926 research outputs found
Learning an Orchestra Conductor's Technique Using a Wearable Sensor Platform
Our study focuses on finding new input devices for a system allowing users with any skill to configure and conduct a virtual orchestra in real-time. As a first step, we conducted a user study to learn more about the interaction between a conductor's gestures and the orchestra 's reaction. During an orchestra rehearsal session, we observed a conductor's timing and gestures using the eWatch, a wrist-worn wearable computer and sensor platform. The gestures are analyzed and compared to the music of the orchestra
Induction Mapping of the 3D-Modulated Spin Texture of Skyrmions in Thin Helimagnets
Envisaged applications of skyrmions in magnetic memory and logic devices
crucially depend on the stability and mobility of these topologically
non-trivial magnetic textures in thin films. We present for the first time
quantitative maps of the magnetic induction that provide evidence for a 3D
modulation of the skyrmionic spin texture. The projected in-plane magnetic
induction maps as determined from in-line and off-axis electron holography
carry the clear signature of Bloch skyrmions. However, the magnitude of this
induction is much smaller than the values expected for homogeneous Bloch
skyrmions that extend throughout the thickness of the film. This finding can
only be understood, if the underlying spin textures are modulated along the
out-of-plane z direction. The projection of (the in-plane magnetic induction
of) helices is further found to exhibit thickness-dependent lateral shifts,
which show that this z modulation is accompanied by an (in-plane) modulation
along the x and y directions
Supercurrent-enabled Andreev reflection in a chiral quantum Hall edge state
Funding: ABM and TLS acknowledge support from the National Research Fund, Luxembourg under the grant ATTRACT, Grant No. A14/MS/7556175/MoMeSys. ABM and BB acknowledge support from St. Leonardâs European Inter-University Doctoral Scholarship of the University of St. Andrews. PR acknowledges financial support by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) within the framework of Germanyâs Excellence Strategy-EXC-2123 QuantumFrontiers-390837967.A chiral quantum Hall (QH) edge state placed in proximity to an s-wave superconductor experiences induced superconducting correlations. Recent experiments have observed the effect of proximity coupling in QH edge states through signatures of the mediating process of Andreev reflection. We present the microscopic theory behind this effect by modeling the system with a many-body Hamiltonian, consisting of an s-wave superconductor, subject to spin-orbit coupling and a magnetic field, which is coupled by electron tunneling to an integer QH edge state. By integrating out the superconductor we obtain an effective pairing Hamiltonian in the QH edge state. We clarify the qualitative appearance of nonlocal superconducting correlations in a chiral edge state and analytically predict the suppression of electron-hole conversion at low energies (Pauli blocking) and negative resistance as experimental signatures of Andreev reflection in this setup. In particular, we show how two surface phenomena of the superconductor, namely, Rashba spin-orbit coupling and a supercurrent due to the Meissner effect, are essential for the Andreev reflection. Our work provides a promising pathway to the realization of Majorana zero modes and their parafermionic generalizations.Publisher PDFPeer reviewe
Supercurrent-enabled Andreev reflection in a chiral quantum Hall edge state
A chiral quantum Hall (QH) edge state placed in proximity to an s-wave
superconductor experiences induced superconducting correlations. Recent
experiments have observed the effect of proximity-coupling in QH edge states
through signatures of the mediating process of Andreev reflection. We present
the microscopic theory behind this effect by modeling the system with a
many-body Hamiltonian, consisting of an s-wave superconductor, subject to
spin-orbit coupling and a magnetic field, which is coupled by electron
tunneling to a QH edge state. By integrating out the superconductor we obtain
an effective pairing Hamiltonian in the QH edge state. We clarify the
qualitative appearance of nonlocal superconducting correlations in a chiral
edge state and analytically predict the suppression of electron-hole conversion
at low energies (Pauli blocking) and negative resistance as experimental
signatures of Andreev reflection in this setup. In particular, we show how two
surface phenomena of the superconductor, namely Rashba spin-orbit coupling and
a supercurrent due to the Meissner effect, are essential for the Andreev
reflection. Our work provides a promising pathway to the realization of
Majorana zero-modes and their parafermionic generalizations.Comment: 15 pages, 7 figure
RNA secondary structure design
We consider the inverse-folding problem for RNA secondary structures: for a
given (pseudo-knot-free) secondary structure find a sequence that has that
structure as its ground state. If such a sequence exists, the structure is
called designable. We implemented a branch-and-bound algorithm that is able to
do an exhaustive search within the sequence space, i.e., gives an exact answer
whether such a sequence exists. The bound required by the branch-and-bound
algorithm are calculated by a dynamic programming algorithm. We consider
different alphabet sizes and an ensemble of random structures, which we want to
design. We find that for two letters almost none of these structures are
designable. The designability improves for the three-letter case, but still a
significant fraction of structures is undesignable. This changes when we look
at the natural four-letter case with two pairs of complementary bases:
undesignable structures are the exception, although they still exist. Finally,
we also study the relation between designability and the algorithmic complexity
of the branch-and-bound algorithm. Within the ensemble of structures, a high
average degree of undesignability is correlated to a long time to prove that a
given structure is (un-)designable. In the four-letter case, where the
designability is high everywhere, the algorithmic complexity is highest in the
region of naturally occurring RNA.Comment: 11 pages, 10 figure
Self-gravitating fluid shells and their non-spherical oscillations in Newtonian theory
We summarize the general formalism describing surface flows in
three-dimensional space in a form which is suitable for various astrophysical
applications. We then apply the formalism to the analysis of non-radial
perturbations of self-gravitating spherical fluid shells.
