11 research outputs found
Making, probing and understanding Bose-Einstein condensates
Contribution to the proceedings of the 1998 Enrico Fermi summer school on
Bose-Einstein condensation in Varenna, Italy.Comment: Long review paper with ~90 pages, ~20 figures. 2 GIF figures in
separate files (4/5/99 fixed figure
Atomic wave packet dynamics in finite time-dependent optical lattices
Atomic wave packets in optical lattices which are both spatially finite and
time-dependent exhibit many striking similarities with light pulses in photonic
crystals. We analytically characterize the transmission properties of such a
potential geometry for an ideal gas in terms of a position-dependent band
structure. In particular, we find that at specific energies, wave packets at
the center of the finite lattice may be enclosed by pairs of band gaps. These
act as mirrors between which the atomic wave packet is reflected, thereby
effectively yielding a matter wave cavity. We show that long trapping times may
be obtained in such a resonator and investigate the collapse and revival
dynamics of the atomic wave packet by numerical evaluation of the Schr\"odinger
equation
Spin squeezing, entanglement and quantum metrology with Bose-Einstein condensates
Squeezed states, a special kind of entangled states, are known as a useful
resource for quantum metrology. In interferometric sensors they allow to
overcome the "classical" projection noise limit stemming from the independent
nature of the individual photons or atoms within the interferometer. Motivated
by the potential impact on metrology as wells as by fundamental questions in
the context of entanglement, a lot of theoretical and experimental effort has
been made to study squeezed states. The first squeezed states useful for
quantum enhanced metrology have been proposed and generated in quantum optics,
where the squeezed variables are the coherences of the light field. In this
tutorial we focus on spin squeezing in atomic systems. We give an introduction
to its concepts and discuss its generation in Bose-Einstein condensates. We
discuss in detail the experimental requirements necessary for the generation
and direct detection of coherent spin squeezing. Two exemplary experiments
demonstrating adiabatically prepared spin squeezing based on motional degrees
of freedom and diabatically realized spin squeezing based on internal hyperfine
degrees of freedom are discussed.Comment: Phd tutorial, 23 pages, 17 figure
Calorimetry of Bose-Einstein condensates
We outline a practical scheme for measuring the thermodynamic properties of a
Bose-Einstein condensate as a function of internal energy. We propose using
Bragg scattering and controlled trap manipulations to impart a precise amount
of energy to a near zero temperature condensate. After thermalisation the
temperature can be measured using standard techniques to determine the state
equation . Our analysis accounts for interaction effects and the
excitation of constants of motion which restrict the energy available for
thermalisation.Comment: 6 pages, 1 figure. Updated to published versio
Extracting density-density correlations from in situ images of atomic quantum gases
We present a complete recipe to extract the density-density correlations and
the static structure factor of a two-dimensional (2D) atomic quantum gas from
in situ imaging. Using images of non-interacting thermal gases, we characterize
and remove the systematic contributions of imaging aberrations to the measured
density-density correlations of atomic samples. We determine the static
structure factor and report results on weakly interacting 2D Bose gases, as
well as strongly interacting gases in a 2D optical lattice. In the strongly
interacting regime, we observe a strong suppression of the static structure
factor at long wavelengths.Comment: 15 pages, 5 figure
Versatile transporter apparatus for experiments with optically trapped Bose-Einstein condensates
We describe a versatile and simple scheme for producing magnetically and
optically-trapped Rb-87 Bose-Einstein condensates, based on a moving-coil
transporter apparatus. The apparatus features a TOP trap that incorporates the
movable quadrupole coils used for magneto-optical trapping and long-distance
magnetic transport of atomic clouds. As a stand-alone device, this trap allows
for the stable production of condensates containing up to one million atoms. In
combination with an optical dipole trap, the TOP trap acts as a funnel for
efficient loading, after which the quadrupole coils can be retracted, thereby
maximizing optical access. The robustness of this scheme is illustrated by
realizing the superfluid-to-Mott insulator transition in a three-dimensional
optical lattice
Free-fall expansion of finite-temperature Bose-Einstein condensed gas in the non Thomas-Fermi regime
We report on our study of the free-fall expansion of a finite-temperature
Bose-Einstein condensed cloud of 87Rb. The experiments are performed with a
variable total number of atoms while keeping constant the number of atoms in
the condensate. The results provide evidence that the BEC dynamics depends on
the interaction with thermal fraction. In particular, they provide experimental
evidence that thermal cloud compresses the condensate.Comment: 8 pages, 4 figure
One-particle dynamical correlations in the one-dimensional Bose gas
The momentum- and frequency-dependent one-body correlation function of the
one-dimensional interacting Bose gas (Lieb-Liniger model) in the repulsive
regime is studied using the Algebraic Bethe Ansatz and numerics. We first
provide a determinant representation for the field form factor which is
well-adapted to numerical evaluation. The correlation function is then
reconstructed to high accuracy for systems with finite but large numbers of
particles, for a wide range of values of the interaction parameter. Our results
are extensively discussed, in particular their specialization to the static
case.Comment: 19 Pages, 7 figure
Dynamics of the attractive 1D Bose gas: analytical treatment from integrability
The physics of the attractive one-dimensional Bose gas (Lieb-Liniger model)
is investigated with techniques based on the integrability of the system.
Combining a knowledge of particle quasi-momenta to exponential precision in the
system size with determinant representations of matrix elements of local
operators coming from the Algebraic Bethe Ansatz, we obtain rather general
analytical results for the zero-temperature dynamical correlation functions of
the density and field operators. Our results thus provide quantitative
predictions for possible future experiments in atomic gases or optical
waveguides.Comment: 26 pages, 5 figure
Physics with Coherent Matter Waves
This review discusses progress in the new field of coherent matter waves, in
particular with respect to Bose-Einstein condensates. We give a short
introduction to Bose-Einstein condensation and the theoretical description of
the condensate wavefunction. We concentrate on the coherence properties of this
new type of matter wave as a basis for fundamental physics and applications.
The main part of this review treats various measurements and concepts in the
physics with coherent matter waves. In particular we present phase manipulation
methods, atom lasers, nonlinear atom optics, optical elements, interferometry
and physics in optical lattices. We give an overview of the state of the art in
the respective fields and discuss achievements and challenges for the future