2,281 research outputs found
Environment induced incoherent controllability
We prove that the environment induced entanglement between two non
interacting, two-dimensional quantum systems S and P can be used to control the
dynamics of S by means of the initial state of P. Using a simple, exactly
solvable model, we show that both accessibility and controllability of S can be
achieved under suitable conditions on the interaction of S and P with the
environment.Comment: revtex4, 5 page
Eigenfunctions of the Laplacian and associated Ruelle operator
Let be a co-compact Fuchsian group of isometries on the Poincar\'e
disk \DD and the corresponding hyperbolic Laplace operator. Any
smooth eigenfunction of , equivariant by with real
eigenvalue , where , admits an integral
representation by a distribution \dd_{f,s} (the Helgason distribution) which
is equivariant by and supported at infinity \partial\DD=\SS^1. The
geodesic flow on the compact surface \DD/\Gamma is conjugate to a suspension
over a natural extension of a piecewise analytic map T:\SS^1\to\SS^1, the
so-called Bowen-Series transformation. Let be the complex Ruelle
transfer operator associated to the jacobian . M. Pollicott showed
that \dd_{f,s} is an eigenfunction of the dual operator for the
eigenvalue 1. Here we show the existence of a (nonzero) piecewise real analytic
eigenfunction of for the eigenvalue 1, given by an
integral formula \psi_{f,s} (\xi)=\int \frac{J(\xi,\eta)}{|\xi-\eta|^{2s}}
\dd_{f,s} (d\eta), \noindent where is a -valued
piecewise constant function whose definition depends upon the geometry of the
Dirichlet fundamental domain representing the surface \DD/\Gamma
Wigner transform and pseudodifferential operators on symmetric spaces of non-compact type
We obtain a general expression for a Wigner transform (Wigner function) on
symmetric spaces of non-compact type and study the Weyl calculus of
pseudodifferential operators on them
Lyman-tomography of cosmic infrared background fluctuations with Euclid: probing emissions and baryonic acoustic oscillations at z>10
The Euclid space mission, designed to probe evolution of the Dark Energy,
will map a large area of the sky at three adjacent near-IR filters, Y, J and H.
This coverage will also enable mapping source-subtracted cosmic infrared
background (CIB) fluctuations with unprecedented accuracy on sub-degree angular
scales. Here we propose methodology, using the Lyman-break tomography applied
to the Euclid-based CIB maps, to accurately isolate the history of CIB
emissions as a function of redshift from 10 < z < 20, and to identify the
baryonic acoustic oscillations (BAOs) at those epochs. To identify the BAO
signature, we would assemble individual CIB maps over conservatively large
contiguous areas of >~ 400 sq deg. The method can isolate the CIB spatial
spectrum by z to sub-percent statistical accuracy. We illustrate this with a
specific model of CIB production at high z normalized to reproduce the measured
Spitzer-based CIB fluctuation. We show that even if the latter contain only a
small component from high-z sources, the amplitude of that component can be
accurately isolated with the methodology proposed here and the BAO signatures
at z>~ 10 are recovered well from the CIB fluctuation spatial spectrum. Probing
the BAO at those redshifts will be an important test of the underlying
cosmological paradigm, and would narrow the overall uncertainties on the
evolution of cosmological parameters, including the Dark Energy. Similar
methodology is applicable to the planned WFIRST mission, where we show that a
possible fourth near-IR channel at > 2 micron would be beneficial.Comment: comments welcom
Measuring patchy reionisation with kSZ-21 cm correlations
We study cross-correlations of the kinetic Sunyaev-Zel'dovich effect (kSZ)
and 21 cm signals during the epoch of reionisation (EoR) to measure the effects
of patchy reionisation. Since the kSZ effect is proportional to the
line-of-sight velocity, the kSZ-21 cm cross correlation suffers from
cancellation at small angular scales. We thus focus on the correlation between
the kSZ-squared field (kSZ) and 21 cm signals. When the global ionisation
fraction is low (), the kSZ fluctuation is dominated by
rare ionised bubbles which leads to an anti-correlation with the 21 cm signal.
