1,008 research outputs found
Theory for the optimal control of time-averaged quantities in open quantum systems
We present variational theory for optimal control over a finite time interval
in quantum systems with relaxation. The corresponding Euler-Lagrange equations
determining the optimal control field are derived. In our theory the optimal
control field fulfills a high order differential equation, which we solve
analytically for some limiting cases. We determine quantitatively how
relaxation effects limit the control of the system. The theory is applied to
open two level quantum systems. An approximate analytical solution for the
level occupations in terms of the applied fields is presented. Different other
applications are discussed
On the problem of Plasma Sheet Boundary Layer identification from plasma moments in Earth's magnetotail
The problem of identification of the interface region between the lobe and
the Plasma Sheet (PS) – the Plasma Sheet Boundary Layer (PSBL) – using ion
moments and magnetic field data often arises in works devoted to statistical
studies of various PSBL phenomena. Our experience in the identification of this
region based on the analysis of ion velocity distribution functions
demonstrated that plasma parameters, such as the ion density and bulk
velocity, the plasma beta or the dynamic pressure vary widely depending on
the state of magnetotail activity. For example, while field-aligned beams of
accelerated ions are often observed propagating along the lobeward edge of
the PSBL there are times when no signatures of these beams could be
observed. In the last case, a spacecraft moving from the lobe region to the
PS registers almost isotropic PS-like ion velocity distribution. Such events
may be classified as observations of the outer PS region. In this paper, we
attempt to identify ion parameter ranges or their combinations that result
in a clear distinction between the lobe, the PSBL and the adjacent PS or the
outer PS regions. For this we used 100 crossings of the lobe-PSBL-PS
regions by Cluster spacecraft (s/c) made in different periods of magnetotail
activity. By eye inspection of the ion distribution functions we first
identify and separate the lobe, the PSBL and the adjacent PS or outer PS
regions and then perform a statistical study of plasma and magnetic field
parameters in these regions. We found that the best results in the
identification of the lobe-PSBL boundary are reached when one uses plasma
moments, namely the ion bulk velocity and density calculated not for the
entire energy range, but for the energies higher than 2 keV. In addition, we
demonstrate that in many cases the plasma beta fails to correctly identify
and separate the PSBL and the adjacent PS or the outer PS regions
Oxygen and hydrogen ion abundance in the near-Earth magnetosphere: Statistical results on the response to the geomagnetic and solar wind activity conditions
The composition of ions plays a crucial role for the fundamental plasma
properties in the terrestrial magnetosphere. We investigate the
oxygen-to-hydrogen ratio in the near-Earth magnetosphere from -10 RE<XGSE}< 10
RE. The results are based on seven years of ion flux measurements in the energy
range ~10 keV to ~955 keV from the RAPID and CIS instruments on board the
Cluster satellites. We find that (1) hydrogen ions at ~10 keV show only a
slight correlation with the geomagnetic conditions and interplanetary magnetic
field changes. They are best correlated with the solar wind dynamic pressure
and density, which is an expected effect of the magnetospheric compression; (2)
~10 keV O+ ion intensities are more strongly affected during disturbed phase of
a geomagnetic storm or substorm than >274 keV O+ ion intensities, relative to
the corresponding hydrogen intensities; (3) In contrast to ~10 keV ions, the
>274 keV O+ ions show the strongest acceleration during growth phase and not
during the expansion phase itself. This suggests a connection between the
energy input to the magnetosphere and the effective energization of energetic
ions during growth phase; (4) The ratio between quiet and disturbed times for
the intensities of ion ionospheric outflow is similar to those observed in the
near-Earth magnetosphere at >274 keV. Therefore, the increase of the energetic
ion intensity during disturbed time is more likely due to the intensification
than to the more effective acceleration of the ionospheric source. In
conclusion, the energization process in the near-Earth magnetosphere is mass
dependent and it is more effective for the heavier ions
Spin-dependent effective interactions for halo nuclei
We discuss the spin-dependence of the effective two-body interactions
appropriate for three-body computations. The only reasonable choice seems to be
the fine and hyperfine interactions known for atomic electrons interacting with
the nucleus. One exception is the nucleon-nucleon interaction imposing a
different type of symmetry. We use the two-neutron halo nucleus 11Li as
illustration. We demonstrate that models with the wrong spin-dependence are
basically without predictive power. The Pauli forbidden core and valence states
must be consistently treated.Comment: TeX file, 6 pages, 3 postscript figure
Dipolarization Fronts in the Jovian Magnetotail: Statistical Survey of Ion Intensity Variations Using Juno Observations
Energetic particle acceleration and energization in planetary magnetotails are often associated with dipolarization fronts characterized by a rapid increase of the meridional component of the magnetic field. Despite many studies of dipolarization events in Earth's magnetotail, Jupiter’s magnetotail provides an almost ideal environment to study high-energetic ion acceleration by dipolarization fronts because of its large spatial scales and plasma composition of heavy and light ions. In this study, we focus on the response of different high-energetic ion intensities (H, He, S, and O) to prominent magnetic dipolarization fronts inside the Jovian magnetotail. We investigate if ion energization and acceleration are present in the observations around the identified dipolarization fronts. Therefore, we present a statistical study of 87 dipolarization front signatures, which are identified in the magnetometer data of the Juno spacecraft from July 2016 to July 2021. For the ion intensity analysis, we use the energetic particle observations from the Jupiter Energetic Particle Detector Instrument. Our statistical study reveals that less than half of the identified events are accompanied by an increase of the ion intensities, while most of the other events show no significant change in the ion intensity dynamics. In about 40% of the events located in the dawn sector a significant decrease of the energy spectral index is detected indicating ion acceleration by the dipolarization fronts
