Quantum chaos is the study
of quantum systems whose classical description is chaotic.
How does chaos manifest itself in
the quantum world? In recent years, attempts have been made
to address this question from the perspective of quantum information
theory. It is in this spirit that we study the connection
between quantum chaos and information gain in the
time series of a measurement record used for quantum tomography. The
record is obtained as a sequence of expectation values of a Hermitian operator
evolving under repeated application of the Floquet operator of
the quantum kicked top on a large ensemble of identical systems. We
find an increase in information gain and hence higher fidelities
in the process when the Floquet maps employed increase in chaoticity. We make
predictions for the information gain using random matrix theory
in the fully chaotic regime and show a remarkable agreement between
the two.
Two-dimensional gauge
theories with (0,2) supersymmetry admit a much broader, and more interesting,
class of solutions than their better studied (2,2) counterparts. In this talk,
we will explore some of the possibilities that are offered by this additional
freedom. The moduli spaces we find can be interpreted as the target spaces for
heterotic strings moving in backgrounds with non-trivial H-flux. A remarkable
relationship between (0,2) gauge anomalies and H-flux will emerge.
Fluctuations in the cosmic
microwave background (CMB) contain information which has been pivotal in
establishing the current cosmological model. These data can also be used to
test well-motivated additions to this model, such as
cosmic textures. Textures are a type of topological defect that
can be produced during a cosmological phase transition in the early universe,
and which leave characteristic hot and cold spots in the CMB. We apply Bayesian
methods to carry out an optimal test of the texture hypothesis, using
full-sky data from the Wilkinson Microwave Anisotropy Probe. We conclude that
current data do not warrant augmenting the standard cosmological model
with textures. We rule out at 95% confidence models that predict more than
6 detectable cosmic textures on the full sky.
We expound several principles in an attempt to clarify
the debate over infrared loop corrections to the primordial scalar and tensor
power spectra from inflation. Among other things we note that existing
proposals for nonlinear extensions of the scalar fluctuation field $\zeta$
introduce new ultraviolet divergences which no one understands how to
renormalize. Loop corrections and higher correlators of these putative
observables would also be enhanced by inverse powers of the slow roll parameter
$\epsilon$. We propose an extension which might be better behaved.
We analyze the
implications for Susy theories of a Higgs to di-photon rate enhanced, if
compared to the Standard Model prediction. We show how models predicting a
sizable enhancement have generically an electroweak vacuum that is not
absolutely stable. In particular we discuss the only viable scenario that can
predict sizable new physics effects in the di-photon rate in the framework of
the MSSM: a scenario with light and heavily mixed staus. We conclude with the
phenomenology of this model and with the prospects of probing it at the LHC,
through the direct production of light staus.
Cosmological
birefringence is a postulated rotation of the linear polarization of photons
that arises due to a Chern-Simons coupling of a new scalar field to
electromagnetism. In particular, it appears as a generic feature of simple
quintessence models for Dark Energy, and therefore, should it be detected,
could provide insight into the microphysics of cosmic acceleration. Prior work
has sought this rotation, assuming the rotation angle to be uniform across the
sky, by looking for the parity-violating TB and EB correlations in the CMB
temperature/polarization. However, if the scalar field that gives rise to
cosmological birefringence has spatial fluctuations, then the rotation angle
may vary across the sky. In this talk, I will present the results of the first
CMB-based search for direction-dependent cosmological birefringence, using
WMAP-7 data, and report the constraint on the rotation-angle power spectrum for
all multipoles up to the resolution of the instrument. I will discuss the
implications for a specific models for rotation, and show forecasts for Planck
and future experiments. I will then conclude with a brief discussion of other
exotic physical models, such as chiral gravity, and astrophysical scenarios,
such as inhomogeneous reionization, that can be probed using the same analysis.
