2,291 research outputs found
Geometrical entanglement of highly symmetric multipartite states and the Schmidt decomposition
In a previous paper we examined a geometric measure of entanglement based on
the minimum distance between the entangled target state of interest and the
space of unnormalized product states. Here we present a detailed study of this
entanglement measure for target states with a large degree of symmetry. We
obtain analytic solutions for the extrema of the distance function and solve
for the Hessian to show that, up to the action of trivial symmetries, the
solutions correspond to local minima of the distance function. In addition, we
show that the conditions that determine the extremal solutions for general
target states can be obtained directly by parametrizing the product states via
their Schmidt decomposition.Comment: 16 pages, references added and discussion expande
Dynamical renormalization group approach to transport in ultrarelativistic plasmas: the electrical conductivity in high temperature QED
The DC electrical conductivity of an ultrarelativistic QED plasma is studied
in real time by implementing the dynamical renormalization group. The
conductivity is obtained from the realtime dependence of a dissipative kernel
related to the retarded photon polarization. Pinch singularities in the
imaginary part of the polarization are manifest as growing secular terms that
in the perturbative expansion of this kernel. The leading secular terms are
studied explicitly and it is shown that they are insensitive to the anomalous
damping of hard fermions as a result of a cancellation between self-energy and
vertex corrections. The resummation of the secular terms via the dynamical
renormalization group leads directly to a renormalization group equation in
real time, which is the Boltzmann equation for the (gauge invariant) fermion
distribution function. A direct correspondence between the perturbative
expansion and the linearized Boltzmann equation is established, allowing a
direct identification of the self energy and vertex contributions to the
collision term.We obtain a Fokker-Planck equation in momentum space that
describes the dynamics of the departure from equilibrium to leading logarithmic
order in the coupling.This determines that the transport time scale is given by
t_{tr}=(24 pi)/[e^4 T \ln(1/e)}]. The solution of the Fokker-Planck equation
approaches asymptotically the steady- state solution as sim e^{-t/(4.038
t_{tr})}.The steady-state solution leads to the conductivity sigma = 15.698
T/[e^2 ln(1/e)] to leading logarithmic order. We discuss the contributions
beyond leading logarithms as well as beyond the Boltzmann equation. The
dynamical renormalization group provides a link between linear response in
quantum field theory and kinetic theory.Comment: LaTex, 48 pages, 14 .ps figures, final version to appear in Phys.
Rev.
Effective Lorentz Force due to Small-angle Impurity Scattering: Magnetotransport in High-Tc Superconductors
We show that a scattering rate which varies with angle around the Fermi
surface has the same effect as a periodic Lorentz force on magnetotransport
coefficients. This effect, together with the marginal Fermi liquid inelastic
scattering rate gives a quantitative explanation of the temperature dependence
and the magnitude of the observed Hall effect and magnetoresistance with just
the measured zero-field resistivity as input.Comment: 4 pages, latex, one epsf figure included in text. Several revisions
and corrections are included. Major conclusions are the sam
Shear viscosity in theory from an extended ladder resummation
We study shear viscosity in weakly coupled hot theory using the CTP
formalism . We show that the viscosity can be obtained as the integral of a
three-point function. Non-perturbative corrections to the bare one-loop result
can be obtained by solving a decoupled Schwinger-Dyson type integral equation
for this vertex. This integral equation represents the resummation of an
infinite series of ladder diagrams which contribute to the leading order
result. It can be shown that this integral equation has exactly the same form
as the Boltzmann equation. We show that the integral equation for the viscosity
can be reexpressed by writing the vertex as a combination of polarization
tensors. An expression for this polarization tensor can be obtained by solving
another Schwinger-Dyson type integral equation. This procedure results in an
expression for the viscosity that represents a non-perturbative resummation of
contributions to the viscosity which includes certain non-ladder graphs, as
well as the usual ladders. We discuss the motivation for this resummation. We
show that these resummations can also be obtained by writing the viscosity as
an integral equation involving a single four-point function. Finally, we show
that when the viscosity is expressed in terms of a four-point function, it is
possible to further extend the set of graphs included in the resummation by
treating vertex and propagator corrections self-consistently. We discuss the
significance of such a self-consistent resummation and show that the integral
equation contains cancellations between vertex and propagator corrections.Comment: Revtex 40 pages with 29 figures, version to appear in Phys. Rev.