A multi-satellite study of accelerated ionospheric ion beams above the polar cap
This paper presents a study of nearly field-aligned outflowing ion beams observed on the Cluster satellites over the polar cap. Data are taken at geocentric radial distances of the order of 5&ndash;9 <i>R<sub>E</sub></i>. The distinction is made between ion beams originating from the polar cusp/cleft and beams accelerated almost along the magnetic field line passing by the spacecraft. Polar cusp beams are characterized by nearly field-aligned proton and oxygen ions with an energy ratio E<sub>O+</sub> / E<sub>H+</sub>, of the order of 3 to 4, due to the ion energy repartition inside the source and to the latitudinal extension of the source. Rapid variations in the outflowing ion energy are linked with pulses/modifications of the convection electric field. Cluster data allow one to show that these perturbations of the convection velocity and the associated ion structures propagate at the convection velocity. <P style="line-height: 20px;"> In contrast, polar cap local ion beams are characterized by field-aligned proton and oxygen ions with similar energies. These beams show the typical inverted V structures usually observed in the auroral zone and are associated with a quasi-static converging electric field indicative of a field-aligned electric field. The field-aligned potential drop fits well the ion energy profile. The simultaneous observation of precipitating electrons and upflowing ions of similar energies at the Cluster orbit indicates that the spacecraft are crossing the mid-altitude part of the acceleration region. In the polar cap, the parallel electric field can thus extend to altitudes higher than 5&nbsp;Earth radii. A detailed analysis of the distribution functions shows that the ions are heated during their parallel acceleration and that energy is exchanged between H<sup>+</sup> and O<sup>+</sup>. Furthermore, intense electrostatic waves are observed simultaneously. These observations could be due to an ion-ion two-stream instability
Molecular Structures in T=1 states of 10B
Multi-center (molecular) structures can play an important role in light
nuclei. The highly deformed rotational band in 10Be with band head at 6.179 MeV
has been observed recently and suggested to have an exotic alpha:2n:alpha
configuration. A search for states with alpha:pn:alpha two-center molecular
configurations in 10B that are analogous to the states with alpha:2n:alpha
structure in 10Be has been performed. The T=1 isobaric analog states in 10B
were studied in the excitation energy range of E=8.7-12.1 MeV using the
reaction 1H(9Be,alpha)6Li*(T=1, 0+, 3.56 MeV). An R-matrix analysis was used to
extract parameters for the states observed in the (p,alpha) excitation
function. Five T=1 states in 10B have been identified. The known 2+ and 3-
states at 8.9 MeV have been observed and their partial widths have been
measured. The spin-parities and partial widths for three higher lying states
were determined. Our data support theoretical predictions that the 2+ state at
8.9 MeV (isobaric analog of the 7.54 MeV state in 10Be) is a highly clustered
state and can be identified as a member of the alpha:np:alpha rotational band.
The next member of this band, the 4+ state, has not been found. A very broad 0+
state at 11 MeV that corresponds to pure alpha+6Li(0+,T=1) configuration is
suggested and it might be related to similar structures found in 12C, 18O and
20Ne.Comment: 10 pages, 10 figures, accepted in Physical Review
Three-body structure of the low-lying Ne-states
The Borromean nucleus Ne (O) is investigated by using
the hyperspheric adiabatic expansion for a a three-body system. The measured
size of O and the low-lying resonances of F (O) are
first used as constraints to determine both central and spin-dependent two-body
interactions. Then, the ground state structure of Ne is found to be an
almost equal mixture of and proton-O relative states, the
two lowest excited states have about 80% of -mixed components, and for the
next two excited three-body states the proton-O relative s-states do not
contribute. The spatial extension is as in ordinary nuclei. The widths of the
resonances are estimated by the WKB transmission through the adiabatic
potentials and found in agreement with the established experimental limits. We
compare with experimental information and previous works.Comment: 29 pages, 7 postscript figures, to be published in Nuclear Physics
Analytical solution of the optimal laser control problem in two-level systems
The optimal control of two-level systems by time-dependent laser fields is
studied using a variational theory. We obtain, for the first time, general
analytical expressions for the optimal pulse shapes leading to global
maximization or minimization of different physical quantities. We present
solutions which reproduce and improve previous numerical results.Comment: 12 pages, 2 figure
Neutron-H potentials and the H-properties
The continuum resonance spectrum of H (H++) is investigated by
use of the complex scaled hyperspherical adiabatic expansion method. The
crucial H-neutron potential is obtained by switching off the Coulomb part
from successful fits to He-proton experimental data. These two-body
potentials must be expressed exclusively by operators conserving the
nucleon-core mean field angular momentum quantum numbers. The energies
and widths of the ground-state resonance and the lowest two
excited and -resonances are found to be MeV,
MeV and MeV, respectively. These results agree with
most of the experimental data. The energy distributions of the fragments after
decay of the resonances are predicted.Comment: 26 pages, 8 tables, 7 figures. Accepted for publication in Nucl.
Phys.
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