There are indications of a lower bound on magnetic fields
in the intergalactic media. Since magnetic fields on such large scales are
difficult to generate in the late universe, this might point to inflationary
magnetogenesis as the origin of intergalactic magnetic fields. If the magnetic
fields are generated during inflation, they are naturally correlated with the
inflaton perturbations in a general class of models. This leads to a
consistency relation between the power spectrum of primordial magnetic fields
and the non-Gaussian three-point cross-correlation of magnetic fields with the
inflaton perturbation. The size of non-Gaussianity can be expressed in a new
magnetic non-linearity parameter b_NL. In the flattened shape where the
non-Gaussianity is maximal, b_NL can be as large as 5000.
In this talk I will first review static black holes in
Kaluza-Klein theory. It is well-known that within this theory there exist black
strings which are non-uniform along the Kaluza-Klein circle. Using numerical
methods, I will explain how to construct (for the first time) non-uniform black
strings in D>10, where D is the total number of spacetime dimensions. The
stability of such black objects has not been discussed before, and in the last
part of the talk I will explain how one can study the stability of non-uniform
black strings using Penrose inequalities. This will lead to a new conjecture
for the phase diagram of static Kaluza-Klein black holes.
The fact that the quantum wavefunction of a many-particle system is a function on a high-dimensional configuration space, rather than on spacetime, has led some to suggest that any realist understanding of quantum mechanics must regard configuration space as more fundamental than spacetime. Worse, it seems that a wavefunction monist ontology cannot help itself to talk of "configuration space" at all, without particles for the configurations to be configurations of. The wavefunction, it might seem, threatens to become a function defined on a high-dimensional space whose relation to spacetime is obscure. I will argue that such worries are misplaced.
In my talk, I will discuss various families of quantum
low-density parity check
(LDPC) codes and their fault tolerance. Such codes yield finite code rates and
at the same time
simplify error correction and encoding due to low-weight stabilizer
generators. As an example, a large family of
hypergraph-product codes is considered. Of particular interest are families of
quantum LDPC codes with finite rate and distance scaling as square root of
blocklength since this represents the best known exponent in
distance scaling, even for codes of dimensionality 1. In relation to such
codes, we show that any family of LDPC codes, quantum or classical,
where distance scales as a positive power of the block length, $d
\propto n^\alpha$, $\alpha>0$ ($\alpha<1$ for "bad"
codes), can correct all errors with certainty if the
error rate per qubit is sufficiently small. We specifically
analyze the case of LDPC version of the quantum
hypergraph-product codes recently suggested by Tillich and Z\'emor. These codes are a
finite-rate generalization of the toric codes, and, for sufficiently
large quantum computers, offer an advantage over the toric codes.
An exciting new prospect in condensed matter physics is
the possibility of realizing fractional quantum Hall
states in simple lattice models without a large external magnetic
field, which are called fractional Chern insulators. A fundamental question is whether qualitatively new
states can be realized on the lattice as compared with ordinary
fractional quantum Hall states. Here we propose new symmetry-enriched topological
states, topological nematic states, which are a dramatic consequence of
the interplay between the lattice translational symmetry and
topological properties of these fractional Chern insulators. The
topological nematic states are realized in a partially filled flat band with a
Chern number N, which can be mapped to an N-layer quantum Hall
system on a regular lattice. However, in the topological nematic states
the lattice dislocations become non-Abelian defects which create
"worm holes" connecting the effective layers, and effectively change
the topology of the space. Such topology-changing defects, which
we name as "genons", can also be defined in other physical systems. We develop methods to compute the projective
non-abelian braiding statistics of the genons, and we find the braiding
is given by adiabatic modular transformations, or Dehn twists,
of the topological state on the effective genus g surface. We find
situations where the
> genons have quantum dimension 2 and can be used for
universal topological quantum computing (TQC), while the host
topological state is by itself non-universal for TQC.
Chameleon gravity is
a scalar-tensor theory that mimics general relativity in the Solar System. The
scalar degree of freedom is hidden in high-density environments because the
effective mass of the chameleon scalar depends on the trace of the
stress-energy tensor. In the early Universe, when the trace of the
stress-energy tensor is nearly zero, the chameleon is very light and Hubble
friction prevents it from reaching its potential minimum. Whenever a
particle species becomes non-relativistic, however, the trace of the
stress-energy tensor is temporarily nonzero, and the chameleon begins to
roll. I will show that these "kicks" to the chameleon field
have catastrophic consequences for chameleon gravity. The velocity imparted
to the chameleon is sufficiently large that the chameleon's mass changes
rapidly as it slides past its potential minimum. This nonadiabatic
process shatters the chameleon field by generating extremely high-energy
perturbations, casting doubt on chameleon gravity's viability as an alternative
to general relativity.
