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In Reverse Chronological Order: 2008,
2007...
BEC in
optical lattices
Diffraction
pattern of atoms perturbed by an optical lattice. In this experiment,
we suddenly flash on a deep 2D optical lattice right after releasing
the atoms in free space. The lattice imprints a variation in the
condensate density and wavefunction phase which populates momentum
classes at multiples of the "lattice recoil momentum" determined by the
wavelength of the light and the mass of the atoms.

The time-of-flight (TOF) absorption images above are taken at various
stages in our evaporative cooling path. The TOF expansion time is 70
ms. During the first 64 ms, atoms are levitated with an external field
gradient of 31.5 G/cm, followed by a 6 ms free fall. In the first two
pictures, atoms are still thermal with a Gaussian momentum
distribution. In the later pictures, bimodality is seen, showing the
phase transition into a Bose-Einstein condensate.
We employ
a novel evaporative cooling scheme realized by tilting the dipole trap.
The idea is shown in (a). Trap depth U decreases with time when a
magnetic field gradient is applied to the atoms. In (b), we show the
magnetic field gradient B'(t) levitates the atoms against gravity and
evaporate hot atoms upward.
Performance
of our new trap-tilting based forced evaporation.
(a) phase space density,
(b) collision rate, and
(c) particle number
are shown during the evaporation process.
We adopt two evaporation paths:
an efficient, 4 s path (black dots) and
a fast, 1.8 s path (red circles).
The dashed line in (a) shows simple
exponential increase. Our 4 s path outperforms the dashed line, which,
together with the increasing collision rate, demonstrate the first
runaway evaporative cooling of cold atoms in an optical trap.
We
compare the performance of our new evaporation cooling scheme with
theoretical models. For all models, we assume an initial collision rate
of 133/s and truncation parameter of 6.2~6.8 and negligible collision
loss. This set of parameters best simulates our experiment condition.
The performance of our experiment (black dot) is very close to the
tilted trap model we formulate assuming 3 dimensional evaporation. Note
that all 1D models cannot explain the fast evaporation speed we observe.
Dipole
trapping
Our
dipole trap is formed by intersecting two laser beams on the horizontal
(x-y) plane; both beams are extracted from a single-mode, single
frequency Yb fiber laser operating at the wavelength of 1064 nm,
frequency offset by 80 MHz, focused to a beam diameter of 540 micron
(620 micron) and intensity of 1.9 W (1.6 W) in the y-(x-) direction.
Optical
cooling: Molasses and Degenerate Raman Sideband Cooling
Here are
three snapshots of ultracold atoms, the yellowish blobs in the images,
when they are released in free space. In free space, two things happen:
atoms drop downward due to gravity and also expand due to their finite
temperature. Here atoms are about 5 micro-Kelvin, after optical
molasses cooling.
Using
degenerate Raman-sideband cooling, we achieved a much lower
temperature. In this figure, we show that the atoms hardly expand
within the free fall time of 25 ms. The temperature of these atoms is
470nK. The fine fringes are due to imperfection of our imaging system,
which we have fixed now.
Bose-Einstein Condensation of Atomic Cesium
In the same sense that the laser has become a
fundamental tool in nonlinear and quantum optics, Bose-Einstein
condensation as a source of coherent atoms serves as the starting point
for many studies of interacting atomic quantum gases. Bose-condensation
of atomic cesium is particularly useful as a first step in studying
strongly interacting gases, molecular condensation, few-body
interactions, and condensed-matter analog systems showing quantum
coherence. At the same time, cesium remained for many years a
challenging atom to condense. Our group was the second to achieve this
milestone, following the pioneering work achieved in the group of R.
Grimm in Innsbruck. Our apparatus is described below.
Chamber Design

The main trapping chamber, on the left side, contains seven 1 1/3"
viewports, eight 2 3/4" viewports (six coated for 670~1064 nm light and
two ZnSe for 10.6 um) and two 1.77" viewports in the vertical
direction. The upper right part of the chamber is the Zeemann slower
and the bottom part the main ion pump and the TSP. A special feature of
our design is the recessed top and bottom windows, each 1/2" from the
atoms, to permit excellent optical access.
Questions? Feel free to email us.

This photo is taken in the same viewing angle as shown above. Inside
the aluminum foil (shimmering mess) on the right side is the atomic
source oven at 70 degree C and a differential pumping tube at 0 degree
C. On the left side, the chamber is surrounded by optical components
for laser cooling and trapping atoms. The thick orange cables on the
optical table supply current for generating magnetic fields.
Questions? Feel free to email us.
Interactions
between ultracold cesium atoms
Ultracold atomic cesium offers a rich opportunity to
study interacting, quantum degenerate atomic gasses in controlled and
varied ways. Much of this flexibility is afforded by its rich spectrum
of collisional Feshbach resonances as an external magnetic field is
tuned; near each resonance the effective interaction strength between
atoms at long range undergoes rapid variation. This is due to a
resonant coupling between free atoms undergoing a collision to
molecular bound states of atoms with different internal states.
This effect is best understood by the variation of the scattering
length characterizing interactions. When the scattering length is
positive, long-range interaction between atoms is effectively
repulsive. This naturally effects the physics of an interacting gas of
many particles dramatically. Positive (repulsive) scattering length,
for example, is a necessary condition for a stable Bose-Einstein
condensate. When the scattering length is negative, atomic interaction
is attractive.
The plot below shows the scattering length of
cold Cesium atoms as a function of an applied external magnetic field.
Cesium atoms have a large number of Feshbach resonances due to their
large relativistic indirect spin-spin interactions. (This calculation
is based on code developed by E. Tiesinga and P. Julienne at NIST.)
Questions? Feel free to email us.
Experiment
goals and proposal: Click here.
Group
members
Graduate student:
Chen-Lung Hung
Graduate student: Xibo Zhang
Postdoctoral fellow: Nathan Gemelke
Assistant professor: Cheng Chin
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