1,281 research outputs found
Localization of cold atoms in state-dependent optical lattices via a Rabi pulse
We propose a novel realization of Anderson localization in non-equilibrium
states of ultracold atoms trapped in state-dependent optical lattices. The
disorder potential leading to localization is generated with a Rabi pulse
transfering a fraction of the atoms into a different internal state for which
tunneling between lattice sites is suppressed. Atoms with zero tunneling create
a quantum superposition of different random potentials, localizing the mobile
atoms. We investigate the dynamics of the mobile atoms after the Rabi pulse for
non-interacting and weakly interacting bosons, and we show that the evolved
wavefunction attains a quasi-stationary profile with exponentially decaying
tails, characteristic of Anderson localization. The localization length is seen
to increase with increasing disorder and interaction strength, oppositely to
what is expected for equilibrium localization.Comment: 4 pages, 4 figure
Staggered Chiral Perturbation Theory and the Fourth-Root Trick
Staggered chiral perturbation theory (schpt) takes into account the
"fourth-root trick" for reducing unwanted (taste) degrees of freedom with
staggered quarks by multiplying the contribution of each sea quark loop by a
factor of 1/4. In the special case of four staggered fields (four flavors,
nF=4), I show here that certain assumptions about analyticity and phase
structure imply the validity of this procedure for representing the rooting
trick in the chiral sector. I start from the observation that, when the four
flavors are degenerate, the fourth root simply reduces nF=4 to nF=1. One can
then treat nondegenerate quark masses by expanding around the degenerate limit.
With additional assumptions on decoupling, the result can be extended to the
more interesting cases of nF=3, 2, or 1. A apparent paradox associated with the
one-flavor case is resolved. Coupled with some expected features of unrooted
staggered quarks in the continuum limit, in particular the restoration of taste
symmetry, schpt then implies that the fourth-root trick induces no problems
(for example, a violation of unitarity that persists in the continuum limit) in
the lowest energy sector of staggered lattice QCD. It also says that the theory
with staggered valence quarks and rooted staggered sea quarks behaves like a
simple, partially-quenched theory, not like a "mixed" theory in which sea and
valence quarks have different lattice actions. In most cases, the assumptions
made in this paper are not only sufficient but also necessary for the validity
of schpt, so that a variety of possible new routes for testing this validity
are opened.Comment: 39 pages, 3 figures. v3: minor changes: improved explanations and
less tentative discussion in several places; corresponds to published versio
Insights into the genetic determinism of pre-emergence growth using the model legume Medicago truncatula
On the exit statistics theorem of many particle quantum scattering
We review the foundations of the scattering formalism for one particle
potential scattering and discuss the generalization to the simplest case of
many non interacting particles. We point out that the "straight path motion" of
the particles, which is achieved in the scattering regime, is at the heart of
the crossing statistics of surfaces, which should be thought of as detector
surfaces. We sketch a proof of the relevant version of the many particle flux
across surfaces theorem and discuss what needs to be proven for the foundations
of scattering theory in this context.Comment: 15 pages, 4 figures; to appear in the proceedings of the conference
"Multiscale methods in Quantum Mechanics", Accademia dei Lincei, Rome,
December 16-20, 200
Schwinger model on a half-line
We study the Schwinger model on a half-line in this paper. In particular, we
investigate the behavior of the chiral condensate near the edge of the line.
The effect of the chosen boundary condition is emphasized. The extension to the
finite temperature case is straightforward in our approach.Comment: 4 pages, no figure. Final version to be published on Phys. Rev.
Local Unitary Quantum Cellular Automata
In this paper we present a quantization of Cellular Automata. Our formalism
is based on a lattice of qudits, and an update rule consisting of local unitary
operators that commute with their own lattice translations. One purpose of this
model is to act as a theoretical model of quantum computation, similar to the
quantum circuit model. It is also shown to be an appropriate abstraction for
space-homogeneous quantum phenomena, such as quantum lattice gases, spin chains
and others. Some results that show the benefits of basing the model on local
unitary operators are shown: universality, strong connections to the circuit
model, simple implementation on quantum hardware, and a wealth of applications.Comment: To appear in Physical Review
Remote Entanglement between a Single Atom and a Bose-Einstein Condensate
Entanglement between stationary systems at remote locations is a key resource
for quantum networks. We report on the experimental generation of remote
entanglement between a single atom inside an optical cavity and a Bose-Einstein
condensate (BEC). To produce this, a single photon is created in the
atom-cavity system, thereby generating atom-photon entanglement. The photon is
transported to the BEC and converted into a collective excitation in the BEC,
thus establishing matter-matter entanglement. After a variable delay, this
entanglement is converted into photon-photon entanglement. The matter-matter
entanglement lifetime of 100 s exceeds the photon duration by two orders
of magnitude. The total fidelity of all concatenated operations is 95%. This
hybrid system opens up promising perspectives in the field of quantum
information
Predictions with Lattice QCD
In recent years, we used lattice QCD to calculate some quantities that were
unknown or poorly known. They are the dependence of the form factor in
semileptonic decay, the leptonic decay constants of the and
mesons, and the mass of the meson. In this paper, we summarize
these calculations, with emphasis on their (subsequent) confirmation by
measurements in , and collisions.Comment: 5 pages; update of hep-lat/0509169, with experimental confirmation of
form factors from Belle and fDs from BaBar; presented at SciDAC 2006 for the
Fermilab Lattice, MILC, and HPQCD Collaboration
Feshbach Spectroscopy of a Shape Resonance
We present a new spectroscopy technique for studying cold-collision
properties. The technique is based on the association and dissociation of
ultracold molecules using a magnetically tunable Feshbach resonance. The energy
and lifetime of a shape resonance are determined from a measurement of the
dissociation rate. Additional spectroscopic information is obtained from the
observation of a spatial interference pattern between an outgoing s wave and d
wave. The experimental data agree well with the results from a new model, in
which the dissociation process is connected to a scattering gedanken
experiment, which is analyzed using a coupled-channels calculation.Comment: Introduction rewritte
Contribution of riverine nutrients to the silicon biogeochemistry of the global ocean – a model study
Continental shelf seas are known to support a large fraction of the global primary production. Yet, they are mostly ignored or neglected in global biogeochemical models. A number of processes that control the transfer of dissolved nutrients from rivers to the open ocean remain poorly understood. This applies in particular to dissolved silica which drives the growth of diatoms that form a large part of the phytoplankton biomass and are thus an important contributor to export production of carbon. <br><br> Here, the representation of the biogeochemical cycling along continents is improved by coupling a high resolution database of riverine fluxes of nutrients to the global biogeochemical ocean general circulation model HAMOCC5-OM. Focusing on silicon (Si), but including the whole suite of nutrients – carbon (C), nitrogen (N) and phosphorus (P) in various forms – inputs are implemented in the model at coastal coupling points using the COSCAT global database of 156 mega-river-ensemble catchments from Meybeck et al. (2006). The catchments connect to the ocean through coastal segments according to three sets of criteria: natural limits, continental shelf topography, and geophysical dynamics. <br><br> According to the model the largest effects on nutrient concentrations occur in hot spots such as the Amazon plume, the Arctic – with high nutrient inputs in relation to its total volume, and areas that encounter the largest increase in human activity, e.g., Southern Asia
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