5,760 research outputs found
Quasi-universal transient behavior of a nonequilibrium Mott insulator driven by an electric field
We use a self-consistent strong-coupling expansion for the self-energy
(perturbation theory in the hopping) to describe the nonequilibrium dynamics of
strongly correlated lattice fermions. We study the three-dimensional
homogeneous Fermi-Hubbard model driven by an external electric field showing
that the damping of the ensuing Bloch oscillations depends on the direction of
the field, and that for a broad range of field strengths, a long-lived
transient prethermalized state emerges. This long-lived transient regime
implies that thermal equilibrium may be out of reach of the time scales
accessible in present cold atom experiments, but shows that an interesting new
quasi-universal transient state exists in nonequilibrium governed by a
thermalized kinetic energy but not a thermalized potential energy. In addition,
when the field strength is equal in magnitude to the interaction between atoms,
the system undergoes a rapid thermalization, characterized by a different
quasi-universal behavior of the current and spectral function for different
values of the hopping.Comment: (5 pages, 5 figures, ReVTeX
Simulation of inhomogeneous distributions of ultracold atoms in an optical lattice via a massively parallel implementation of nonequilibrium strong-coupling perturbation theory
We present a nonequilibrium strong-coupling approach to inhomogeneous systems
of ultracold atoms in optical lattices. We demonstrate its application to the
Mott-insulating phase of a two-dimensional Fermi-Hubbard model in the presence
of a trap potential. Since the theory is formulated self-consistently, the
numerical implementation relies on a massively parallel evaluation of the
self-energy and the Green's function at each lattice site, employing thousands
of CPUs. While the computation of the self-energy is straightforward to
parallelize, the evaluation of the Green's function requires the inversion of a
large sparse matrix, with . As a crucial ingredient,
our solution heavily relies on the smallness of the hopping as compared to the
interaction strength and yields a widely scalable realization of a rapidly
converging iterative algorithm which evaluates all elements of the Green's
function. Results are validated by comparing with the homogeneous case via the
local-density approximation. These calculations also show that the
local-density approximation is valid in non-equilibrium setups without mass
transport.Comment: 14 pages, 9 figure
Strong-coupling expansion for ultracold bosons in an optical lattice at finite temperatures in the presence of superfluidity
We develop a strong-coupling () expansion technique for calculating
the density profile for bosonic atoms trapped in an optical lattice with an
overall harmonic trap at finite temperature and finite on site interaction in
the presence of superfluid regions. Our results match well with quantum Monte
Carlo simulations at finite temperature. We also show that the superfluid order
parameter never vanishes in the trap due to proximity effect. Our calculations
for the scaled density in the vacuum to superfluid transition agree well with
the experimental data for appropriate temperatures. We present calculations for
the entropy per particle as a function of temperature which can be used to
calibrate the temperature in experiments. We also discuss issues connected with
the demonstration of universal quantum critical scaling in the experiments.Comment: 11 pages, 9 figure
Two-channel Kondo physics in odd impurity chains
We study odd-membered chains of spin-(1/2) impurities, with each end
connected to its own metallic lead. For antiferromagnetic exchange coupling,
universal two-channel Kondo (2CK) physics is shown to arise at low energies.
Two overscreening mechanisms are found to occur depending on coupling strength,
with distinct signatures in physical properties. For strong inter-impurity
coupling, a residual chain spin-(1/2) moment experiences a renormalized
effective coupling to the leads; while in the weak-coupling regime, Kondo
coupling is mediated via incipient single-channel Kondo singlet formation. We
also investigate models where the leads are tunnel-coupled to the impurity
chain, permitting variable dot filling under applied gate voltages. Effective
low-energy models for each regime of filling are derived, and for even-fillings
where the chain ground state is a spin singlet, an orbital 2CK effect is found
to be operative. Provided mirror symmetry is preserved, 2CK physics is shown to
be wholly robust to variable dot filling; in particular the single-particle
spectrum at the Fermi level, and hence the low-temperature zero-bias
conductance, is always pinned to half-unitarity. We derive a Friedel-Luttinger
sum rule and from it show that, in contrast to a Fermi liquid, the Luttinger
integral is non-zero and determined solely by the `excess' dot charge as
controlled by gate voltage. The relevance of the work to real quantum dot
devices, where inter-lead charge-transfer processes fatal to 2CK physics are
present, is also discussed. Physical arguments and numerical renormalization
group techniques are used to obtain a detailed understanding of these problems.Comment: 21 pages, 19 figure
