4,690 research outputs found
General decay of the solution for a viscoelastic wave equation with a time-varying delay term in the internal feedback
In this paper we consider a viscoelastic wave equation with a time-varying
delay term, the coefficient of which is not necessarily positive. By
introducing suitable energy and Lyapunov functionals, under suitable
assumptions, we establish a general energy decay result from which the
exponential and polynomial types of decay are only special cases.Comment: 11 page
Solitons in tunnel-coupled repulsive and attractive condensates
We study solitons in the condensate trapped in a double-well potential with
far-separated wells, when the s-wave scattering length has different signs in
the two parts of the condensate. By employing the coupled-mode approximation it
is shown that there are unusual stable bright solitons in the condensate, with
the larger share of atoms being gathered in the repulsive part. Such unusual
solitons derive their stability from the quantum tunneling and correspond to
the strong coupling between the parts of the condensate. The ground state of
the system, however, corresponds to weak coupling between the condensate parts,
with the larger share of atoms being gathered in the attractive part of the
condensate.Comment: LaTex, 23 pages, 6 figures; revised version; to appear in Physical
Review
Vandermonde-subspace Frequency Division Multiplexing for Two-Tiered Cognitive Radio Networks
Vandermonde-subspace frequency division multiplexing (VFDM) is an overlay
spectrum sharing technique for cognitive radio. VFDM makes use of a precoder
based on a Vandermonde structure to transmit information over a secondary
system, while keeping an orthogonal frequency division multiplexing
(OFDM)-based primary system interference-free. To do so, VFDM exploits
frequency selectivity and the use of cyclic prefixes by the primary system.
Herein, a global view of VFDM is presented, including also practical aspects
such as linear receivers and the impact of channel estimation. We show that
VFDM provides a spectral efficiency increase of up to 1 bps/Hz over cognitive
radio systems based on unused band detection. We also present some key design
parameters for its future implementation and a feasible channel estimation
protocol. Finally we show that, even when some of the theoretical assumptions
are relaxed, VFDM provides non-negligible rates while protecting the primary
system.Comment: 9 pages, accepted for publication in IEEE Transactions on
Communication
Uniform semiclassical approximation in quantum statistical mechanics
We present a simple method to deal with caustics in the semiclassical
approximation to the partition function of a one-dimensional quantum system.
The procedure, which makes use of complex trajectories, is applied to the
quartic double-well potential.Comment: 5 pages, 1 figure, Latex. Contribution to the Proceedings of the XXI
Brazilian National Meeting on Particles and Fields (Sao Lourenco, October
23-27, 2000
Multipartite entanglement percolation
We present percolation strategies based on multipartite measurements to
propagate entanglement in quantum networks. We consider networks spanned on
regular lattices whose bonds correspond to pure but non-maximally entangled
pairs of qubits, with any quantum operation allowed at the nodes. Despite
significant effort in the past, improvements over naive (classical) percolation
strategies have been found for only few lattices, often with restrictions on
the initial amount of entanglement in the bonds. In contrast, multipartite
entanglement percolation outperform the classical percolation protocols, as
well as all previously known quantum ones, over the entire range of initial
entanglement and for every lattice that we considered.Comment: revtex4, 4 page
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