1,744 research outputs found
Two-tape finite automata with quantum and classical states
{\it Two-way finite automata with quantum and classical states} (2QCFA) were
introduced by Ambainis and Watrous, and {\it two-way two-tape deterministic
finite automata} (2TFA) were introduced by Rabin and Scott. In this paper we
study 2TFA and propose a new computing model called {\it two-way two-tape
finite automata with quantum and classical states} (2TQCFA). First, we give
efficient 2TFA algorithms for recognizing languages which can be recognized by
2QCFA. Second, we give efficient 2TQCFA algorithms to recognize several
languages whose status vis-a-vis 2QCFA have been posed as open questions, such
as . Third, we show that
can be recognized by {\it -tape
deterministic finite automata} (TFA). Finally, we introduce {\it
-tape automata with quantum and classical states} (TQCFA) and prove that
can be recognized by TQCFA.Comment: 25 page
Quantum saturation and condensation of excitons in CuO: a theoretical study
Recent experiments on high density excitons in CuO provide evidence for
degenerate quantum statistics and Bose-Einstein condensation of this nearly
ideal gas. We model the time dependence of this bosonic system including
exciton decay mechanisms, energy exchange with phonons, and interconversion
between ortho (triplet-state) and para (singlet-state) excitons, using
parameters for the excitonic decay, the coupling to acoustic and low-lying
optical phonons, Auger recombination, and ortho-para interconversion derived
from experiment. The single adjustable parameter in our model is the
optical-phonon cooling rate for Auger and laser-produced hot excitons. We show
that the orthoexcitons move along the phase boundary without crossing it (i.e.,
exhibit a ``quantum saturation''), as a consequence of the balance of entropy
changes due to cooling of excitons by phonons and heating by the non-radiative
Auger two-exciton recombination process. The Auger annihilation rate for
para-para collisions is much smaller than that for ortho-para and ortho-ortho
collisions, explaining why, under the given experimental conditions, the
paraexcitons condense while the orthoexcitons fail to do so.Comment: Revised to improve clarity and physical content 18 pages, revtex,
figures available from G. Kavoulakis, Physics Department, University of
Illinois, Urban
Fine structure of excitons in CuO
Three experimental observations on 1s-excitons in CuO are not consistent
with the picture of the exciton as a simple hydrogenic bound state: the
energies of the 1s-excitons deviate from the Rydberg formula, the total exciton
mass exceeds the sum of the electron and hole effective masses, and the
triplet-state excitons lie above the singlet. Incorporating the band structure
of the material, we calculate the corrections to this simple picture arising
from the fact that the exciton Bohr radius is comparable to the lattice
constant. By means of a self-consistent variational calculation of the total
exciton mass as well as the ground-state energy of the singlet and the
triplet-state excitons, we find excellent agreement with experiment.Comment: Revised abstract; 10 pages, revtex, 3 figures available from G.
Kavoulakis, Physics Department, University of Illinois, Urban
Invasive Allele Spread under Preemptive Competition
We study a discrete spatial model for invasive allele spread in which two
alleles compete preemptively, initially only the "residents" (weaker
competitors) being present. We find that the spread of the advantageous
mutation is well described by homogeneous nucleation; in particular, in large
systems the time-dependent global density of the resident allele is well
approximated by Avrami's law.Comment: Computer Simulation Studies in Condensed Matter Physics XVIII, edited
by D.P. Landau, S.P. Lewis, and H.-B. Schuttler, (Springer, Heidelberg,
Berlin, in press
Kinks in the Presence of Rapidly Varying Perturbations
Dynamics of sine-Gordon kinks in the presence of rapidly varying periodic
perturbations of different physical origins is described analytically and
numerically. The analytical approach is based on asymptotic expansions, and it
allows to derive, in a rigorous way, an effective nonlinear equation for the
slowly varying field component in any order of the asymptotic procedure as
expansions in the small parameter , being the frequency
of the rapidly varying ac driving force. Three physically important examples of
such a dynamics, {\em i.e.}, kinks driven by a direct or parametric ac force,
and kinks on rotating and oscillating background, are analysed in detail. It is
shown that in the main order of the asymptotic procedure the effective equation
for the slowly varying field component is {\em a renormalized sine-Gordon
equation} in the case of the direct driving force or rotating (but phase-locked
to an external ac force) background, and it is {\em the double sine-Gordon
equation} for the parametric driving force. The properties of the kinks
described by the renormalized nonlinear equations are analysed, and it is
demonstrated analytically and numerically which kinds of physical phenomena may
be expected in dealing with the renormalized, rather than the unrenormalized,
nonlinear dynamics. In particular, we predict several qualitatively new effects
which include, {\em e.g.}, the perturbation-inducedComment: New copy of the paper of the above title to replace the previous one,
lost in the midst of the bulletin board. RevTeX 3.
