1,069 research outputs found
Reversible and irreversible evolution of a condensed bosonic gas
We have formulated a kinetic theory for a condensed atomic gas in a trap,
i.e., a generalized Gross-Pitaevskii equation, as well as a quantum-Boltzmann
equation for the normal and anomalous fluctuations [R. Walser et al., Phys.
Rev. A, 59, 3878 (1999)]. In this article, the theory is applied to the case of
an isotropic configuration and we present numerical and analytical results for
the reversible real-time propagation, as well as irreversible evolution towards
equilibrium.Comment: 15 pages RevTeX, 8 figures, reviewed PRA resubmissio
Quantum Kinetic Theory for a Condensed Bosonic Gas
We present a kinetic theory for Bose-Einstein condensation of a weakly
interacting atomic gas in a trap. Starting from first principles, we establish
a Markovian kinetic description for the evolution towards equilibrium. In
particular, we obtain a set of self-consistent master equations for mean
fields, normal densities, and anomalous fluctuations. These kinetic equations
generalize the Gross-Pitaevskii mean-field equations, and merge them
consistently with a quantum-Boltzmann equation approach.Comment: 15 pages, no figures; reviewed version; to be published in PR
Sagnac Effect of Goedel's Universe
We present exact expressions for the Sagnac effect of Goedel's Universe. For
this purpose we first derive a formula for the Sagnac time delay along a
circular path in the presence of an arbitrary stationary metric in cylindrical
coordinates. We then apply this result to Goedel's metric for two different
experimental situations: First, the light source and the detector are at rest
relative to the matter generating the gravitational field. In this case we find
an expression that is formally equivalent to the familiar nonrelativistic
Sagnac time delay. Second, the light source and the detector are rotating
relative to the matter. Here we show that for a special rotation rate of the
detector the Sagnac time delay vanishes. Finally we propose a formulation of
the Sagnac time delay in terms of invariant physical quantities. We show that
this result is very close to the analogous formula of the Sagnac time delay of
a rotating coordinate system in Minkowski spacetime.Comment: 26 pages, including 4 figures, corrected typos, changed reference
Motion Tomography of a single trapped ion
A method for the experimental reconstruction of the quantum state of motion
for a single trapped ion is proposed. It is based on the measurement of the
ground state population of the trap after a sudden change of the trapping
potential. In particular, we show how the Q function and the quadrature
distribution can be measured directly. In an example we demonstrate the
principle and analyze the sensibility of the reconstruction process to
experimental uncertainties as well as to finite grid limitations. Our method is
not restricted to the Lamb-Dicke Limit and works in one or more dimensions.Comment: 4 pages, Revtex format, 4 postscript figures, changed typographical
error
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