12,841 research outputs found
Ultralow threshold graded-index separate-confinement heterostructure single quantum well (Al,Ga)As lasers
Broad area gradedâindex separateâconfinement heterostructure single quantum well lasers grown by molecularâbeam epitaxy (MBE) with threshold current density as low as 93 A/cm^2 (520 ÎŒm long) have been fabricated. Buried lasers formed from similarly structured MBE material with liquid phase epitaxy regrowth had threshold currents at submilliampere levels when high reflectivity coatings were applied to the end facets. A cw threshold current of 0.55 mA was obtained for a laser with facet reflectivities of âŒ80%, a cavity length of 120 ÎŒm, and an active region stripe width of 1 ÎŒm. These devices driven directly with logic level signals have switchâon delays <50 ps without any current prebias. Such lasers permit fully onâoff switching while at the same time obviating the need for bias monitoring and feedback control
Surgery and the Spectrum of the Dirac Operator
We show that for generic Riemannian metrics on a simply-connected closed spin
manifold of dimension at least 5 the dimension of the space of harmonic spinors
is no larger than it must be by the index theorem. The same result holds for
periodic fundamental groups of odd order.
The proof is based on a surgery theorem for the Dirac spectrum which says
that if one performs surgery of codimension at least 3 on a closed Riemannian
spin manifold, then the Dirac spectrum changes arbitrarily little provided the
metric on the manifold after surgery is chosen properly.Comment: 23 pages, 4 figures, to appear in J. Reine Angew. Mat
Contact mechanics with adhesion: Interfacial separation and contact area
We study the adhesive contact between elastic solids with randomly rough,
self affine fractal surfaces. We present molecular dynamics (MD) simulation
results for the interfacial stress distribution and the wall-wall separation.
We compare the MD results for the relative contact area and the average
interfacial separation, with the prediction of the contact mechanics theory of
Persson. We find good agreement between theory and the simulation results. We
apply the theory to the system studied by Benz et al. involving polymer in
contact with polymer, but in this case the adhesion gives only a small
modification of the interfacial separation as a function of the squeezing
pressure.Comment: 5 pages, 4 figure
Finitely Many Dirac-Delta Interactions on Riemannian Manifolds
This work is intended as an attempt to study the non-perturbative
renormalization of bound state problem of finitely many Dirac-delta
interactions on Riemannian manifolds, S^2, H^2 and H^3. We formulate the
problem in terms of a finite dimensional matrix, called the characteristic
matrix. The bound state energies can be found from the characteristic equation.
The characteristic matrix can be found after a regularization and
renormalization by using a sharp cut-off in the eigenvalue spectrum of the
Laplacian, as it is done in the flat space, or using the heat kernel method.
These two approaches are equivalent in the case of compact manifolds. The heat
kernel method has a general advantage to find lower bounds on the spectrum even
for compact manifolds as shown in the case of S^2. The heat kernels for H^2 and
H^3 are known explicitly, thus we can calculate the characteristic matrix.
Using the result, we give lower bound estimates of the discrete spectrum.Comment: To be published in JM
Human endogenous retrovirus K106 (HERV-K106) was infectious after the emergence of anatomically modern humans.
HERV-K113 and HERV-K115 have been considered to be among the youngest HERVs because they are the only known full-length proviruses that are insertionally polymorphic and maintain the open reading frames of their coding genes. However, recent data suggest that HERV-K113 is at least 800,000 years old, and HERV-K115 even older. A systematic study of HERV-K HML2 members to identify HERVs that may have infected the human genome in the more recent evolutionary past is lacking. Therefore, we sought to determine how recently HERVs were exogenous and infectious by examining sequence variation in the long terminal repeat (LTR) regions of all full-length HERV-K loci. We used the traditional method of inter-LTR comparison to analyze all full length HERV-Ks and determined that two insertions, HERV-K106 and HERV-K116 have no differences between their 5' and 3' LTR sequences, suggesting that these insertions were endogenized in the recent evolutionary past. Among these insertions with no sequence differences between their LTR regions, HERV-K106 had the most intact viral sequence structure. Coalescent analysis of HERV-K106 3' LTR sequences representing 51 ethnically diverse individuals suggests that HERV-K106 integrated into the human germ line approximately 150,000 years ago, after the emergence of anatomically modern humans
Practical long-distance quantum key distribution system using decoy levels
Quantum key distribution (QKD) has the potential for widespread real-world
applications. To date no secure long-distance experiment has demonstrated the
truly practical operation needed to move QKD from the laboratory to the real
world due largely to limitations in synchronization and poor detector
performance. Here we report results obtained using a fully automated, robust
QKD system based on the Bennett Brassard 1984 protocol (BB84) with low-noise
superconducting nanowire single-photon detectors (SNSPDs) and decoy levels.
