510 research outputs found
Holography for Non-Critical Superstrings
We argue that a class of ``non-critical superstring'' vacua is
holographically related to the (non-gravitational) theory obtained by studying
string theory on a singular Calabi-Yau manifold in the decoupling limit . In two dimensions, adding fundamental strings at the singularity of the CY
manifold leads to conformal field theories dual to a recently constructed class
of vacua. In four dimensions, special cases of the construction
correspond to the theory on an NS5-brane wrapped around a Riemann surface.Comment: 29 pages, harvmac; minor changes, references adde
Effective numbers of charge carriers in doped graphene: The generalized Fermi liquid approach
The single-band current-dipole Kubo formula for the dynamical conductivity of
heavily doped graphene from Kup\v{c}i\'{c} [Phys. Rev. B 91, 205428 (2015)] is
extended to a two-band model for conduction electrons in lightly doped
graphene. Using a posteriori relaxation-time approximation in the two-band
quantum transport equations, with two different relaxation rates and one
quasi-particle lifetime, we explain a seemingly inconsistent dependence of the
dc conductivity of ultraclean and dirty
lightly doped graphene samples on electron doping, in a way consistent with the
charge continuity equation. It is also shown that the intraband contribution to
the effective number of conduction electrons in vanishes at K in the ultraclean regime, but it remains finite in
the dirty regime. The present model is shown to be consistent with a picture in
which the intraband and interband contributions to are characterized by two different mobilities of conduction electrons,
the values of which are well below the widely accepted value of mobility in
ultraclean graphene. The dispersions of Dirac and plasmon resonances are
reexamined to show that the present, relatively simple expression for the
dynamical conductivity tensor can be used to study simultaneously
single-particle excitations in the dc and optical conductivity and collective
excitations in energy loss spectroscopy experiments.Comment: 13 pages, 11 figure
Cu nuclear magnetic resonance study of charge and spin stripe order in LaBaCuO
We present a Cu nuclear magnetic/quadrupole resonance study of the charge
stripe ordered phase of LBCO, with detection of previously unobserved
('wiped-out') signal. We show that spin-spin and spin-lattice relaxation rates
are strongly enhanced in the charge ordered phase, explaining the apparent
signal decrease in earlier investigations. The enhancement is caused by
magnetic, rather than charge fluctuations, conclusively confirming the
long-suspected assumption that spin fluctuations are responsible for the
wipeout effect. Observation of the full Cu signal enables insight into the spin
and charge dynamics of the stripe-ordered phase, and measurements in external
magnetic fields provide information on the nature and suppression of spin
fluctuations associated with charge order. We find glassy spin dynamics, in
agreement with previous work, and incommensurate static charge order with
charge modulation amplitude similar to other cuprate compounds, suggesting that
the amplitude of charge stripes is universal in the cuprates.Comment: 7 pages, 5 figure
Resistivity phase diagram of cuprates revisited
The phase diagram of the cuprate superconductors has posed a formidable
scientific challenge for more than three decades. This challenge is perhaps
best exemplified by the need to understand the normal-state charge transport as
the system evolves from Mott insulator to Fermi-liquid metal with doping. Here
we report a detailed analysis of the temperature (T) and doping (p) dependence
of the planar resistivity of simple-tetragonal HgBaCuO
(Hg1201), the single-CuO-layer cuprate with the highest optimal . The
data allow us to test a recently proposed phenomenological model for the
cuprate phase diagram that combines a universal transport scattering rate with
spatially inhomogeneous (de)localization of the Mott-localized hole. We find
that the model provides an excellent description of the data. We then extend
this analysis to prior transport results for several other cuprates, including
the Hall number in the overdoped part of the phase diagram, and find little
compound-to-compound variation in (de)localization gap scale. The results point
to a robust, universal structural origin of the inherent gap inhomogeneity that
is unrelated to doping-related disorder. They are inconsistent with the notion
that much of the phase diagram is controlled by a quantum critical point, and
instead indicate that the unusual electronic properties exhibited by the
cuprates are fundamentally related to strong nonlinearities associated with
subtle nanoscale inhomogeneity.Comment: 22 pages, 5 figure
Minimum and maximum against k lies
A neat 1972 result of Pohl asserts that [3n/2]-2 comparisons are sufficient,
and also necessary in the worst case, for finding both the minimum and the
maximum of an n-element totally ordered set. The set is accessed via an oracle
for pairwise comparisons. More recently, the problem has been studied in the
context of the Renyi-Ulam liar games, where the oracle may give up to k false
answers. For large k, an upper bound due to Aigner shows that (k+O(\sqrt{k}))n
comparisons suffice. We improve on this by providing an algorithm with at most
(k+1+C)n+O(k^3) comparisons for some constant C. The known lower bounds are of
the form (k+1+c_k)n-D, for some constant D, where c_0=0.5, c_1=23/32=0.71875,
and c_k=\Omega(2^{-5k/4}) as k goes to infinity.Comment: 11 pages, 3 figure
Almost Universal Anonymous Rendezvous in the Plane
Two mobile agents represented by points freely moving in the plane and
starting at two distinct positions, have to meet. The meeting, called
rendezvous, occurs when agents are at distance at most of each other and
never move after this time, where is a positive real unknown to them,
called the visibility radius. Agents are anonymous and execute the same
deterministic algorithm. Each agent has a set of private attributes, some or
all of which can differ between agents. These attributes are: the initial
position of the agent, its system of coordinates (orientation and chirality),
the rate of its clock, its speed when it moves, and the time of its wake-up. If
all attributes (except the initial positions) are identical and agents start at
distance larger than then they can never meet. However, differences between
attributes make it sometimes possible to break the symmetry and accomplish
rendezvous. Such instances of the rendezvous problem (formalized as lists of
attributes), are called feasible.
