8,370 research outputs found
Finite temperature correlations and density profiles of an inhomogeneous interacting 1D Bose gas
We calculate the density profiles and density correlation functions of the
one-dimensional Bose gas in a harmonic trap, using the exact finite-temperature
solutions for the uniform case, and applying a local density approximation. The
results are valid for a trapping potential which is slowly varying relative to
a correlation length. They allow a direct experimental test of the transition
from the weak coupling Gross-Pitaevskii regime to the strong coupling,
'fermionic' Tonks-Girardeau regime. We also calculate the average two-particle
correlation which characterizes the bulk properties of the sample, and find
that it can be well approximated by the value of the local pair correlation in
the trap center.Comment: Final published version; updated references; 19 pages, 12 figure
Stability and phase coherence of trapped 1D Bose gases
We discuss stability and phase coherence of 1D trapped Bose gases and find
that inelastic decay processes, such as 3-body recombination, are suppressed in
the strongly interacting (Tonks-Girardeau) and intermediate regimes. This is
promising for achieving these regimes with a large number of particles.
"Fermionization" of the system reduces the phase coherence length, and at T=0
the gas is fully phase coherent only deeply in the weakly interacting
(Gross-Pitaevskii) regime.Comment: published versio
Existence of two-channel Kondo regime for tunneling impurities with resonant scattering
Dynamical tunneling systems have been proposed earlier to display a
two-channel Kondo effect, the orbital index of the particle playing the role of
a pseudospin in the equivalent Kondo problem, and the spin being a silent
channel index. However, as shown recently by Aleiner et al. [Phys. Rev. Lett.
86, 2629 (2001)], the predicted two-channel Kondo behavior can never be
observed in the weak coupling regime, where the tunneling induced splitting of
the levels of the tunneling system always dominates the physics. Here we show
that the above scenario changes completely if the conduction electrons are
scattered by resonant scattering off the tunneling impurity; Then - as a
non-perturbative analysis reveals - the two-channel Kondo regime can easily be
reached.Comment: 10 PRB page
Novel electronic states close to Mott transition in low-dimensional and frustrated systems
Recent studies demonstrated that there may appear different novel states in
correlated systems close to localized-itinerant crossover. Especially
favourable conditions for that are met in low-dimensional and in frustrated
systems. In this paper I discuss on concrete examples some of such novel
states. In particular, for some spinels and triangular systems there appears a
"partial Mott transition", in which first some finite clusters (dimers, trimes,
tetramers, heptamers) go over to the itinerant regime, and the real bulk Mott
transition occurs only later. Also some other specific possibilities in this
crossover regime are shortly discussed, such as spin-Peierls-Peierls transition
in TiOCl, spontaneous charge disproportionation in some cases, etc.Comment: To be published in Journal of Physics - Condensed Matter, conference
serie
Corrections to Decay in the 2HDM
QCD corrections to the inclusive decay are
investigated within the two - Higgs doublet extension of the standard model
(2HDM). The analysis is performed in the so - called off-resonance region; the
dependence of the obtained results on the choice of the renormalization scale
is examined in details. It is shown that corrections can suppress
the decay width up to times (depending on the
choice of the dilepton invariant mass and the low - energy scale ). As
a result, in the experimentally allowed range of the parameters space, the
relations between the branching ratio and the new physics
parameters are strongly affected. It is found also that though the
renormalization scale dependence of the branching is
significantly reduced, higher order effects in the perturbation theory can
still be nonnegligible.Comment: 16 pages, latex, including 6 figures and 3 table
A semi-classical field method for the equilibrium Bose gas and application to thermal vortices in two dimensions
We develop a semi-classical field method for the study of the weakly
interacting Bose gas at finite temperature, which, contrarily to the usual
classical field model, does not suffer from an ultraviolet cut-off dependence.
We apply the method to the study of thermal vortices in spatially homogeneous,
two-dimensional systems. We present numerical results for the vortex density
and the vortex pair distribution function. Insight in the physics of the system
is obtained by comparing the numerical results with the predictions of simple
analytical models. In particular, we calculate the activation energy required
to form a vortex pair at low temperature.Comment: 19 page
Condensation and vortex formation in Bose-gas upon cooling
The mechanism for the transition of a Bose gas to the superfluid state via
thermal fluctuations is considered. It is shown that in the process of external
cooling some critical fluctuations (instantons) are formed above the critical
temperature. The probability of the instanton formation is calculated in the
three and two-dimensional cases. It is found that this probability increases as
the system approaches the transition temperature. It is shown that the
evolution of an individual instanton is impossible without the formation of
vortices in its superfluid part
Mechanism of Anomalous Tunneling in Condensed Bose System
We clarify the origin of anomalous tunneling [Yu. Kagan et al. Phys. Rev.
Lett. 90 (2003) 130402] i.e. the perfect transmission at low energy limit of
tunneling of phonon excitations across the potential barrier separating two
Bose condensates. The perfect transmission is a consequence of the coincidence
of the wave function of the excited state at low energy limit and the
macroscopic wave function of the condensate. We show that the perfect
transmission at low energy occurs even at finite temperatures within the scheme
of Popov approximation.Comment: 4 pages 1 figur
Nonlinear Dynamics of a Bose-Einstein Condensate in a Magnetic Waveguide
We have studied the internal and external dynamics of a Bose-Einstein
condensate in an anharmonic magnetic waveguide. An oscillating condensate
experiences a strong coupling between the center of mass motion and the
internal collective modes. Due to the anharmonicity of the magnetic potential,
not only the center of mass motion shows harmonic frequency generation, but
also the internal dynamics exhibit nonlinear frequency mixing. We describe the
data with a theoretical model to high accuracy. For strong excitations we test
the experimental data for indications of a chaotic behavior.Comment: 4 pages, 4 figure
Collisional relaxation of Feshbach molecules and three-body recombination in 87Rb Bose-Einstein condensates
We predict the resonance enhanced magnetic field dependence of atom-dimer
relaxation and three-body recombination rates in a Rb Bose-Einstein
condensate (BEC) close to 1007 G. Our exact treatments of three-particle
scattering explicitly include the dependence of the interactions on the atomic
Zeeman levels. The Feshbach resonance distorts the entire diatomic energy
spectrum causing interferences in both loss phenomena. Our two independent
experiments confirm the predicted recombination loss over a range of rate
constants that spans four orders of magnitude.Comment: 4 pages, 3 eps figures (updated references
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