Secret key is produced with unconditional security over a record 144.3 km of
optical fibre, an increase of more than a factor of five compared to the
previous record for unconditionally secure key generation in a practical QKD
system.Comment: 9 page
A conserved filamentous assembly underlies the structure of the meiotic chromosome axis.
The meiotic chromosome axis plays key roles in meiotic chromosome organization and recombination, yet the underlying protein components of this structure are highly diverged. Here, we show that 'axis core proteins' from budding yeast (Red1), mammals (SYCP2/SYCP3), and plants (ASY3/ASY4) are evolutionarily related and play equivalent roles in chromosome axis assembly. We first identify 'closure motifs' in each complex that recruit meiotic HORMADs, the master regulators of meiotic recombination. We next find that axis core proteins form homotetrameric (Red1) or heterotetrameric (SYCP2:SYCP3 and ASY3:ASY4) coiled-coil assemblies that further oligomerize into micron-length filaments. Thus, the meiotic chromosome axis core in fungi, mammals, and plants shares a common molecular architecture, and likely also plays conserved roles in meiotic chromosome axis assembly and recombination control
Families index theorem in supersymmetric WZW model and twisted K-theory: The SU(2) case
The construction of twisted K-theory classes on a compact Lie group is
reviewed using the supersymmetric Wess-Zumino-Witten model on a cylinder. The
Quillen superconnection is introduced for a family of supercharges parametrized
by a compact Lie group and the Chern character is explicitly computed in the
case of SU(2). For large euclidean time, the character form is localized on a
D-brane.Comment: Version 2: Essentially simplified proof of the main result using a
map from twisted K-theory to gerbes modulo the twisting gerbe; references
added + minor correction
Systematically Asymmetric Heliospheric Magnetic Field: Evidence for a Quadrupole Mode and Non-axisymmetry with Polarity Flip-flops
Recent studies of the heliospheric magnetic field (HMF) have detected
interesting, systematic hemispherical and longitudinal asymmetries which have a
profound significance for the understanding of solar magnetic fields. The in
situ HMF measurements since 1960s show that the heliospheric current sheet
(HCS) is systematically shifted (coned) southward during solar minimum times,
leading to the concept of a bashful ballerina. While temporary shifts can be
considerably larger, the average HCS shift (coning) angle is a few degrees,
less than the tilt of the solar rotation axis. Recent solar
observations during the last two solar cycles verify these results and show
that the magnetic areas in the northern solar hemisphere are larger and their
intensity weaker than in the south during long intervals in the late declining
to minimum phase. The multipole expansion reveals a strong quadrupole term
which is oppositely directed to the dipole term. These results imply that the
Sun has a symmetric quadrupole S0 dynamo mode that oscillates in phase with the
dominant dipole A0 mode. Moreover, the heliospheric magnetic field has a strong
tendency to produce solar tilts that are roughly opposite in longitudinal
phase. This implies is a systematic longitudinal asymmetry and leads to a
"flip-flop" type behaviour in the dominant HMF sector whose period is about 3.2
years. This agrees very well with the similar flip-flop period found recently
in sunspots, as well as with the observed ratio of three between the activity
cycle period and the flip-flop period of sun-like stars. Accordingly, these
results require that the solar dynamo includes three modes, A0, S0 and a
non-axisymmetric mode. Obviously, these results have a great impact on solar
modelling.Comment: 13 pages, 4 figures, Solar Physics, Topical Issue of Space Climate
Symposium, in pres
Obstructing extensions of the functor Spec to noncommutative rings
In this paper we study contravariant functors from the category of rings to
the category of sets whose restriction to the full subcategory of commutative
rings is isomorphic to the prime spectrum functor Spec. The main result reveals
a common characteristic of these functors: every such functor assigns the empty
set to M_n(C) for n >= 3. The proof relies, in part, on the Kochen-Specker
Theorem of quantum mechanics. The analogous result for noncommutative
extensions of the Gelfand spectrum functor for C*-algebras is also proved.Comment: 23 pages. To appear in Israel J. Math. Title was changed;
introduction was rewritten; old Section 2 was removed to streamline the
exposition; final section was rewritten to omit an error in the earlier proof
of Theorem 1.
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