Some recent searches for quantum gravity signatures using
observations of distant astrophysical sources will be discussed, focusing on
the search for Lorentz invariance violation (LIV) in the form of a dependence
of the photon propagation speed on its energy. Fermi gamma-ray space telescope
observations of ~8 keV to ~30 GeV photons from a short (< 1 s) gamma-ray
burst (GRB 090510) at a cosmological distance (z = 0.903), enabled for the
first time to put a direct time of flight limit on a possible linear variation of
the speed of light with photon energy that is beyond the Planck scale.
Parameterizing
|v/c-1| = E/E_{QG} our most conservative limits are
E_{QG}/E_{Planck}
> 1.2, while less conservative limits are up to 1-2
orders of
magnitude stricter. Other types of astrophysical searches
for LIV will be briefly outlined, along with some prospects for the future.
I will discuss the central role of correlations in
thermodynamic directionality, how strong correlations can distort the
thermodynamic arrow and contrast these distortions in both the classical and
quantum regimes. These distortions constitute non-linear entanglement witnesses,
and give rise to a rich information-theoretic structure. I shall explain how
these results are then cast into the language of fluctuation theorems to derive
a generalized exchange fluctuation theorem, and discuss the limitations of such
a framework.
String-like objects arise in many quantum field theories.
Well known examples include flux tubes in QCD and cosmic strings. To a first approximation,
their dynamics is governed by the Nambu-Goto action, but for QCD flux tubes
numerical calculations of the energy levels of these objects have become so
accurate that a systematic understanding of corrections to this simple
description is desirable.
In the first part of my talk, I discuss an effective
field theory describing long relativistic strings. The construction parallels
that of the chiral Lagrangian in that it is based on the pattern of symmetry
breaking. To compare with previous works, I will present the results of the
calculation of the S-matrix describing the scattering of excitations on the
string worldsheet.
In the second part of my talk, I will discuss critical
strings from the same point of view and show that the worldsheet S-matrix in
this case is non-trivial but can be calculated exactly. I will show that it
encodes the familiar square-root formula for the energy levels of the string,
the Hagedorn behavior of strings, and argue that the theory on the string
worldsheet behaves like a 1+1 dimensional theory of quantum gravity rather than
a field theory.
If time permits, I will return to the task of computing
the energy levels of flux-tubes using lessons learned from the second part of
my talk.
We present new results on the performance of jet substructure techniques
and their use in distinguishing the signatures of new boosted massive particles
from the QCD background. Advanced approaches to jet reconstruction using jet
grooming algorithms such as filtering, trimming, and pruning are compared.
Measurements of the jet invariant mass for each jet algorithm are compared both
at the particle level to multiple Monte Carlo event generators and at the
detector level for several configurations of the jet grooming algorithms.
The performance of these strategies and improvements in search
sensitivity for new boosted hadronic particles are compared. Recent results
using these techniques for both boosted RPV gluinos and top quark pairs from
new particles are presented. The result is a comprehensive foundation for the
use of substructure algorithms in the search for new physics at the LHC
Anderson localization - quantum suppression of carrier
diffusion due to disorders - is a basic notion of modern condensed matter
physics. Here I will talk about a novel localization phenomenon totally
contrary to this common wisdom. Strikingly, it is purely of strong interaction
origin and occurs without the assistance of disorders. Specifically, by
combined numerical (density matrix renormalization group) method and analytic
analysis, we show that a single hole injected in a quantum antiferromagnetic
ladder is generally self-localized even though the system respects the
translational symmetry. The localization length is found to monotonically
decrease with the increase of leg number, indicating stronger self-localization
in the two-dimensional limit. We find that a peculiar coupling between the
doped charge and the quantum spin background causes quantum interference among
different hole paths. The latter brings the hole's itinerant motion to a halt,
a phenomenological analogy to Anderson localization. Our findings are opposite
to the common belief of the quasiparticle picture for the doped hole and unveil
a completely new paradigm for lightly doped Mott insulators.