I will recall the
main motivations for considering spin foam models in their Group Field Theory
(GFT) versions, which are quantum field theories defined on group manifolds. As
for any other quantum field theory, a fully consistent definition of the latter
must involve renormalization. I will briefly review a specific class of GFTs,
called tensorial, for which progress in this direction has recently been possible.
A new just-renormalizable model, in three dimensions and on the SU(2) group,
will be presented. Interestingly, it includes the geometric constraint of the
Boulatov model, and might as such be related to Euclidean quantum gravity in
three dimensions. Furthermore, this opens the way to a similar analysis of
current 4d gravity spin foam models.
A "one-time program" for a channel C is a
hypothetical cryptographic primitive by which a user may evaluate C on only one
input state of her choice. (Think Mission Impossible: "this tape
will self-destruct in five seconds.") One-time programs cannot be
achieved without extra assumptions such as secure hardware; it is known that
one-time programs can be constructed for classical channels using a very basic
hypothetical hardware device called a "one-time memory".
Our main result is the construction of a one-time program
for any quantum channel specified by a circuit, assuming the same basic
one-time memory devices used for classical channels. The construction
achieves universal composability -- the strongest possible security -- against
any quantum adversary. It employs a technique for computation on
authenticated quantum data and we present a new authentication scheme called
the "trap" scheme for this purpose.
Finally, we observe that there is a pathological class of
channels that admit trivial one-time programs without any hardware assumptions
whatsoever. We characterize these channels, assuming an interesting
conjecture on the invertible (or decoherence-free) subspaces of an arbitrary
channel.
Joint work with Anne Broadbent and Douglas Stebila.
http://arxiv.org/abs/1211.1080
Pulsars are rotating magnetized neutron stars that emit
broadband pulses of radiation. Our ability to model magnetospheres of pulsars has been hampered by the difficulty of solving the self-consistent behavior of strongly magnetized relativistic plasmas. I will describe
recent progress in numerical modeling of magnetically-dominated plasmas and show applications to pulsar magnetospheres in increasing levels of realism, including ideal and resistive force-free,
relativistic MHD and kinetic models. The knowledge of the magnetospheric shape together with the new observations of gamma-ray emission from pulsars with Fermi telescope allow to directly constrain the location and physics of the acceleration regions in the magnetosphere and the origin of high energy emission. The pulsar magnetosphere is a prototype for other strongly magnetized
astrophysical objects, and I will discuss how the lessons from pulsar modeling can be useful in predicting EM counterparts to gravitational wave sources.
The information paradox and the infall problem have been
long-standing puzzles in the understanding of black holes. The idea of free
infall is in considerable tension with unitarity of the evaporation process and
recent developements have made this tension sharp. In the first part of my talk
I will address the information question and argue that unitarty requires every
quantum of radiation leaving the black hole to carry information about the
initial state. Unitary evaporation is thus inconsistent with an
information-free horizon at every step of the evaporation process and this
extends the recent firewall result. This immediately raises the question of
What is the required horizon-scale structure? I will show an explicit
construction of near-extremal black hole microstates which put flesh and branes
on the fuzzball proposal and may realize firewalls in string theory. In the
second part I will address the question of What happens to an observer falling
into a fuzzball? I will argue that the answer is dependent on the energy scale
of the infalling observer.
We study the robustness of quantum information stored in
the degenerate ground space of a local, frustration-free Hamiltonian with
commuting terms on a 2D spin lattice. On one hand, a macroscopic energy barrier
separating the distinct ground states under local transformations would protect
the information from thermal fluctuations. On the other hand, local topological
order would shield the ground space from static perturbations.
Here we demonstrate that local topological order implies
a constant energy barrier, thus inhibiting thermal stability. Joint work with
David Poulin.
arXiv:1209.5750
Warped AdS3 has isometry SL(2,R) x U(1). It is closed
related to Kerr/CFT, non local dipole theories and AdS/CMT. In this talk I will
derive the spectrum of string theory on
Warped AdS3. This is possible because the worldsheet theory can be
mapped to the worldsheet on AdS3 by a nonlocal field redefinition.