When , the correlation is dominated by small pockets of
neutral regions, leading to a positive correlation. However, at very high
redshifts when , the spin temperature fluctuations change the sign of
the correlation from negative to positive, as weakly ionised regions can have
strong 21 cm signals in this case. To extract this correlation, we find that
Wiener filtering is effective in removing large signals from the primary CMB
anisotropy. The expected signal-to-noise ratios for a 10-hour integration
of upcoming Square Kilometer Array data cross-correlated with maps from the
current generation of CMB observatories with 3.4~K arcmin noise and
1.7~arcmin beam over 100~deg are 51, 60, and 37 for , 0.5, and
0.9, respectively.Comment: 7pages, 7 figure
A Fatou- type theorem for harmonic functions on symmetric spaces
First published in the Bulletin of the American Mathematical Society in Vol.74, 1968, published by the American Mathematical Societ
Operator Product on Locally Symmetric Spaces of Rank One and the Multiplicative Anomaly
The global multiplicative properties of Laplace type operators acting on
irreducible rank one symmetric spaces are considered. The explicit form of the
multiplicative anomaly is derived and its corresponding value is calculated
exactly, for important classes of locally symmetric spaces and different
dimensions.Comment: Int. Journal of Modern Physics A, vol. 18 (2003), 2179-218
Medical concepts related to individual risk are better explained with "plausibility" rather than "probability"
BACKGROUND: The concept of risk has pervaded medical literature in the last decades and has become a familiar topic, and the concept of probability, linked to binary logic approach, is commonly applied in epidemiology and clinical medicine. The application of probability theory to groups of individuals is quite straightforward but can pose communication challenges at individual level. Few articles by the way have tried to focus the concept of "risk" at the individual subject level rather than at population level. DISCUSSION: The author has reviewed the conceptual framework which has led to the use of probability theory in the medical field in a time when the principal causes of death were represented by acute disease often of infective origin. In the present scenario, in which chronic degenerative disease dominate and there are smooth transitions between health and disease the use of fuzzy logic rather than binary logic would be more appropriate. The use of fuzzy logic in which more than two possible truth-value assignments are allowed overcomes the trap of probability theory when dealing with uncertain outcomes, thereby making the meaning of a certain prognostic statement easier to understand by the patient. SUMMARY: At individual subject level the recourse to the term plausibility, related to fuzzy logic, would help the physician to communicate to the patient more efficiently in comparison with the term probability, related to binary logic. This would represent an evident advantage for the transfer of medical evidences to individual subjects
Large-N Solution of the Heterotic CP(N-1) Model with Twisted Masses
We address a number of unanswered questions in the N=(0,2)-deformed CP(N-1)
model with twisted masses. In particular, we complete the program of solving
CP(N-1) model with twisted masses in the large-N limit. In hep-th/0512153
nonsupersymmetric version of the model with the Z_N symmetric twisted masses
was analyzed in the framework of Witten's method. In arXiv:0803.0698 this
analysis was extended: the large-N solution of the heterotic N=(0,2) CP(N-1)
model with no twisted masses was found. Here we solve this model with the
twisted masses switched on. Dynamical scenarios at large and small m are
studied (m is the twisted mass scale). We found three distinct phases and two
phase transitions on the m plane. Two phases with the spontaneously broken
Z_N-symmetry are separated by a phase with unbroken Z_N. This latter phase is
characterized by a unique vacuum and confinement of all U(1) charged fields
("quarks"). In the broken phases (one of them is at strong coupling) there are
N degenerate vacua and no confinement, similarly to the situation in the
N=(2,2) model. Supersymmetry is spontaneously broken everywhere except a circle
|m|=\Lambda in the Z_N-unbroken phase. Related issues are considered. In
particular, we discuss the mirror representation for the heterotic model in a
certain limiting case.Comment: 69 pages, 14 figures; typos corrected, final version to appear in
PRD; v Jan. 2014 Erratum added on p. 50, two references added and two
references update
Localization in disordered superconducting wires with broken spin-rotation symmetry
Localization and delocalization of non-interacting quasiparticle states in a
superconducting wire are reconsidered, for the cases in which spin-rotation
symmetry is absent, and time-reversal symmetry is either broken or unbroken;
these are referred to as symmetry classes BD and DIII, respectively. We show
that, if a continuum limit is taken to obtain a Fokker-Planck (FP) equation for
the transfer matrix, as in some previous work, then when there are more than
two scattering channels, all terms that break a certain symmetry are lost. It
was already known that the resulting FP equation exhibits critical behavior.
The additional symmetry is not required by the definition of the symmetry
classes; terms that break it arise from non-Gaussian probability distributions,
and may be kept in a generalized FP equation. We show that they lead to
localization in a long wire. When the wire has more than two scattering
channels, these terms are irrelevant at the short distance (diffusive or
ballistic) fixed point, but as they are relevant at the long-distance critical
fixed point, they are termed dangerously irrelevant. We confirm the results in
a supersymmetry approach for class BD, where the additional terms correspond to
jumps between the two components of the sigma model target space. We consider
the effect of random fluxes, which prevent the system localizing. We show
that in one dimension the transitions in these two symmetry classes, and also
those in the three chiral symmetry classes, all lie in the same universality
class
- …