36,565 research outputs found
Complete quantum control of the population transfer branching ratio between two degenerate target states
A five-level four-pulse phase-sensitive extended stimulated Raman adiabatic
passage scheme is proposed to realize complete control of the population
transfer branching ratio between two degenerate target states. The control is
achieved via a three-node null eigenstate that can be correlated with an
arbitrary superposition of the target states. Our results suggest that complete
suppression of the yield of one of two degenerate product states, and therefore
absolute selectivity in photochemistry, is achievable and predictable, even
without studying the properties of the unwanted product state beforehand.Comment: 9 pages, 5 figures, to appear in J. Chem. Phy
Optimal Bandwidth and Power Allocation for Sum Ergodic Capacity under Fading Channels in Cognitive Radio Networks
This paper studies optimal bandwidth and power allocation in a cognitive
radio network where multiple secondary users (SUs) share the licensed spectrum
of a primary user (PU) under fading channels using the frequency division
multiple access scheme. The sum ergodic capacity of all the SUs is taken as the
performance metric of the network. Besides all combinations of the peak/average
transmit power constraints at the SUs and the peak/average interference power
constraint imposed by the PU, total bandwidth constraint of the licensed
spectrum is also taken into account. Optimal bandwidth allocation is derived in
closed-form for any given power allocation. The structures of optimal power
allocations are also derived under all possible combinations of the
aforementioned power constraints. These structures indicate the possible
numbers of users that transmit at nonzero power but below their corresponding
peak powers, and show that other users do not transmit or transmit at their
corresponding peak power. Based on these structures, efficient algorithms are
developed for finding the optimal power allocations.Comment: 28 pages, 6 figures, submitted to the IEEE Trans. Signal Processing
in June 201
Quantum anti-quenching of radiation from laser-driven structured plasma channels
We demonstrate that in the interaction of a high-power laser pulse with a
structured solid-density plasma-channel, clear quantum signatures of stochastic
radiation emission manifest, disclosing a novel avenue to studying the
quantized nature of photon emission. In contrast to earlier findings we observe
that the total radiated energy for very short interaction times, achieved by
studying thin plasma channel targets, is significantly larger in a quantum
radiation model as compared to a calculation including classical radiation
reaction, i.e., we observe quantum anti-quenching. By means of a detailed
analytical analysis and a refined test particle model, corroborated by a full
kinetic plasma simulation, we demonstrate that this counter-intuitive behavior
is due to the constant supply of energy to the setup through the driving laser.
We comment on an experimental realization of the proposed setup, feasible at
upcoming high-intensity laser facilities, since the required thin targets can
be manufactured and the driving laser pulses provided with existing technology.Comment: 6 pages, 3 figure
Joint Bandwidth and Power Allocation with Admission Control in Wireless Multi-User Networks With and Without Relaying
Equal allocation of bandwidth and/or power may not be efficient for wireless
multi-user networks with limited bandwidth and power resources. Joint bandwidth
and power allocation strategies for wireless multi-user networks with and
without relaying are proposed in this paper for (i) the maximization of the sum
capacity of all users; (ii) the maximization of the worst user capacity; and
(iii) the minimization of the total power consumption of all users. It is shown
that the proposed allocation problems are convex and, therefore, can be solved
efficiently. Moreover, the admission control based joint bandwidth and power
allocation is considered. A suboptimal greedy search algorithm is developed to
solve the admission control problem efficiently. The conditions under which the
greedy search is optimal are derived and shown to be mild. The performance
improvements offered by the proposed joint bandwidth and power allocation are
demonstrated by simulations. The advantages of the suboptimal greedy search
algorithm for admission control are also shown.Comment: 30 pages, 5 figures, submitted to IEEE Trans. Signal Processing in
June 201
Breaking scale invariance from a singular inflaton potential
In this paper we break the scale invariance of the primordial power spectrum
of curvature perturbations of inflation. Introducing a singular behaviour due
to spontaneous symmetry breaking in the inflaton potential, we obtain fully
analytic expressions of scale dependent oscillation and a modulation in power
on small scale in the primordial spectrum. And we give the associated cosmic
microwave background and matter power spectra which we can observe now and
discuss the signature of the scale dependence. We also address the possibility
of whether some inflationary model with featured potential might mimic the
predictions of the scale invariant power spectrum. We present some examples
which illustrate such degeneracies.Comment: 20 pages, 9 figures; Discussion expanded and references added;
Miscellaneous typos correcte
Lyapunov Spectra in SU(2) Lattice Gauge Theory
We develop a method for calculating the Lyapunov characteristic exponents of
lattice gauge theories. The complete Lyapunov spectrum of SU(2) gauge theory is
obtained and Kolmogorov-Sinai entropy is calculated. Rapid convergence with
lattice size is found.Comment: 7pp, DUKE-TH-93-5
End of multi-field inflation and the perturbation spectrum
We investigate the dynamics of inflation models driven by multiple, decoupled
scalar fields and calculate the Hubble parameter and the amplitude of the
lightest field at the end of inflation which may be responsible for
interesting, or possibly dangerous cosmological consequences after inflation.
The results are very simple and similar to those of the single field inflation,
mainly depend on the underlying spectrum of the masses. The mass distribution
is heavily constrained by the power spectrum of density perturbations P and the
spectral index n. The overall mass scale gives the amplitude of P, and n is
affected by the number of fields and the spacing between masses in the
distribution. The drop-out effect of the massive fields makes the perturbation
spectrum typically redder than the single field inflation spectrum. We
illustrate this using two different mass distributions.Comment: (v1) 16 pages, 5 figures, 3 tables; (v2) 17 pages, references added,
typos corrected; (v3) references added, typos corrected; (v4) 16 pages, typos
corrected, Table 1 expanded and Table 3 removed, Figs. 2 and 3 reduced, to
appear in Physical Review
Convergence of Adaptive Finite Element Approximations for Nonlinear Eigenvalue Problems
In this paper, we study an adaptive finite element method for a class of a
nonlinear eigenvalue problems that may be of nonconvex energy functional and
consider its applications to quantum chemistry. We prove the convergence of
adaptive finite element approximations and present several numerical examples
of micro-structure of matter calculations that support our theory.Comment: 24 pages, 12 figure
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