2,210 research outputs found
Analyzing flow anisotropies with excursion sets in relativistic heavy-ion collisions
We show that flow anisotropies in relativistic heavy-ion collisions can be
analyzed using a certain technique of shape analysis of excursion sets recently
proposed by us for CMBR fluctuations to investigate anisotropic expansion
history of the universe. The technique analyzes shapes (sizes) of patches above
(below) certain threshold value for transverse energy/particle number (the
excursion sets) as a function of the azimuthal angle and rapidity. Modeling
flow by imparting extra anisotropic momentum to the momentum distribution of
particles from HIJING, we compare the resulting distributions for excursion
sets at two different azimuthal angles. Angles with maximum difference in the
two distributions identify the event plane, and the magnitude of difference in
the two distributions relates to the magnitude of momentum anisotropy, i.e.
elliptic flow.Comment: 5 pages, 4 figure
Signal Recovery in Perturbed Fourier Compressed Sensing
In many applications in compressed sensing, the measurement matrix is a
Fourier matrix, i.e., it measures the Fourier transform of the underlying
signal at some specified `base' frequencies , where is the
number of measurements. However due to system calibration errors, the system
may measure the Fourier transform at frequencies
that are different from the base frequencies and where
are unknown. Ignoring perturbations of this nature can lead to major errors in
signal recovery. In this paper, we present a simple but effective alternating
minimization algorithm to recover the perturbations in the frequencies \emph{in
situ} with the signal, which we assume is sparse or compressible in some known
basis. In many cases, the perturbations can be expressed
in terms of a small number of unique parameters . We demonstrate that
in such cases, the method leads to excellent quality results that are several
times better than baseline algorithms (which are based on existing off-grid
methods in the recent literature on direction of arrival (DOA) estimation,
modified to suit the computational problem in this paper). Our results are also
robust to noise in the measurement values. We also provide theoretical results
for (1) the convergence of our algorithm, and (2) the uniqueness of its
solution under some restrictions.Comment: New theortical results about uniqueness and convergence now included.
More challenging experiments now include
Strings with a confining core in a Quark-Gluon Plasma
We consider the intersection of N different interfaces interpolating between
different vacua of an SU(N) gauge theory using the Polyakov loop order
parameter. Topological arguments show that at such a string-like junction, the
order parameter should vanish, implying that the core of this string (i.e. the
junction region of all the interfaces) is in the confining phase. Using the
effective potential for the Polyakov loop proposed by Pisarski for QCD, we use
numerical minimization technique and estimate the energy per unit length of the
core of this string to be about 2.7 GeV/fm at a temperature about twice the
critical temperature. For the parameters used, the interface tension is
obtained to be about 7 GeV/fm. Lattice simulation of pure gauge theories
should be able to investigate properties of these strings. For QCD with quarks,
it has been discussed in the literature that this symmetry may still be
meaningful, with quark contributions leading to explicit breaking of this
symmetry. With this interpretation, such {\it QGP} strings may play important
role in the evolution of the quark-gluon plasma phase and in the dynamics of
quark-hadron transition.Comment: 18 pages, 6 figures, RevTe
Current-induced gap opening in interacting topological insulator surfaces
Two-dimensional topological insulators (TIs) host gapless helical edge states
that are predicted to support a quantized two-terminal conductance.
Quantization is protected by time-reversal symmetry, which forbids elastic
backscattering. Paradoxically, the current-carrying state itself breaks the
time-reversal symmetry that protects it. Here we show that the combination of
electron-electron interactions and momentum-dependent spin polarization in
helical edge states gives rise to feedback through which an applied current
opens a gap in the edge state dispersion, thereby breaking the protection
against elastic backscattering. Current-induced gap opening is manifested via a
nonlinear contribution to the system's characteristic, which persists
down to zero temperature. We discuss prospects for realizations in recently
discovered large bulk band gap TIs, and an analogous current-induced gap
opening mechanism for the surface states of three-dimensional TIs.Comment: 6 pages, 2 figures, published versio
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