25 research outputs found
Faraday waves in binary non-miscible Bose-Einstein condensates
We show by extensive numerical simulations and analytical variational
calculations that elongated binary non-miscible Bose-Einstein condensates
subject to periodic modulations of the radial confinement exhibit a Faraday
instability similar to that seen in one-component condensates. Considering the
hyperfine states of Rb condensates, we show that there are two
experimentally relevant stationary state configurations: the one in which the
components form a dark-bright symbiotic pair (the ground state of the system),
and the one in which the components are segregated (first excited state). For
each of these two configurations, we show numerically that far from resonances
the Faraday waves excited in the two components are of similar periods, emerge
simultaneously, and do not impact the dynamics of the bulk of the condensate.
We derive analytically the period of the Faraday waves using a variational
treatment of the coupled Gross-Pitaevskii equations combined with a
Mathieu-type analysis for the selection mechanism of the excited waves.
Finally, we show that for a modulation frequency close to twice that of the
radial trapping, the emergent surface waves fade out in favor of a forceful
collective mode that turns the two condensate components miscible.Comment: 13 pages, 10 figure
Stability of Intercelular Exchange of Biochemical Substances Affected by Variability of Environmental Parameters
Communication between cells is realized by exchange of biochemical
substances. Due to internal organization of living systems and variability of
external parameters, the exchange is heavily influenced by perturbations of
various parameters at almost all stages of the process. Since communication is
one of essential processes for functioning of living systems it is of interest
to investigate conditions for its stability. Using previously developed
simplified model of bacterial communication in a form of coupled difference
logistic equations we investigate stability of exchange of signaling molecules
under variability of internal and external parameters.Comment: 11 pages, 3 figure
Geometric Resonances in Bose-Einstein Condensates with Two- and Three-Body Interactions
We investigate geometric resonances in Bose-Einstein condensates by solving
the underlying time-dependent Gross-Pitaevskii equation for systems with two-
and three-body interactions in an axially-symmetric harmonic trap. To this end,
we use a recently developed analytical method [Phys. Rev. A 84, 013618 (2011)],
based on both a perturbative expansion and a Poincar\'e-Lindstedt analysis of a
Gaussian variational approach, as well as a detailed numerical study of a set
of ordinary differential equations for variational parameters. By changing the
anisotropy of the confining potential, we numerically observe and analytically
describe strong nonlinear effects: shifts in the frequencies and mode coupling
of collective modes, as well as resonances. Furthermore, we discuss in detail
the stability of a Bose-Einstein condensate in the presence of an attractive
two-body interaction and a repulsive three-body interaction. In particular, we
show that a small repulsive three-body interaction is able to significantly
extend the stability region of the condensate.Comment: 27 pages, 13 figure
Computation of Asteroid Proper Elements on the Grid
A procedure of gridification of the computation of asteroid proper orbital elements is described. The need to speed up the time consuming computations and make them more efficient is justified by the large increase of observational data expected from the next generation all sky surveys. We give the basic notion of proper elements and of the contemporary theories and methods used to compute them for different populations of objects. Proper elements for nearly 70,000 asteroids are derived since the beginning of use of the Grid infrastructure for the purpose. The average time for the catalogs update is significantly shortened with respect to the time needed with stand-alone workstations. We also present basics of the Grid computing, the concepts of Grid middleware and its Workload management system. The practical steps we undertook to efficiently gridify our application are described in full detail. We present the results of a comprehensive testing of the performance of different Grid sites, and offer some practical conclusions based on the benchmark results and on our experience. Finally, we propose some possibilities for the future work
Consequences of increased longevity for wealth, fertility, and population growth
We present, solve and numerically simulate a simple model that describes the
consequences of increased longevity on fertility rates, population growth and
the distribution of wealth in developed societies. We look at the consequences
of the repeated use of life extension techniques and show that they represent a
novel commodity whose introduction will profoundly influence key aspects of
economy and society in general. In particular, we uncover two phases within our
simplified model, labeled as 'mortal' and 'immortal'. Within the life extension
scenario it is possible to have sustainable economic growth in a population of
stable size, as a result of dynamical equilibrium between the two phases.Comment: 13 pages, 5 figures, uses elsart.cl
Dyons in Nonabelian Born-Infeld Theory
We analyze a nonabelian extension of Born--Infeld action for the SU(2) group.