Top A_FB at the Tevatron vs. charge asymmetry at the LHC in chiral U(1) flavor models with flavored Higgs doublets
We consider the top forward-backward (FB) asymmetry at the Tevatron and top
charge asymmetry at the LHC within chiral U(1)^\prime models with
flavor-dependent U(1)^\prime charges and flavored Higgs fields, which were
introduced in the ref. [65]. The models could enhance not only the top
forward-backward asymmetry at Tevatron, but also the top charge asymmetry at
LHC, without too large same-sign top pair production rates. We identify
parameter spaces for the U(1)^\prime gauge boson and (pseudo)scalar Higgs
bosons where all the experimental data could be accommodated, including the
case with about 125 GeV Higgs boson, as suggested recently by ATLAS and CMS.Comment: 11 pages, 6 figures, figures and discussion adde
Instability of a Bose-Einstein Condensate with Attractive Interaction
We study the stability of a Bose-Einstein condensate of harmonically trapped
atoms with negative scattering length, specifically lithium 7. Our method is to
solve the time-dependent nonlinear Schrodinger equation numerically. For an
isolated condensate, with no gain or loss, we find that the system is stable
(apart from quantum tunneling) if the particle number N is less than a critical
number N_c. For N > N_c, the system collapses to high-density clumps in a
region near the center of the trap. The time for the onset of collapse is on
the order of 1 trap period. Within numerical uncertainty, the results are
consistent with the formation of a "black hole" of infinite density
fluctuations, as predicted by Ueda and Huang. We obtain numerically N_c
approximately 1251. We then include gain-loss mechanisms, i.e., the gain of
atoms from a surrounding "thermal cloud", and the loss due to two- and
three-body collisions. The number N now oscillates in a steady state, with a
period of about 145 trap periods. We obtain N_c approximately 1260 as the
maximum value in the oscillations.Comment: Email correspondence to [email protected] ; 18 pages and 9 EPS
figures, using REVTeX and BoxedEPS macro
Electronic structure, charge transfer, and intrinsic luminescence of gadolinium oxide nanoparticles: Experiment and theory
The cubic (c) and monoclinic (m) polymorphs of Gd2O3 were studied using the
combined analysis of several materials science techniques - X-ray diffraction
(XRD), scanning electron microscopy (SEM), X-ray photoelectron spectroscopy
(XPS), and photoluminescence (PL) spectroscopy. Density functional theory (DFT)
based calculations for the samples under study were performed as well. The
cubic phase of gadolinium oxide (c-Gd2O3) synthesized using a precipitation
method exhibits spheroidal-like nanoclusters with well-defined edges assembled
from primary nanoparticles with an average size of 50 nm, whereas the
monoclinic phase of gadolinium oxide (m-Gd2O3) deposited using explosive
pyrolysis has a denser structure compared with natural gadolinia. This phase
also has a structure composed of three-dimensional complex agglomerates without
clear-edged boundaries that are ~21 nm in size plus a cubic phase admixture of
only 2 at. % composed of primary edge-boundary nanoparticles ~15 nm in size.
These atomic features appear in the electronic structure as different defects
([Gd...O-OH] and [Gd...O-O]) and have dissimilar contributions to the
charge-transfer processes among the appropriate electronic states with
ambiguous contributions in the Gd 5p - O 2s core-like levels in the valence
band structures. The origin of [Gd...O-OH] defects found by XPS was
well-supported by PL analysis. The electronic and atomic structures of the
synthesized gadolinias calculated using DFT were compared and discussed on the
basis of the well-known joint OKT-van der Laan model, and good agreement was
established.Comment: 27 pages, 10 figures, accepted in Appl. Surf. Sc
Vortex reflection at boundaries of Josephson-junction arrays
We study the propagation properties of a single vortex in square
Josephson-junction arrays (JJA) with free boundaries and subject to an applied
dc current. We model the dynamics of the JJA by the resistively and
capacitively shunted junction (RCSJ) equations. For zero Stewart-McCumber
parameter we find that the vortex always escapes from the array when
it gets to the boundary. For and for low currents we find
that the vortex escapes, while for larger currents the vortex is reflected as
an antivortex at one edge and the antivortex as a vortex at the other, leading
to a stationary oscillatory state and to a non-zero time-averaged voltage. The
escape and the reflection of a vortex at the array edges are qualitatively
explained in terms of a coarse-grained model of a vortex interacting
logarithmically with its image. We also discuss the case when the free
boundaries are at degrees with respect to the direction of the vortex
motion. Finally, we discuss the effect of self-induced magnetic fields by
taking into account the full-range inductance matrix of the array, and find
qualitatively equivalent results.Comment: 14 pages RevTex, 9 Postscript figure
Quantitative investigation of two metallohydrolases by X-ray absorption spectroscopy near-edge spectroscopy
The last several years have witnessed a tremendous increase in biological applications using X-ray absorption spectroscopy (BioXAS), thanks to continuous advancements in synchrotron radiation (SR) sources and detector technology. However, XAS applications in many biological systems have been limited by the intrinsic limitations of the Extended X-ray Absorption Fine Structure (EXAFS) technique e.g., the lack of sensitivity to bond angles. As a consequence, the application of the X-ray absorption near-edge structure (XANES) spectroscopy changed this scenario that is now continuously changing with the introduction of the first quantitative XANES packages such as Minut XANES (MXAN). Here we present and discuss the XANES code MXAN, a novel XANES-fitting package that allows a quantitative analysis of experimental data applied to Zn K-edge spectra of two metalloproteins: Leptospira interrogans Peptide deformylase (LiPDF) and acutolysin-C, a representative of snake venom metalloproteinases (SVMPs) from Agkistrodon acutus venom. The analysis on these two metallohydrolases reveals that proteolytic activities are correlated to subtle conformation changes around the zinc ion. In particular, this quantitative study clarifies the occurrence of the LiPDF catalytic mechanism via a two-water-molecules model, whereas in the acutolysin-C we have observed a different proteolytic activity correlated to structural changes around the zinc ion induced by pH variations
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