Spherically symmetric gravitating shells (or bubbles) have been used in
numerous model problems especially in general relativity and cosmology. A
radially oscillating shell was recently suggested as a model for a variable
cosmic object. Within Newtonian gravity we show that self-gravitating static
fluid shells are unstable with respect to linear non-radial perturbations. Only
shells (bubbles) with a negative mass (or with a charge the repulsion of which
is compensated by a tension) are stable.Comment: 20 pages, to be published in the Astrophysical Journal, typos
correcte
Behavior of Einstein-Rosen Waves at Null Infinity
The asymptotic behavior of Einstein-Rosen waves at null infinity in 4
dimensions is investigated in {\it all} directions by exploiting the relation
between the 4-dimensional space-time and the 3-dimensional symmetry reduction
thereof. Somewhat surprisingly, the behavior in a generic direction is {\it
better} than that in directions orthogonal to the symmetry axis. The geometric
origin of this difference can be understood most clearly from the 3-dimensional
perspective.Comment: 16 pages, REVETEX, CGPG-96/5-
Jamming coverage in competitive random sequential adsorption of binary mixture
We propose a generalized car parking problem where cars of two different
sizes are sequentially parked on a line with a given probability . The free
parameter interpolates between the classical car parking problem of only
one car size and the competitive random sequential adsorption (CRSA) of a
binary mixture. We give an exact solution to the CRSA rate equations and find
that the final coverage, the jamming limit, of the line is always larger for a
binary mixture than for the uni-sized case. The analytical results are in good
agreement with our direct numerical simulations of the problem.Comment: 4 pages 2-column RevTeX, Four figures, (there was an error in the
previous version. We replaced it (including figures) with corrected and
improved version that lead to new results and conclusions
Relativistic Elasticity
Relativistic elasticity on an arbitrary spacetime is formulated as a
Lagrangian field theory which is covariant under spacetime diffeomorphisms.
This theory is the relativistic version of classical elasticity in the
hyperelastic, materially frame-indifferent case and, on Minkowski space,
reduces to the latter in the non-relativistic limit . The field equations are
cast into a first -- order symmetric hyperbolic system. As a consequence one
obtains local--in--time existence and uniqueness theorems under various
circumstances.Comment: 23 page
Asymptotic Structure of Symmetry Reduced General Relativity
Gravitational waves with a space-translation Killing field are considered. In
this case, the 4-dimensional Einstein vacuum equations are equivalent to the
3-dimensional Einstein equations with certain matter sources. This interplay
between 4- and 3- dimensional general relativity can be exploited effectively
to analyze issues pertaining to 4 dimensions in terms of the 3-dimensional
structures. An example is provided by the asymptotic structure at null
infinity: While these space-times fail to be asymptotically flat in 4
dimensions, they can admit a regular completion at null infinity in 3
dimensions. This completion is used to analyze the asymptotic symmetries,
introduce the analog of the 4-dimensional Bondi energy-momentum and write down
a flux formula.
The analysis is also of interest from a purely 3-dimensional perspective
because it pertains to a diffeomorphism invariant 3-dimensional field theory
with {\it local} degrees of freedom, i.e., to a midi-superspace. Furthermore,
due to certain peculiarities of 3 dimensions, the description of null infinity
does have a number of features that are quite surprising because they do not
arise in the Bondi-Penrose description in 4 dimensions.Comment: 39 Pages, REVTEX, CGPG-96/5-
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