702 research outputs found
Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling
We consider a Bose-Hubbard trimer, i.e. an ultracold Bose gas populating
three quantum states. The latter can be either different sites of a triple-well
potential or three internal states of the atoms. The bosons can tunnel between
different states with variable tunnelling strength between two of them. This
will allow us to study; i) different geometrical configurations, i.e. from a
closed triangle to three aligned wells and ii) a triangular configuration with
a -phase, i.e. by setting one of the tunnellings negative. By solving the
corresponding three-site Bose-Hubbard Hamiltonian we obtain the ground state of
the system as a function of the trap topology. We characterise the different
ground states by means of the coherence and entanglement properties. For small
repulsive interactions, fragmented condensates are found for the -phase
case. These are found to be robust against small variations of the tunnelling
in the small interaction regime. A low-energy effective many-body Hamiltonian
restricted to the degenerate manifold provides a compelling description of the
-phase degeneration and explains the low-energy spectrum as excitations of
discrete semifluxon states
Dipolar condensates confined in a toroidal trap: ground state and vortices
We study a Bose-Einstein condensate of 52Cr atoms confined in a toroidal trap
with a variable strength of s-wave contact interactions. We analyze the effects
of the anisotropic nature of the dipolar interaction by considering the
magnetization axis to be perpendicular to the trap symmetry axis. In the
absence of a central repulsive barrier, when the trap is purely harmonic, the
effect of reducing the scattering length is a tuning of the geometry of the
system: from a pancake-shaped condensate when it is large, to a cigar-shaped
condensate for small scattering lengths. For a condensate in a toroidal trap,
the interaction in combination with the central repulsive Gaussian barrier
produces an azimuthal dependence of the particle density for a fixed radial
distance. We find that along the magnetization direction the density decreases
as the scattering length is reduced but presents two symmetric density peaks in
the perpendicular axis. For even lower values of the scattering length we
observe that the system undergoes a dipolar-induced symmetry breaking
phenomenon. The whole density becomes concentrated in one of the peaks,
resembling an origin-displaced cigar-shaped condensate. In this context we also
analyze stationary vortex states and their associated velocity field, finding
that this latter also shows a strong azimuthal dependence for small scattering
lengths. The expectation value of the angular momentum along the z direction
provides a qualitative measure of the difference between the velocity in the
different density peaks.Comment: 9 pages, 12 figure
Reputation based selfishness prevention techniques for mobile ad-hoc networks
Mobile ad-hoc networks require nodes to cooperate in the relaying of data from source to destination. However, due to their limited resources, selfish nodes may be unwilling to forward packets, which can deteriorate the multi-hop connectivity. Different reputation-based protocols have been proposed to cope with selfishness in mobile ad-hoc networks. These protocols utilize the watchdog detection mechanism to observe the correct relaying of packets, and to compile information about potential selfish nodes. This information is used to prevent the participation of selfish nodes in the establishment of multi-hop routes. Despite its wide use, watchdog tends to overestimate the selfish behavior of nodes due to the effects of radio transmission errors or packet collisions that can be mistaken for intentional packet drops. As a result, the availability of valid multi-hop routes is reduced, and the overall performance deteriorates. This paper proposes and evaluates three detection techniques that improve the ability of selfishness prevention protocols to detect selfish nodes and to increase the number of valid routes.IngenierÃa, Industria y Construcció
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