Superconducting Magnetization above the Irreversibility Line in Tl2Ba2CuO6
Piezolever torque magnetometry has been used to measure the magnetization of
superconducting Tl2Ba2CuO6. Three crystals with different levels of oxygen
overdoping were investigated in magnetic fields up to 10 Tesla. In all cases,
the magnetization above the irreversibility line was found to depart from the
behaviour M ~ ln(Hc2/H) of a simple London-like vortex liquid. In particular,
for a strongly overdoped (Tc = 15K) crystal, the remnant superconducting order
above the irreversibility line is characterized by a linear diamagnetic
response (M ~ H) that persists well above Tc and also up to the highest field
employed.Comment: RevTeX, 11 pages, 7 encapsulated PostScript figures, submitted to
Physical Review
Topological change of the Fermi surface in ternary iron-pnictides with reduced c/a ratio: A dHvA study of CaFe2P2
We report a de Haas-van Alphen effect study of the Fermi surface of CaFe2P2
using low temperature torque magnetometry up to 45 T. This system is a close
structural analogue of the collapsed tetragonal non-magnetic phase of CaFe2As2.
We find the Fermi surface of CaFe2P2 to differ from other related ternary
phosphides in that its topology is highly dispersive in the c-axis, being
three-dimensional in character and with identical mass enhancement on both
electron and hole pockets (~1.5). The dramatic change in topology of the Fermi
surface suggests that in a state with reduced (c/a) ratio, when bonding between
pnictogen layers becomes important, the Fermi surface sheets are unlikely to be
nested
The Role of HIV/AIDS Prevention Campaigns on HIV Related Behavioural Changes in Ibadan, Nigeria
This study examined the impact of sources of AIDS education on HIV-related behavioural changes, and its implications for HIV prevention and service delivery in Nigeria. We analysed cross-sectional data obtained from a structured face-to-face interview with 1,373 respondents aged 15-50, who have ever had sex in Ibadan, Nigeria. Knowledge of HIV/AIDS, its route of transmission and prevention strategies was high. About 20 % of the respondents were exposed to the AIDS prevention campaigns. A majority reported sexual behavioral changes, which included restriction of sex partners, use of condoms, sexual abstinence and avoidance of casual sex. Thirty-nine percent took some steps to reduce risk of infection by avoiding transfusion with unscreened blood and testing for HIV status. Using multiple logistic regressions, the factors affecting the reported changes were identified. The application of health belief model shows that the model cannot wholly explain the changes in behavior. The role of female powerlessness in safer sex decision-making is noted. Despite the limitations of the study, the need for a sustained AIDS prevention campaign is stressed. The implications of the study for AIDS programs and research are highlighted
Two-Loop Quantum Corrections of Scalar QED with Non-Minimal Chern-Simons Coupling
We investigate two-loop quantum corrections to non-minimally coupled
Maxwell-Chern-Simons theory. The non-minimal gauge interaction represents the
magnetic moment interaction between the charged scalar and the electromagnetic
field. We show that the one-loop renormalizability of the theory found in
previous work does not survive to the two-loop level. However, with an
appropriate choice of the non-minimal coupling constant, it is possible to
renormalize the two-loop effective potential and hence render it potentially
useful for a detailed analysis of spontaneous symmetry breaking induced by
radiative corrections.Comment: 29 pages, including 21 figures. One author added, some formulae
corrected and references adde
Inclusive School Community: Why is it so Complex?
This paper addresses the question: why is it so hard for school communities to respond to diversity in learners, staff and parents in inclusive ways? The authors draw on theory and recent professional experience in Queensland, Australia, to offer four guiding principles that address traditional assumptions about learning that result in inequality of opportunity and outcomes for students. The authors suggest these principles to support the development of a more inclusive school community: (1) develop a learning community incorporating a critical friend; (2) value and collaborate with parents and the broader community; (3) engage students as citizens in school review and develop¬ment; and (4) support teachers’ critical engagement with inclusive ideals and practices. The authors describe how the principles can work in concert in a school community
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