119 research outputs found
Dynamics of matter-wave and optical fields in superradiant scattering from Bose-Einstein condensates
We study superradiant scattering off Bose-Einstein condensates by solving the
semiclassical Maxwell-Schroedinger equations describing the coupled dynamics of
matter-wave and optical fields. Taking the spatial dependence of these fields
along the condensate axis into account, we are able to reproduce and explain
many of the characteristic features observed in the experiments of Inouye et
al. [Science 285, 571 (1999)] and Schneble et al. [Science 300, 475 (2003)],
such as the shape of the atomic side-mode distributions for forward and
backward scattering, the spatial asymmetry between forward and backward side
modes, and the depletion of the condensate center observed for forward
scattering.Comment: 4 pages, 2 figure
Correlated directional atomic clouds via four-heterowave mixing
We investigate the coherence properties of pairs of counter-propagating
atomic clouds, produced in superradiant Rayleigh scattering off atomic
condensates. It is shown that these clouds exhibit long-range spatial coherence
and strong nonclassical density cross-correlations, which make this scheme a
promising candidate for the production of highly directional nonclassically
correlated atomic pulses.Comment: 12 pages, 3 figure
Condensation temperature of interacting Bose gases with and without disorder
The momentum-shell renormalization group (RG) is used to study the
condensation of interacting Bose gases without and with disorder. First of all,
for the homogeneous disorder-free Bose gas the interaction-induced shifts in
the critical temperature and chemical potential are determined up to second
order in the scattering length. The approach does not make use of dimensional
reduction and is thus independent of previous derivations. Secondly, the RG is
used together with the replica method to study the interacting Bose gas with
delta-correlated disorder. The flow equations are derived and found to reduce,
in the high-temperature limit, to the RG equations of the classical
Landau-Ginzburg model with random-exchange defects. The random fixed point is
used to calculate the condensation temperature under the combined influence of
particle interactions and disorder.Comment: 7 pages, 2 figure
Early Stage of Superradiance from Bose-Einstein Condensates
We investigate the dynamics of matter and optical waves at the early stage of
superradiant Rayleigh scattering from Bose-Einstein Condensates. Our analysis
is within a spatially dependent quantum model which is capable of providing
analytic solutions for the operators of interest. The predictions of the
present model are compared to the predictions of a closely related mean field
model, and we provide a procedure that allows one to calculate quantum
expectation values by averaging over semiclassical solutions. The coherence
properties of the outgoing scattered light are also analyzed, and it is shown
that the corresponding correlation functions may provide detailed information
about the internal dynamics of the system.Comment: 27 pages, 8 figure
Spatial effects in superradiant Rayleigh scattering from Bose-Einstein condensates
We present a detailed theoretical analysis of superradiant Rayleigh
scattering from atomic Bose-Einstein condensates. A thorough investigation of
the spatially resolved time-evolution of optical and matter-wave fields is
performed in the framework of the semiclassical Maxwell-Schroedinger equations.
Our theory is not only able to explain many of the known experimental
observations, e.g., the behavior of the atomic side-mode distributions, but
also provides further detailed insights into the coupled dynamics of optical
and matter-wave fields. To work out the significance of propagation effects, we
compare our results to other theoretical models in which these effects are
neglected.Comment: 14 pages, 13 figure
Passage-time statistics of superradiant light pulses from Bose-Einstein condensates
We discuss the passage-time statistics of superradiant light pulses generated
during the scattering of laser light from an elongated atomic Bose-Einstein
condensate. Focusing on the early-stage of the phenomenon, we analyze the
corresponding probability distributions and their scaling behaviour with
respect to the threshold photon number and the coupling strength. With respect
to these parameters, we find quantities which only vary significantly during
the transition between the Kapitza Dirac and the Bragg regimes. A possible
connection of the present observations to Brownian motion is also discussed.Comment: Close to the version published in J. Phys.
Atom trapping and two-dimensional Bose-Einstein condensates in field-induced adiabatic potentials
We discuss a method to create two-dimensional traps as well as atomic shell,
or bubble, states for a Bose-Einstein condensate initially prepared in a
conventional magnetic trap. The scheme relies on the use of time-dependent,
radio frequency-induced adiabatic potentials. These are shown to form a
versatile and robust tool to generate novel trapping potentials. Our shell
states take the form of thin, highly stable matter-wave bubbles and can serve
as stepping-stones to prepare atoms in highly-excited trap eigenstates or to
study `collapse and revival phenomena'. Their creation requires gravitational
effects to be compensated by applying additional optical dipole potentials.
However, in our scheme gravitation can also be exploited to provide a route to
two-dimensional atom trapping. We demonstrate the loading process for such a
trap and examine experimental conditions under which a 2D condensate may be
prepared.Comment: 16 pages, 10 figure
Nonperturbative Effects on T_c of Interacting Bose Gases in Power-Law Traps
The critical temperature T_c of an interacting Bose gas trapped in a general
power-law potential V(x)=\sum_i U_i|x_i|^{p_i} is calculated with the help of
variational perturbation theory. It is shown that the interaction-induced shift
in T_c fulfills the relation (T_c-T_c^0)/T_c^0= D_1(eta)a + D'(eta)a^{2 eta}+
O(a^2) with T_c^0 the critical temperature of the trapped ideal gas, a the
s-wave scattering length divided by the thermal wavelength at T_c, and
eta=1/2+\sum_i 1/p_i the potential-shape parameter. The terms D_1(eta)a and
D'(eta) a^{2 eta} describe the leading-order perturbative and nonperturbative
contributions to the critical temperature, respectively. This result
quantitatively shows how an increasingly inhomogeneous potential suppresses the
influence of critical fluctuations. The appearance of the a^{2 eta}
contribution is qualitatively explained in terms of the Ginzburg criterion.Comment: Author Information under
http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of
paper (including all PS fonts) at
http://www.physik.fu-berlin.de/~kleinert/35
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