Supernova Ejecta in the Youngest Galactic Supernova Remnant G1.9+0.3
G1.9+0.3 is the youngest known Galactic supernova remnant (SNR), with an
estimated supernova (SN) explosion date of about 1900, and most likely located
near the Galactic Center. Only the outermost ejecta layers with free-expansion
velocities larger than about 18,000 km/s have been shocked so far in this
dynamically young, likely Type Ia SNR. A long (980 ks) Chandra observation in
2011 allowed spatially-resolved spectroscopy of heavy-element ejecta. We
denoised Chandra data with the spatio-spectral method of Krishnamurthy et al.,
and used a wavelet-based technique to spatially localize thermal emission
produced by intermediate-mass elements (IMEs: Si and S) and iron. The spatial
distribution of both IMEs and Fe is extremely asymmetric, with the strongest
ejecta emission in the northern rim. Fe Kalpha emission is particularly
prominent there, and fits with thermal models indicate strongly oversolar Fe
abundances. In a localized, outlying region in the northern rim, IMEs are less
abundant than Fe, indicating that undiluted Fe-group elements (including 56Ni)
with velocities larger than 18,000 km/s were ejected by this SN. But in the
inner west rim, we find Si- and S-rich ejecta without any traces of Fe, so
high-velocity products of O-burning were also ejected. G1.9+0.3 appears similar
to energetic Type Ia SNe such as SN 2010jn where iron-group elements at such
high free-expansion velocities have been recently detected. The pronounced
asymmetry in the ejecta distribution and abundance inhomogeneities are best
explained by a strongly asymmetric SN explosion, similar to those produced in
some recent 3D delayed-detonation Type Ia models.Comment: 6 pages, 3 figures, submitted to ApJ Letter
Nonuniform Expansion of the Youngest Galactic Supernova Remnant G1.9+0.3
We report measurements of X-ray expansion of the youngest Galactic supernova
remnant, G1.9+0.3, using Chandra observations in 2007, 2009, and 2011. The
measured rates strongly deviate from uniform expansion, decreasing radially by
about 60% along the X-ray bright SE-NW axis from 0.84% +/- 0.06% per yr to
0.52% +/- 0.03% per yr. This corresponds to undecelerated ages of 120-190 yr,
confirming the young age of G1.9+0.3, and implying a significant deceleration
of the blast wave. The synchrotron-dominated X-ray emission brightens at a rate
of 1.9% +/- 0.4% per yr. We identify bright outer and inner rims with the blast
wave and reverse shock, respectively. Sharp density gradients in either ejecta
or ambient medium are required to produce the sudden deceleration of the
reverse shock or the blast wave implied by the large spread in expansion ages.
The blast wave could have been decelerated recently by an encounter with a
modest density discontinuity in the ambient medium, such as found at a wind
termination shock, requiring strong mass loss in the progenitor. Alternatively,
the reverse shock might have encountered an order-of-magnitude density
discontinuity within the ejecta, such as found in pulsating delayed-detonation
Type Ia models. We demonstrate that the blast wave is much more decelerated
than the reverse shock in these models for remnants at ages similar to
G1.9+0.3. Similar effects may also be produced by dense shells possibly
associated with high-velocity features in Type Ia spectra. Accounting for the
asymmetry of G1.9+0.3 will require more realistic 3D Type Ia models.Comment: 6 pages, 4 figures, accepted for publication in ApJ Letters, minor
revision
Isozyme diversity in Cassia auriculataL.
Cassia auriculata is considered to be one of the important dye yielding and medicinal plants in India. In the present study seeds from fourteen different localities were collected all over India and nine enzymes were screened by native polyacrylamide gel electrophoresis (PAGE) technique and thirty-four putative loci were totally detected. Cluster and factor analyses indicated that there are two major distinct groups or clusters, and thus, seeds collected from a few different localities are enough to capture the genetic variation held by this species. Also isozyme analysis is a reliable, efficient and effective marker technology for determining genetic variations in C. auriculata.Keywords: Genetic diversity, isozyme, Cassia auriculata, dye.African Journal of Biotechnology Vol. 4 (8), pp. 772-77
Equilibrium glassy phase in a polydisperse hard sphere system
The phase diagram of a polydisperse hard sphere system is examined by
numerical minimization of a discretized form of the Ramakrishnan-Yussouff free
energy functional. Crystalline and glassy local minima of the free energy are
located and the phase diagram in the density-polydispersity plane is mapped out
by comparing the free energies of different local minima. The crystalline phase
disappears and the glass becomes the equilibrium phase beyond a "terminal"
value of the polydispersity. A crystal to glass transition is also observed as
the density is increased at high polydispersity. The phase diagram obtained in
our study is qualitatively similar to that of hard spheres in a quenched random
potential.Comment: 4 pages, 4 figure
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