611 research outputs found
A direct D-bar reconstruction algorithm for recovering a complex conductivity in 2-D
A direct reconstruction algorithm for complex conductivities in
, where is a bounded, simply connected Lipschitz
domain in , is presented. The framework is based on the
uniqueness proof by Francini [Inverse Problems 20 2000], but equations relating
the Dirichlet-to-Neumann to the scattering transform and the exponentially
growing solutions are not present in that work, and are derived here. The
algorithm constitutes the first D-bar method for the reconstruction of
conductivities and permittivities in two dimensions. Reconstructions of
numerically simulated chest phantoms with discontinuities at the organ
boundaries are included.Comment: This is an author-created, un-copyedited version of an article
accepted for publication in [insert name of journal]. IOP Publishing Ltd is
not responsible for any errors or omissions in this version of the manuscript
or any version derived from it. The Version of Record is available online at
10.1088/0266-5611/28/9/09500
Exploration of Non-Resonant Divertor Features on the Compact Toroidal Hybrid
Non-resonant divertors (NRDs) separate the confined plasma from the
surrounding plasma facing components (PFCs). The resulting striking field line
intersection pattern on these PFCs is insensitive to plasma equilibrium
effects. However, a complex scrape-off layer (SOL), created by chaotic magnetic
topology in the plasma edge, connects the core plasma to the PFCs through
varying magnetic flux tubes. The Compact Toroidal Hybrid (CTH) serves as a
test-bed to study this by scanning across its inductive current. Simulations
observe a significant change of the chaotic edge structure and an effective
distance between the confined plasma and the instrumented wall targets. The
intersection pattern is observed to be a narrow helical band, which we claim is
a resilient strike line pattern. However, signatures of finger-like structures,
defined as heteroclinic tangles in chaotic domains, within the plasma edge
connect the island chains to this resilient pattern. The dominant connection
length field lines intersecting the targets are observed via heat flux
modelling with EMC3-EIRENE. At low inductive current levels, the excursion of
the field lines resembles a limited plasma wall scenario. At high currents, a
private flux region is created in the area where the helical strike line
pattern splits into two bands. These bands are divertor legs with distinct SOL
parallel particle flow channels. The results demonstrate the NRD strike line
pattern resiliency within CTH, but also show the underlying chaotic edge
structure determining if the configuration is diverted or limited. This work
supports future design efforts for a mechanical structure for the NRD.Comment: 26 pages, 16 figure
Zeno and anti-Zeno effects for photon polarization dephasing
We discuss a simple, experimentally feasible scheme, which elucidates the
principles of controlling ("engineering") the reservoir spectrum and the
spectral broadening incurred by repeated measurements. This control can yield
either the inhibition (Zeno effect) or the acceleration (anti-Zeno effect) of
the quasi-exponential decay of the observed state by means of frequent
measurements. In the discussed scheme, a photon is bouncing back and forth
between two perfect mirrors, each time passing a polarization rotator. The
horizontal and vertical polarizations can be viewed as analogs of an excited
and a ground state of a two level system (TLS). A polarization beam splitter
and an absorber for the vertically polarized photon are inserted between the
mirrors, and effect measurements of the polarization. The polarization angle
acquired in the electrooptic polarization rotator can fluctuate randomly, e.g.,
via noisy modulation. In the absence of an absorber the polarization
randomization corresponds to TLS decay into an infinite-temperature reservoir.
The non-Markovian nature of the decay stems from the many round-trips required
for the randomization. We consider the influence of the polarization
measurements by the absorber on this non-Markovian decay, and develop a theory
of the Zeno and anti-Zeno effects in this system.Comment: 11 pages, 4 figure
Effect of the measurement on the decay rate of a quantum system
We investigated the electron tunneling out of a quantum dot in the presence
of a continuous monitoring by a detector. It is shown that the Schr\"odinger
equation for the whole system can be reduced to new Bloch-type rate equations
describing the time-development of the detector and the measured system at
once. Using these equations we find that the continuous measurement of the
unstable system does not affect its exponential decay, ,
contrary to expectations based on the Quantum Zeno effect . However, the width
of the energy distribution of the tunneling electron is no more , but
increases due to the decoherence, generated by the detector.Comment: Additional explanations are added. Accepted for publications in Phys.
Rev. Let
Influence of measurement on the life-time and the line-width of unstable systems
We investigate the quantum Zeno effect in the case of electron tunneling out
of a quantum dot in the presence of continuous monitoring by a detector. It is
shown that the Schr\"odinger equation for the whole system can be reduced to
Bloch-type rate equations describing the combined time-development of the
detector and the measured system. Using these equations we find that continuous
measurement of the unstable system does not affect its exponential decay to a
reservoir with a constant density of states. The width of the energy
distribution of the tunneling electron, however, is not equal to the inverse
life-time -- it increases due to the decoherence generated by the detector. We
extend the analysis to the case of a reservoir described by an energy dependent
density of states, and we show that continuous measurement of such quantum
systems affects both the exponential decay rate and the energy distribution.
The decay does not always slow down, but might be accelerated. The energy
distribution of the tunneling electron may reveal the lines invisible before
the measurement.Comment: 13 pages, 8 figures, comments and references added; to appear in
Phys. Rev.
Delocalization in the Anderson model due to a local measurement
We study a one-dimensional Anderson model in which one site interacts with a
detector monitoring the occupation of that site. We demonstrate that such an
interaction, no matter how weak, leads to total delocalization of the Anderson
model, and we discuss the experimental consequencesComment: 4 pages, additional explanations added, to appear in Phys. Rev. Let
Stochastic simulations of the quantum Zeno effect
Published versio
Quantum Anti-Zeno Effect
We demonstrate that near threshold decay processes may be accelerated by
repeated measurements. Examples include near threshold photodetachment of an
electron from a negative ion, and spontaneous emission in a cavity close to the
cutoff frequency, or in a photon band gap material.Comment: 4 pages, 3 figure
Demonstration of quantum Zeno effect in a superconducting phase qubit
Quantum Zeno effect is a significant tool in quantum manipulating and
computing. We propose its observation in superconducting phase qubit with two
experimentally feasible measurement schemes. The conventional measurement
method is used to achieve the proposed pulse and continuous readout of the
qubit state, which are analyzed by projection assumption and Monte Carlo
wave-function simulation, respectively. Our scheme gives a direct
implementation of quantum Zeno effect in a superconducting phase qubit.Comment: 5 pages, 4 figure
- …