4,753 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
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
Why do These Match? Explaining the Behavior of Image Similarity Models
Explaining a deep learning model can help users understand its behavior and
allow researchers to discern its shortcomings. Recent work has primarily
focused on explaining models for tasks like image classification or visual
question answering. In this paper, we introduce Salient Attributes for Network
Explanation (SANE) to explain image similarity models, where a model's output
is a score measuring the similarity of two inputs rather than a classification
score. In this task, an explanation depends on both of the input images, so
standard methods do not apply. Our SANE explanations pairs a saliency map
identifying important image regions with an attribute that best explains the
match. We find that our explanations provide additional information not
typically captured by saliency maps alone, and can also improve performance on
the classic task of attribute recognition. Our approach's ability to generalize
is demonstrated on two datasets from diverse domains, Polyvore Outfits and
Animals with Attributes 2. Code available at:
https://github.com/VisionLearningGroup/SANEComment: Accepted at ECCV 202
Kondo effect of Co adatoms on Ag monolayers on noble metal surfaces
The Kondo temperature of single Co adatoms on monolayers of Ag on Cu
and Au(111) is determined using Scanning Tunneling Spectroscopy. of Co on
a single monolayer of Ag on either substrate is essentially the same as that of
Co on a homogenous Ag(111) crystal. This gives strong evidence that the
interaction of surface Kondo impurities with the substrate is very local in
nature. By comparing found for Co on Cu, Ag, and Au (111)-surfaces we
show that the energy scale of the many-electron Kondo state is insensitive to
the properties of surface states and to the energetic position of the projected
bulk band edges.Comment: 4 pages, 3 figure
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