4,806 research outputs found
Critical Galton-Watson processes: The maximum of total progenies within a large window
Consider a critical Galton-Watson process Z={Z_n: n=0,1,...} of index
1+alpha, alpha in (0,1]. Let S_k(j) denote the sum of the Z_n with n in the
window [k,...,k+j), and M_m(j) the maximum of the S_k with k moving in [0,m-j].
We describe the asymptotic behavior of the expectation EM_m(j) if the window
width j=j_m is such that j/m converges in [0,1] as m tends to infinity. This
will be achieved via establishing the asymptotic behavior of the tail
probabilities of M_{infinity}(j).Comment: 28 page
Enhanced Binding in non-relativistic QED
We consider a spinless particle coupled to a photon field and prove that even
if the Schr\"odinger operator does not have eigenvalues the system
can have a ground state. We describe the coupling by means of the Pauli-Fierz
Hamiltonian and our result holds in the case where the coupling constant
is small.Comment: simplified versio
Cavity Mode Frequencies and Strong Optomechanical Coupling in Two-Membrane Cavity Optomechanics
We study the cavity mode frequencies of a Fabry-P\'erot cavity containing two
vibrating dielectric membranes. We derive the equations for the mode resonances
and provide approximate analytical solutions for them as a function of the
membrane positions, which act as an excellent approximation when the relative
and center-of-mass position of the two membranes are much smaller than the
cavity length. With these analytical solutions, one finds that extremely large
optomechanical coupling of the membrane relative motion can be achieved in the
limit of highly reflective membranes when the two membranes are placed very
close to a resonance of the inner cavity formed by them. We also study the
cavity finesse of the system and verify that, under the conditions of large
coupling, it is not appreciably affected by the presence of the two membranes.
The achievable large values of the ratio between the optomechanical coupling
and the cavity decay rate, , make this two-membrane system the
simplest promising platform for implementing cavity optomechanics in the strong
coupling regime.Comment: Contribution to the special issue on "Nano-optomechanics" in Journal
of Optics, edited by I. Wilson-Rae, J. Sankey and H. Offerhau
Optimal fidelity of teleportation of coherent states and entanglement
We study the Braunstein-Kimble protocol for the continuous variable
teleportation of a coherent state. We determine lower and upper bounds for the
optimal fidelity of teleportation, maximized over all local Gaussian operations
for a given entanglement of the two-mode Gaussian state shared by the sender
(Alice) and the receiver (Bob). We also determine the optimal local
transformations at Alice and Bob sites and the corresponding maximum fidelity
when one restricts to local trace-preserving Gaussian completely positive maps.Comment: 10 pages, 2 figure
Equation of state of two--dimensional He at zero temperature
We have performed a Quantum Monte Carlo study of a two-dimensional bulk
sample of interacting 1/2-spin structureless fermions, a model of He
adsorbed on a variety of preplated graphite substrates. We have computed the
equation of state and the polarization energy using both the standard
fixed-node approximate technique and a formally exact methodology, relying on
bosonic imaginary-time correlation functions of operators suitably chosen in
order to extract fermionic energies. As the density increases, the fixed-node
approximation predicts a transition to an itinerant ferromagnetic fluid,
whereas the unbiased methodology indicates that the paramagnetic fluid is the
stable phase until crystallization takes place. We find that two-dimensional
He at zero temperature crystallizes from the paramagnetic fluid at a
density of 0.061 \AA with a narrow coexistence region of about 0.002
\AA. Remarkably, the spin susceptibility turns out in very good
agreement with experiments.Comment: 7 pages, 7 figure
Accuracy and efficiency of electronic energies from systematic molecular fragmentation
A systematic method for approximating the ab initio electronic energy of molecules from the energies of molecular fragments is tested on a large sample of typical organic molecular structures. The detailed methods, including some additional refinements for molecular rings and long range interactions, are described. The accuracy and computational efficiency of the systematic hierarchy of methods are reported
Who brings home the bacon? The influence of context on partners' contributions to the household income
Background: Female-breadwinner families represent a relatively new phenomenon in Europe. Little is known about the determinants of this couple type, which sensibly diverts from the traditional economic superiority of men within the household.Objective: This paper studies the contextual correlates of partners’ contribution to the household income, distinguishing between female-breadwinner, male-breadwinner, and equal-income couples. In particular, it focuses on the role of male unemployment rate and the prevalence of gender-egalitarian attitudes as possible explanations for the emergence of female-breadwinner and equal-income couples across European regions and countries.Methods: Using data from the fifth round (2010/2011) of the European Social Survey, integrated with data from the Eurostat database, we model the categorical variable identifying the couple type (male-breadwinner, female-breadwinner, or equal-income couple) by using a multilevel multinomial logistic regression model where individuals are nested within regions and countries.Results: The prevalence of female-breadwinner, male-breadwinner, and equal-income couples varies considerably across European countries as well as within countries. The prevalence of female-breadwinner couples is positively associated with male unemployment, while it is not influenced by the diffusion of gender-egalitarian attitudes. However, the diffusion of gender-egalitarian attitudes matters for explaining the variation in the prevalence of equal-income couples across Europe.Contribution: We add to the literature on partners’ contributions to household income by analysing the spatial distribution and the contextual correlates of female-breadwinner, male-breadwinner, and equal-income couples across European countries and regions.<br/
Multi-objective and multi-phase 4d trajectory optimization for climate mitigation-oriented flight planning
Aviation contribution to global warming and anthropogenic climate change is increasing every year. To reverse this trend, it is crucial to identify greener alternatives to current aviation technologies and paradigms. Research in aircraft operations can provide a swift response to new environmental requirements, being easier to exploit on current fleets. This paper presents the development of a multi-objective and multi-phase 4D trajectory optimization tool to be integrated within a Flight Management System of a commercial aircraft capable of performing 4D trajectory tracking in a Free Route Airspace context. The optimization algorithm is based on a Chebyshev pseudospectral method, adapted to perform a multi-objective optimization with the two objectives being the Direct Operating Cost and the climate cost of a climb-cruise-descent trajectory. The climate cost function applies the Global Warming Potential metric to derive a comprehensive cost index that includes the climate forcing produced by CO2 and non-CO2 emissions, and by the formation of aircraft-induced clouds. The output of the optimization tool is a set of Pareto-optimal 4D trajectories among which the aircraft operator can choose the best solution that satisfies both its economic and environmental goals
Local pressure-induced metallization of a semiconducting carbon nanotube in a crossed junction
The electronic and vibrational density of states of a semiconducting carbon
nanotube in a crossed junction was investigated by elastic and inelastic
scanning tunneling spectroscopy. The strong radial compression of the nanotube
at the junction induces local metallization spatially confined to a few nm. The
local electronic modifications are correlated with the observed changes in the
radial breathing and G-band phonon modes, which react very sensitively to local
mechanical deformation. In addition, the experiments reveal the crucial
contribution of the image charges to the contact potential at nanotube-metal
interfaces
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