in a
time-dependent symmetric double-well potential using analytical and numerical
methods. The effects of internal degrees of freedom on the visibility of
interference fringes during a stage of ballistic expansion are investigated
varying particle number, nonlinear interaction sign and strength as well as
tunneling coupling. Expressions for the phase resolution are derived and the
possible enhancement due to squeezing is discussed. In particular, the role of
the superfluid - Mott insulator cross-over and its analog for attractive
interactions is recognized.Comment: 10 pages, 9 figure
On the Magic Matrix by Makhlin and the B-C-H Formula in SO(4)
A closed expression to the Baker-Campbell-Hausdorff (B-C-H) formula in SO(4)
is given by making use of the magic matrix by Makhlin. As far as we know this
is the {\bf first nontrivial example} on (semi-) simple Lie groups summing up
all terms in the B-C-H expansion.Comment: Latex ; 11 pages ; 1 figure ; minor changes. To appear in
International Journal of Geometric Methods in Modern Physics (vol.4, no.5 or
6), 200
Cavity atom optics and the `free atom laser'
The trap environment in which Bose-Einstein condensates are generated and/or
stored strongly influences the way they interact with light. The situation is
analogous to cavity QED in quantum optics, except that in the present case, one
tailors the matter-wave mode density rather than the density of modes of the
optical field. Just as in QED, for short times, the atoms do not sense the trap
and propagate as in free space. After times long enough that recoiling atoms
can probe the trap environment, however, the way condensates and light fields
are mutually influenced differs significantly from the free-space situation. We
use as an example the condensate collective atomic recoil laser, which is the
atomic matter-wave analog of the free-electron laser.Comment: To be published in a special edition of Optics Communications in
honor of the 60th birthday of Marlan Scull
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