214 research outputs found
Simulation of a stationary dark soliton in a trapped zero-temperature Bose-Einstein condensate
We discuss a computational mechanism for the generation of a stationary dark
soliton, or black soliton, in a trapped Bose-Einstein condensate using the
Gross-Pitaevskii (GP) equation for both attractive and repulsive interaction.
It is demonstrated that the black soliton with a "notch" in the probability
density with a zero at the minimum is a stationary eigenstate of the GP
equation and can be efficiently generated numerically as a nonlinear
continuation of the first vibrational excitation of the GP equation in both
attractive and repulsive cases in one and three dimensions for pure harmonic as
well as harmonic plus optical-lattice traps. We also demonstrate the stability
of this scheme under different perturbing forces.Comment: 7 pages, 15 ps figures, Final version accepted in J Low Temp Phy
Quantum Depletion of an Excited Condensate
We analyze greying of the dark soliton in a Bose-Einstein condensate in the
limit of weak interaction between atoms. The condensate initially prepared in
the excited dark soliton state is loosing atoms because of spontaneous quantum
depletion. These atoms are depleted from the soliton state into single particle
states with nonzero density in the notch of the soliton. As a result the image
of the soliton is losing contrast. This quantum depletion mechanism is
efficient even at zero temperature when a thermal cloud is absent.Comment: 4 pages; version to appear in Phys.Rev.A; change in the title plus a
number of small changes in the tex
Matter wave solitons at finite temperatures
We consider the dynamics of a dark soliton in an elongated harmonically
trapped Bose-Einstein condensate. A central question concerns the behavior at
finite temperatures, where dissipation arises due to the presence of a thermal
cloud. We study this problem using coupled Gross-Pitaevskii and -body
simulations, which include the mean field coupling between the condensate and
thermal cloud. We find that the soliton decays relatively quickly even at very
low temperatures, with the decay rate increasing with rising temperature.Comment: 6 pages, 2 figures, submitted to the Proceedings of QFS '0
Nonlinear waves in a cylindrical Bose-Einstein condensate
We present a complete calculation of solitary waves propagating in a steady
state with constant velocity v along a cigar-shaped Bose-Einstein trap
approximated as infinitely-long cylindrical. For sufficiently weak couplings
(densities) the main features of the calculated solitons could be captured by
effective one-dimensional (1D) models. However, for stronger couplings of
practical interest, the relevant solitary waves are found to be hybrids of
quasi-1D solitons and 3D vortex rings. An interesting hierarchy of vortex rings
occurs as the effective coupling constant is increased through a sequence of
critical values. The energy-momentum dispersion of the above structures is
shown to exhibit characteristics similar to a mode proposed sometime ago by
Lieb within a strictly 1D model, as well as some rotonlike features.Comment: 10 pages, 12 figure
Potential and current distribution in strongly anisotropic Bi(2)Sr(2) CaCu(2)O(8) single crystals at current breakdown
Experiments on potential differences in the low-temperature vortex solid
phase of monocrystalline platelets of superconducting Bi(2)Sr(2)CaCu(2)O(8)
(BSCCO) subjected to currents driven either through an "ab" surface or from one
such surface to another show evidence of a resistive/nonresistive front moving
progressively out from the current contacts as the current increases. The depth
of the resistive region has been measured by a novel in-depth voltage probe
contact. The position of the front associated with an injection point appears
to depend only on the current magnitude and not on its withdrawal point. It is
argued that enhanced nonresistive superconducting anisotropy limits current
penetration to less than the London length and results in a flat rectangular
resistive region with simultaneous "ab" and "c" current breakdown which moves
progressively out from the injection point with increasing current.
Measurements in "ab" or "c" configurations are seen to give the same
information, involving both ab-plane and c-axis conduction properties.Comment: 9 pages, 13 figures, typo error corrected, last section was refine
Simple method for excitation of a Bose-Einstein condensate
An appropriate, time-dependent modification of the trapping potential may be
sufficient to create effectively collective excitations in a cold atom
Bose-Einstein condensate. The proposed method is complementary to earlier
suggestions and should allow the creation of both dark solitons and vortices.Comment: 8 pages, 7 figures, version accepted for publication in Phys. Rev.
Axisymmetric versus Non-axisymmetric Vortices in Spinor Bose-Einstein Condensates
The structure and stability of various vortices in F=1 spinor Bose-Einstein
condensates are investigated by solving the extended Gross-Pitaevskii equation
under rotation. We perform an extensive search for stable vortices, considering
both axisymmetric and non-axisymmetric vortices and covering a wide range of
ferromagnetic and antiferromagnetic interactions. The topological defect called
Mermin-Ho (Anderson-Toulouse) vortex is shown to be stable for ferromagnetic
case. The phase diagram is established in a plane of external rotation Omega vs
total magnetization M by comparing the free energies of possible vortices. It
is shown that there are qualitative differences between axisymmetric and
non-axisymmetric vortices which are manifested in the Omega- and M-dependences.Comment: 9 pages, 9 figure
Dark soliton states of Bose-Einstein condensates in anisotropic traps
Dark soliton states of Bose-Einstein condensates in harmonic traps are
studied both analytically and computationally by the direct solution of the
Gross-Pitaevskii equation in three dimensions. The ground and self-consistent
excited states are found numerically by relaxation in imaginary time. The
energy of a stationary soliton in a harmonic trap is shown to be independent of
density and geometry for large numbers of atoms. Large amplitude field
modulation at a frequency resonant with the energy of a dark soliton is found
to give rise to a state with multiple vortices. The Bogoliubov excitation
spectrum of the soliton state contains complex frequencies, which disappear for
sufficiently small numbers of atoms or large transverse confinement. The
relationship between these complex modes and the snake instability is
investigated numerically by propagation in real time.Comment: 11 pages, 8 embedded figures (two in color
Search for the exotic Resonance in 340GeV/c -Nucleus Interactions
We report on a high statistics search for the resonance in
-nucleus collisions at 340GeV/c. No evidence for this resonance is
found in our data sample which contains 676000 candidates above
background. For the decay channel and the
kinematic range 0.150.9 we find a 3 upper limit for the
production cross section of 3.1 and 3.5 b per nucleon for reactions with
carbon and copper, respectively.Comment: 5 pages, 4 figures, modification of ref. 43 and 4
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