In the class of spherically symmetric solutions we find that, besides the
Gal'tsov--Kerner glueballs, only the analytic dyons have finite energy. The
presented analytic and numerical investigation excludes the existence of pure
magnetic monopoles of 't Hooft--Polyakov type.Comment: 12 pages, 3 figure
Fast Convergence of Path Integrals for Many-body Systems
We generalize a recently developed method for accelerated Monte Carlo
calculation of path integrals to the physically relevant case of generic
many-body systems. This is done by developing an analytic procedure for
constructing a hierarchy of effective actions leading to improvements in
convergence of -fold discretized many-body path integral expressions from
1/N to for generic . In this paper we present explicit solutions
within this hierarchy up to level . Using this we calculate the low lying
energy levels of a two particle model with quartic interactions for several
values of coupling and demonstrate agreement with analytical results governing
the increase in efficiency of the new method. The applicability of the
developed scheme is further extended to the calculation of energy expectation
values through the construction of associated energy estimators exhibiting the
same speedup in convergence.Comment: 20 pages, 6 figures, 1 tabl
Cold atoms in space: community workshop summary and proposed road-map
We summarise the discussions at a virtual Community Workshop on Cold Atoms in Space concerning the status of cold atom technologies, the prospective scientific and societal opportunities offered by their deployment in space, and the developments needed before cold atoms could be operated in space. The cold atom technologies discussed include atomic clocks, quantum gravimeters and accelerometers, and atom interferometers. Prospective applications include metrology, geodesy and measurement of terrestrial mass change due to, e.g., climate change, and fundamental science experiments such as tests of the equivalence principle, searches for dark matter, measurements of gravitational waves and tests of quantum mechanics. We review the current status of cold atom technologies and outline the requirements for their space qualification, including the development paths and the corresponding technical milestones, and identifying possible pathfinder missions to pave the way for missions to exploit the full potential of cold atoms in space. Finally, we present a first draft of a possible road-map for achieving these goals, that we propose for discussion by the interested cold atom, Earth Observation, fundamental physics and other prospective scientific user communities, together with the European Space Agency (ESA) and national space and research funding agencies
AEDGE: Atomic Experiment for Dark Matter and Gravity Exploration in Space
We propose in this White Paper a concept for a space experiment using cold
atoms to search for ultra-light dark matter, and to detect gravitational waves
in the frequency range between the most sensitive ranges of LISA and the
terrestrial LIGO/Virgo/KAGRA/INDIGO experiments. This interdisciplinary
experiment, called Atomic Experiment for Dark Matter and Gravity Exploration
(AEDGE), will also complement other planned searches for dark matter, and
exploit synergies with other gravitational wave detectors. We give examples of
the extended range of sensitivity to ultra-light dark matter offered by AEDGE,
and how its gravitational-wave measurements could explore the assembly of
super-massive black holes, first-order phase transitions in the early universe
and cosmic strings. AEDGE will be based upon technologies now being developed
for terrestrial experiments using cold atoms, and will benefit from the space
experience obtained with, e.g., LISA and cold atom experiments in microgravity.
This paper is based on a submission (v1) in response to the Call for White
Papers for the Voyage 2050 long-term plan in the ESA Science Programme. ESA
limited the number of White Paper authors to 30. However, in this version (v2)
we have welcomed as supporting authors participants in the Workshop on Atomic
Experiments for Dark Matter and Gravity Exploration held at CERN: ({\tt
https://indico.cern.ch/event/830432/}), as well as other interested scientists,
and have incorporated additional material