Our contribution is three-fold. We first give an exact characterization of
feasible instances. Thus it is natural to ask whether there exists a single
algorithm that guarantees rendezvous for all these instances. We give a strong
negative answer to this question: we show two sets and of feasible
instances such that none of them admits a single rendezvous algorithm valid for
all instances of the set. On the other hand, we construct a single algorithm
that guarantees rendezvous for all feasible instances outside of sets and
. We observe that these exception sets and are geometrically
very small, compared to the set of all feasible instances: they are included in
low-dimension subspaces of the latter. Thus, our rendezvous algorithm handling
all feasible instances other than these small sets of exceptions can be justly
called almost universal
Measurement of radiation-pressure-induced optomechanical dynamics in a suspended Fabry-Perot cavity
We report on experimental observation of radiation-pressure induced effects
in a high-power optical cavity. These effects play an important role in next
generation gravitational wave (GW) detectors, as well as in quantum
non-demolition (QND) interferometers. We measure the properties of an optical
spring, created by coupling of an intense laser field to the pendulum mode of a
suspended mirror; and also the parametric instability (PI) that arises from the
nonlinear coupling between acoustic modes of the cavity mirrors and the cavity
optical mode. Specifically, we measure an optical rigidity of N/m, and PI value .Comment: 4 pages, 3 figure
Chaos and Correspondence in Classical and Quantum Hamiltonian Ratchets: A Heisenberg Approach
Previous work [Gong and Brumer, Phys. Rev. Lett., 97, 240602 (2006)]
motivates this study as to how asymmetry-driven quantum ratchet effects can
persist despite a corresponding fully chaotic classical phase space. A simple
perspective of ratchet dynamics, based on the Heisenberg picture, is
introduced. We show that ratchet effects are in principle of common origin in
classical and quantum mechanics, though full chaos suppresses these effects in
the former but not necessarily the latter. The relationship between ratchet
effects and coherent dynamical control is noted.Comment: 21 pages, 7 figures, to appear in Phys. Rev.
On Byzantine Broadcast in Loosely Connected Networks
We consider the problem of reliably broadcasting information in a multihop
asynchronous network that is subject to Byzantine failures. Most existing
approaches give conditions for perfect reliable broadcast (all correct nodes
deliver the authentic message and nothing else), but they require a highly
connected network. An approach giving only probabilistic guarantees (correct
nodes deliver the authentic message with high probability) was recently
proposed for loosely connected networks, such as grids and tori. Yet, the
proposed solution requires a specific initialization (that includes global
knowledge) of each node, which may be difficult or impossible to guarantee in
self-organizing networks - for instance, a wireless sensor network, especially
if they are prone to Byzantine failures. In this paper, we propose a new
protocol offering guarantees for loosely connected networks that does not
require such global knowledge dependent initialization. In more details, we
give a methodology to determine whether a set of nodes will always deliver the
authentic message, in any execution. Then, we give conditions for perfect
reliable broadcast in a torus network. Finally, we provide experimental
evaluation for our solution, and determine the number of randomly distributed
Byzantine failures than can be tolerated, for a given correct broadcast
probability.Comment: 1
Resonant hopping of a robot controlled by an artificial neural oscillator
"The bouncing gaits of terrestrial animals (hopping, running, trotting) can be modeled as a hybrid dynamic system, with spring-mass dynamics during stance and ballistic motion during the aerial phase. We used a simple hopping robot controlled by an artificial neural oscillator to test the ability of the neural oscillator to adaptively drive this hybrid dynamic system. The robot had a single joint, actuated by an artificial pneumatic muscle in series with a tendon spring. We examined how the oscillator-robot system responded to variation in two neural control parameters: descending neural drive and neuromuscular gain. We also tested the ability of the oscillator-robot system to adapt to variations in mechanical properties by changing the series and parallel spring stiffnesses. Across a 100-fold variation in both supraspinal gain and muscle gain, hopping frequency changed by less than 10%. The neural oscillator consistently drove the system at the resonant half-period for the stance phase, and adapted to a new resonant half-period when the muscle series and parallel stiffnesses were altered. Passive cycling of elastic energy in the tendon accounted for 70-79% of the mechanical work done during each hop cycle. Our results demonstrate that hopping dynamics were largely determined by the intrinsic properties of the mechanical system, not the specific choice of neural oscillator parameters. The findings provide the first evidence that an artificial neural oscillator will drive a hybrid dynamic system at partial resonance."http://deepblue.lib.umich.edu/bitstream/2027.42/64204/1/bb8_2_026001.pd
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