47,195 research outputs found
Revealing correlations between a system and an inaccessible environment
How can we detect that our local, controllable quantum system is correlated
with some other inaccessible environmental system? The local detection method
developed in recent years allows to realize a dynamical witness for
correlations without requiring knowledge of or access to the environment that
is correlated with the local accessible quantum system. Here, we provide a
brief summary of the theoretical method and recent experimental studies with
single photons and trapped ions coupled to increasingly complex environments.Comment: 12 pages, 3 figure
Solovay's inaccessible over a weak set theory without choice
We study the consistency strength of Lebesgue measurability for
sets over a weak set theory in a completely choiceless context. We establish a
result analogous to the Solovay-Shelah theorem
Using Jet Substructure at the LHC to Search for the Light Higgs Bosons of the CP-Violating MSSM
The CP-violating version of the Minimal Supersymmetric Standard Model (MSSM)
is an example of a model where experimental data do not preclude the presence
of light Higgs bosons in the range around 10 -- 110 GeV. Such light Higgs
bosons, decaying almost wholly to b-bbar pairs, may be copiously produced at
the LHC, but would remain inaccessible to conventional Higgs searches because
of intractable QCD backgrounds. We demonstrate that a significant number of
these light Higgs bosons would be boosted strongly enough for the pair of
daughter -jet pairs to appear as a single `fat' jet with substructure.
Tagging such jets could extend the discovery potential at the LHC into the
hitherto-inaccessible region for light Higgs bosons.Comment: LaTeX, 33 pages, 5 eps figures and 5 tables embedded. minor changes,
to appear in Physical Review
Cannibalism as a life boat mechanism
Under certain conditions a cannibalistic population can survive when food for the adults is too scarce to support a non-cannibalistic population. Cannibalism can have this lifeboat effect if (i) the juveniles feed on a resource inaccessible to the adults; and (ii) the adults are cannibalistic and thus incorporate indirectly the inaccessible resource. Using a simple model we conclude that the mechanism works when, at low population densities, the average yield, in terms of new offspring, due to the energy provided by one cannibalized juvenile is larger than one
A Small Ultrafilter Number at Every Singular Cardinal
We obtain a small ultrafilter number at . Moreover, we
develop a version of the overlapping strong extender forcing with collapses
which can keep the top cardinal inaccessible. We apply this forcing to
construct a model where is the least inaccessible and is a
model of GCH at regulars, failures of SCH at singulars, and the ultrafilter
numbers at all singulars are small
Many Different Uniformity Numbers of Yorioka Ideals
Using a countable support product of creature forcing posets, we show that
consistently, for uncountably many different functions the associated Yorioka
ideals' uniformity numbers can be pairwise different. In addition we show that,
in the same forcing extension, for two other types of simple cardinal
characteristics parametrised by reals (localisation and anti-localisation
cardinals), for uncountably many parameters the corresponding cardinals are
pairwise different.Comment: 29 pages, 4 figure
Haldane Statistics in the Finite Size Entanglement Spectra of Laughlin States
We conjecture that the counting of the levels in the orbital entanglement
spectra (OES) of finite-sized Laughlin Fractional Quantum Hall (FQH) droplets
at filling is described by the Haldane statistics of particles in a
box of finite size. This principle explains the observed deviations of the OES
counting from the edge-mode conformal field theory counting and directly
provides us with a topological number of the FQH states inaccessible in the
thermodynamic limit- the boson compactification radius. It also suggests that
the entanglement gap in the Coulomb spectrum in the conformal limit protects a
universal quantity- the statistics of the state. We support our conjecture with
ample numerical checks.Comment: 4.1 pages, published versio
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