2,344 research outputs found
Magnetic phases of two-component ultracold bosons in an optical lattice
We investigate spin-order of ultracold bosons in an optical lattice by means
of Dynamical Mean-Field Theory. A rich phase diagram with anisotropic magnetic
order is found, both for the ground state and at finite temperatures. Within
the Mott insulator, a ferromagnetic to antiferromagnetic transition can be
tuned using a spin-dependent optical lattice. In addition we find a supersolid
phase, in which superfluidity coexists with antiferromagnetic spin order. We
present detailed phase diagrams at finite temperature for the experimentally
realized heteronuclear 87Rb - 41K mixture in a three-dimensional optical
lattice.Comment: 6 pages, 4 figures, revised and published versio
Two-Dimensional Dynamics of Ultracold Atoms in Optical Lattices
We analyze the dynamics of ultracold atoms in optical lattices induced by a
sudden shift of the underlying harmonic trapping potential. In order to study
the effect of strong interactions, dimensionality and lattice topology on
transport properties, we consider bosonic atoms with arbitrarily strong
repulsive interactions, on a two-dimensional square lattice and a hexagonal
lattice. On the square lattice we find insulating behavior for weakly
interacting atoms and slow relaxation for strong interactions, even when a Mott
plateau is present, which in one dimension blocks the dynamics. On the
hexagonal lattice the center of mass relaxes to the new equilibrium for any
interaction strength.Comment: 4 pages, 6 figures; references added; improved figure
Shape Analysis of the Level Spacing Distribution around the Metal Insulator Transition in the Three Dimensional Anderson Model
We present a new method for the numerical treatment of second order phase
transitions using the level spacing distribution function . We show that
the quantities introduced originally for the shape analysis of eigenvectors can
be properly applied for the description of the eigenvalues as well. The
position of the metal--insulator transition (MIT) of the three dimensional
Anderson model and the critical exponent are evaluated. The shape analysis of
obtained numerically shows that near the MIT is clearly different
from both the Brody distribution and from Izrailev's formula, and the best
description is of the form , with
. This is in good agreement with recent analytical results.Comment: 14 pages in plain TeX, 6 figures upon reques
Kondo effect in coupled quantum dots with RKKY interaction: Finite temperature and magnetic field effects
We study transport through two quantum dots coupled by an RKKY interaction as
a function of temperature and magnetic field. By applying the Numerical
Renormalization Group (NRG) method we obtain the transmission and the linear
conductance. At zero temperature and magnetic field, we observe a quantum phase
transition between the Kondo screened state and a local spin singlet as the
RKKY interaction is tuned. Above the critical RKKY coupling the Kondo peak is
split. However, we find that both finite temperature and magnetic field restore
the Kondo resonance. Our results agree well with recent transport experiments
on gold grain quantum dots in the presence of magnetic impurities.Comment: 4 pages, 5 figure
Magnetism and domain formation in SU(3)-symmetric multi-species Fermi mixtures
We study the phase diagram of an SU(3)-symmetric mixture of three-component
ultracold fermions with attractive interactions in an optical lattice,
including the additional effect on the mixture of an effective three-body
constraint induced by three-body losses. We address the properties of the
system in by using dynamical mean-field theory and variational Monte
Carlo techniques. The phase diagram of the model shows a strong interplay
between magnetism and superfluidity. In the absence of the three-body
constraint (no losses), the system undergoes a phase transition from a color
superfluid phase to a trionic phase, which shows additional particle density
modulations at half-filling. Away from the particle-hole symmetric point the
color superfluid phase is always spontaneously magnetized, leading to the
formation of different color superfluid domains in systems where the total
number of particles of each species is conserved. This can be seen as the SU(3)
symmetric realization of a more general tendency to phase-separation in
three-component Fermi mixtures. The three-body constraint strongly disfavors
the trionic phase, stabilizing a (fully magnetized) color superfluid also at
strong coupling. With increasing temperature we observe a transition to a
non-magnetized SU(3) Fermi liquid phase.Comment: 36 pages, 17 figures; Corrected typo
Polaronic slowing of fermionic impurities in lattice Bose-Fermi mixtures
We generalize the application of small polaron theory to ultracold gases of
Ref. [\onlinecite{jaksch_njp1}] to the case of Bose-Fermi mixtures, where both
components are loaded into an optical lattice. In a suitable range of
parameters, the mixture can be described within a Bogoliubov approach in the
presence of fermionic (dynamic) impurities and an effective description in
terms of polarons applies. In the dilute limit of the slow impurity regime, the
hopping of fermionic particles is exponentially renormalized due to polaron
formation, regardless of the sign of the Bose-Fermi interaction. This should
lead to clear experimental signatures of polaronic effects, once the regime of
interest is reached. The validity of our approach is analyzed in the light of
currently available experiments. We provide results for the hopping
renormalization factor for different values of temperature, density and
Bose-Fermi interaction for three-dimensional
mixtures in optical lattice.Comment: 13 pages, 5 figure
Transverse Meissner Physics of Planar Superconductors with Columnar Pins
The statistical mechanics of thermally excited vortex lines with columnar
defects can be mapped onto the physics of interacting quantum particles with
quenched random disorder in one less dimension. The destruction of the Bose
glass phase in Type II superconductors, when the external magnetic field is
tilted sufficiently far from the column direction, is described by a poorly
understood non-Hermitian quantum phase transition. We present here exact
results for this transition in (1+1)-dimensions, obtained by mapping the
problem in the hard core limit onto one-dimensional fermions described by a
non-Hermitian tight binding model. Both site randomness and the relatively
unexplored case of bond randomness are considered. Analysis near the mobility
edge and near the band center in the latter case is facilitated by a real space
renormalization group procedure used previously for Hermitian quantum problems
with quenched randomness in one dimension.Comment: 23 pages, 22 figure
Enhanced Conductance Through Side-Coupled Double Quantum Dots
Conductance, on-site and inter-site charge fluctuations and spin correlations
in the system of two side-coupled quantum dots are calculated using the
Wilson's numerical renormalization group (NRG) technique. We also show spectral
density calculated using the density-matrix NRG, which for some parameter
ranges remedies inconsistencies of the conventional approach. By changing the
gate voltage and the inter-dot tunneling rate, the system can be tuned to a
non-conducting spin-singlet state, the usual Kondo regime with odd number of
electrons occupying the dots, the two-stage Kondo regime with two electrons, or
a valence-fluctuating state associated with a Fano resonance. Analytical
expressions for the width of the Kondo regime and the Kondo temperature are
given. We also study the effect of unequal gate voltages and the stability of
the two-stage Kondo effect with respect to such perturbations.Comment: 11 pages, 12 figure
Does a magnetic field modify the critical behaviour at the metal-insulator transition in 3-dimensional disordered systems?
The critical behaviour of 3-dimensional disordered systems with magnetic
field is investigated by analyzing the spectral fluctuations of the energy
spectrum. We show that in the thermodynamic limit we have two different
regimes, one for the metallic side and one for the insulating side with
different level statistics. The third statistics which occurs only exactly at
the critical point is {\it independent} of the magnetic field. The critical
behaviour which is determined by the symmetry of the system {\it at} the
critical point should therefore be independent of the magnetic field.Comment: 10 pages, Revtex, 4 PostScript figures in uuencoded compressed tar
file are appende
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