28,736 research outputs found
Edge states in Open Antiferromagnetic Heisenberg Chains
In this letter we report our results in investigating edge effects of open
antiferromagnetic Heisenberg spin chains with spin magnitudes
using the density-matrix renormalization group (DMRG) method initiated by
White. For integer spin chains, we find that edge states with spin magnitude
exist, in agreement with Valence-Bond-Solid model picture. For
half-integer spin chains, we find that no edge states exist for spin
chain, but edge state exists in spin chain with , in
agreement with previous conjecture by Ng. Strong finite size effects associated
with spin dimmerization in half-integer spin chains will also be discussed.Comment: 4 pages, RevTeX 3.0, 5 figures in a separate uuencoded postscript
file. Replaced once to enlarge the acknowlegement
Screened Interaction and Self-Energy in an Infinitesimally Polarized Electron Gas via the Kukkonen-Overhauser Method
The screened electron-electron interaction and the
electron self-energy in an infinitesimally polarized electron gas are derived
by extending the approach of Kukkonen and Overhauser. Various quantities in the
expression for are identified in terms of the relevant
response functions of the electron gas. The self-energy is obtained from
by making use of the GW method which in this case
represents a consistent approximation. Contact with previous calculations is
made.Comment: 7 page
From computation to black holes and space-time foam
We show that quantum mechanics and general relativity limit the speed
of a simple computer (such as a black hole) and its memory space
to \tilde{\nu}^2 I^{-1} \lsim t_P^{-2}, where is the Planck time.
We also show that the life-time of a simple clock and its precision are
similarly limited. These bounds and the holographic bound originate from the
same physics that governs the quantum fluctuations of space-time. We further
show that these physical bounds are realized for black holes, yielding the
correct Hawking black hole lifetime, and that space-time undergoes much larger
quantum fluctuations than conventional wisdom claims -- almost within range of
detection with modern gravitational-wave interferometers.Comment: A misidentification of computer speeds is corrected. Our results for
black hole computation now agree with those given by S. Lloyd. All other
conclusions remain unchange
Avalanches of Bose-Einstein Condensates in Leaking Optical Lattices
One of the most fascinating experimental achievements of the last decade was
the realization of Bose-Einstein Condensation (BEC) of ultra-cold atoms in
optical lattices (OL's). The extraordinary level of control over these
structures allows us to investigate complex solid state phenomena and the
emerging field of ``atomtronics'' promises a new generation of nanoscale
devices. It is therefore of fundamental and technological importance to
understand their dynamical properties. Here we study the outgoing atomic flux
of BECs loaded in an one-dimensional OL with leaking edges, using a mean field
description provided by the Discrete Non-Linear Schrodinger Equation (DNLSE).
We demonstrate that the atom population inside the OL decays in avalanches of
size . For intermediate values of the interatomic interaction strength their
distribution follows a power law i.e. characterizing systems at phase transition. This scale
free behaviour of reflects the complexity and the hierarchical
structure of the underlying classical mixed phase space. Our results are
relevant in a variety of contexts (whenever DNLSE is adequate), most
prominently the light emmitance from coupled non-linear optics waveguides.Comment: 7 pages and 3 figure
Probing spacetime foam with extragalactic sources
Due to quantum fluctuations, spacetime is probably ``foamy'' on very small
scales. We propose to detect this texture of spacetime foam by looking for
core-halo structures in the images of distant quasars. We find that the Very
Large Telescope interferometer will be on the verge of being able to probe the
fabric of spacetime when it reaches its design performance. Our method also
allows us to use spacetime foam physics and physics of computation to infer the
existence of dark energy/matter, independent of the evidence from recent
cosmological observations.Comment: LaTeX, 11 pages, 1 figure; version submitted to PRL; several
references added; very useful comments and suggestions by Eric Perlman
incorporate
Tilting instability and other anomalies in the flux-lattice in some magnetic superconductors
The flux-line lattice in the compound , which has a tendency to
ferromagnetic order in the a-b plane is studied with external magnetic field
direction close to the c-axis. We show the existence of an instability where
the direction of flux-lines spontaneously tilts away from that of the applied
field near the onset of ferromagnetic order. The enhanced fluctuations in the
flux lattice and the square flux lattice recently observed are explained and
further experiments suggested.Comment: 12 pages, Latex file, no figur
Time Uncertainty in Quantum Gravitational Systems
It is generally argued that the combined effect of Heisenberg principle and
general relativity leads to a minimum time uncertainty. Most of the analyses
supporting this conclusion are based on a perturbative approach to
quantization. We consider a simple family of gravitational models, including
the Einstein-Rosen waves, in which the (non-linearized) inclusion of gravity
changes the normalization of time translations by a monotonic energy-dependent
factor. In these circumstances, it is shown that a maximum time resolution
emerges non-perturbatively only if the total energy is bounded. Perturbatively,
however, there always exists a minimum uncertainty in the physical time.Comment: (4 pages, no figures) Accepted for publication in Physical Review
Quantum communication between trapped ions through a dissipative environment
We study two trapped ions coupled to the axial phonon modes of a
one-dimensional Coulomb crystal. This system is formally equivalent to the "two
spin-boson" model. We propose a scheme to dynamically generate a maximally
entangled state of two ions within a decoherence-free subspace. Here the
phononic environment of the trapped ions, whatever its temperature and number
of modes, serves as the entangling bus. The efficient production of the pure
singlet state can be exploited to perform short-ranged quantum communication
which is essential in building up a large-scale quantum computer.Comment: 4 pages, 2 figure
Adaptive Physiology at a local scale, and implications for species distribution models under climate change scenarios.
In heterogeneous environments, individuals experience different combinations of physical and biological pressures over small spatial scales. For many marine organisms with limited adult mobility, but planktonic dispersal, localised adaptation may occur over an organism's life cycle through acclimation. Understanding the plasticity of physiology through acclimation is vital in predicting species' vulnerability to climate change. In this study we assessed local conditions on four sections (<500 m apart) of a tropical rocky shore to determine whether differences in local conditions affect the physiology of the limpet, Cellana grata. Shore sections differed in aspect, exposure and topography, and in biological characteristics such as levels of competition (grazer density) and facilitation (barnacle cover). Using a bootstrapped principal component analysis, we demonstrated that sections of shore differed significantly in terms of the relative contributions of the multiple variables measured. As a measure of physiological acclimation, detachment temperatures of limpets from each site were measured in the laboratory and higher detachment temperatures were found in limpets from shore sections with greater physical stress and lower biological stress. These results demonstrate that physiological limits can acclimate to local conditions over short temporal scales and uniform physiology should not be assumed in species distribution or climate change models
Implications of Spacetime Quantization for the Bahcall-Waxman Neutrino Bound
There is growing interest in quantum-spacetime models in which small
departures from Lorentz symmetry are governed by the Planck scale. In
particular, several studies have considered the possibility that these small
violations of Lorentz symmetry may affect various astrophysical observations,
such as the evaluation of the GZK limit for cosmic rays, the interaction of TeV
photons with the Far Infrared Background and the arrival time of photons with
different energies from cosmological sources. We show that the same
Planck-scale departures from Lorentz symmetry that lead to a modification of
the GZK limit which would be consistent with the observations reported by
AGASA, also have significant implications for the evaluation of the
Bahcall-Waxman bound on the flux of high-energy neutrinos produced by
photo-meson interactions in sources of size not much larger than the proton
photo-meson mean free path.Comment: 10 pages, Late
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