127,305 research outputs found
Complex wave function, Chiral spin order parameter and Phase Problem
We study the two dimensional Hubbard model by use of the ground state
algorithm in the Monte Carlo simulation. We employ complex wave functions as
trial function in order to have a close look at properties such as chiral spin
order (SO) and flux phase. For half filling, a particle-hole
transformation leads to sum rules with respect to the Green's functions for a
certain choice of a set of wave functions. It is then analytically shown that
the sum rules lead to the absence of the SO. Upon doping, we are
confronted with the sign problem, which in our case %ch appears as a ``phase
problem" due to the phase of the Monte Carlo weights. The average of the phase
shows an exponential decay as a function of inverse temperature similarly to
that of sign by Loh Jr. et. al. . We compare the numerical results with those
of exact numerical calculations.Comment: 28 pages, 9 figures(hard copy will be available upon request
Interference between a large number of independent Bose-Einstein condensates
We study theoretically the interference patterns produced by the overlap of
an array of Bose-Einstein condensates that have no phase coherence among them.
We show that density-density correlations at different quasimomenta, which play
an important role in two-condensate interference, become negligible for large
, where is the number of overlapping condensates. In order to understand
the physics of this phenomenon, it is sufficient to consider the periodicity of
the lattice and the statistical probability distribution of a random-walk
problem. The average visibility of such interference patterns decreases as
for large .Comment: 9 pages, 2 figure
Remote sensing of water quality in reservoirs and lakes in semi-arid climates
Overlake measurements using aerial cameras (remote sensing) combined with water truth collected from boats most economically provided wide-band photographs rather than precise spectra. With use of false color infrared film (400-950 nm), the reflected spectral signatures seen from hundreds to thousands of meters above the lake merged to produce various color tones. Such colors were easily and inexpensively obtained and could be recognized by lake management personnel without any prior training. The characteristic spectral signatures of various algal types were also recognizable in part by the color tone produced by remote sensing
Shaping an ultracold atomic soliton in a travelling wave laser beam
An ultracold wave packet of bosonic atoms loaded into a travelling laser wave
may form a many-atom soliton.This is disturbed by a homogeneous force field,
for example by the inevitable gravitation. The wave packet is accelerated and
therefore the laser frequency appears to be chirped in the rest frame of the
atoms. We derive the effective nonlinear Schr\"odinger equation. It shows a
time dependent nonlinearity coefficient which amounts to a damping or
antidamping, respectively. The accelerated packet solution remains a soliton
which changes its shape adiabatically. Similarly, an active shaping can be
obtained in the force-free case by chirping the laser frequency thus
representing a way of coherent control of the soliton form. The experimental
consequences are discussed.Comment: 5 pages, Latex, to published in Europhys. Let
Ultracold atoms in optical lattices with random on-site interactions
We consider the physics of lattice bosons affected by disordered on-site
interparticle interactions. Characteristic qualitative changes in the zero
temperature phase diagram are observed when compared to the case of randomness
in the chemical potential. The Mott-insulating regions shrink and eventually
vanish for any finite disorder strength beyond a sufficiently large filling
factor. Furthermore, at low values of the chemical potential both the
superfluid and Mott insulator are stable towards formation of a Bose glass
leading to a possibly non-trivial tricritical point. We discuss feasible
experimental realizations of our scenario in the context of ultracold atoms on
optical lattices.Comment: 4 pages, 3 eps figure
A PRELIMINARY REVIEW OF THE BIOSTRATIGRAPHY OF THE UPPERMOST PERMIAN, TRIASSIC AND LOWERMOST JURASSIC OF GONDWANALAND
This review pager was born out of a desire to
visualize in some detail the picture of the evolving
Gondwana Triassic landscape and the story of life
and ecology upon it; a desire to provide a general
setting in which to view the details of the work in
which we are actively involved at the present-the
macro flora (H.M.A.) and microflora (J.M.A.) of
the Molteno 'Formation' of the Karroo Basin of
South Africa
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