69 research outputs found
Completely-Positive Non-Markovian Decoherence
We propose an effective Hamiltonian approach to investigate decoherence of a
quantum system in a non-Markovian reservoir, naturally imposing the complete
positivity on the reduced dynamics of the system. The formalism is based on the
notion of an effective reservoir, i.e., certain collective degrees of freedom
in the reservoir that are responsible for the decoherence. As examples for
completely positive decoherence, we present three typical decoherence processes
for a qubit such as dephasing, depolarizing, and amplitude-damping. The effects
of the non-Markovian decoherence are compared to the Markovian decoherence.Comment: 8 pages, 1 figur
Boundary integral equation method for resonances in gradient index cavities designed by conformal transformation optics
In the case of two-dimensional gradient index cavities designed by the
conformal transformation optics, we propose a boundary integral equation method
for the calculation of resonant mode functions by employing a fictitious space
which is reciprocally equivalent to the physical space. Using the Green's
function of the interior region of the uniform index cavity in the fictitious
space, resonant mode functions and their far-field distributions in the
physical space can be obtained. As a verification, resonant modes in
lima\c{c}on-shaped transformation cavities were calculated and mode patterns
and far-field intensity distributions were compared with those of the same
modes obtained from the finite element method.Comment: 13 pages, 6 figure
Current reversal with type-I intermittency in deterministic inertia ratchets
The intermittency is investigated when the current reversal occurs in a
deterministic inertia ratchet system. To determine which type the intermittency
belongs to, we obtain the return map of velocities of particle using
stroboscopic recording, and numerically calculate the distribution of average
laminar length . The distribution follows the scaling law of , the characteristic relation of type-I
intermittency.Comment: 4 pages, 7 figure
Pointlike structure for super p-branes
We present an efficient method to understand the p-brane dynamics in a
unified framework. For this purpose, we reformulate the action for super
p-branes in the form appropriate to incorporate the pointlike (parton)
structure of higher dimensional p-branes and intend to interpret the p-brane
dynamics as the collective dynamics of superparticles. In order to examine such
a parton picture of super p-branes, we consider various superparticle
configurations that can be reduced from super p-branes, especially, a
supermembrane, and study the partonic structure of classical p-brane solutions.Comment: 22 pages, corrected typos, to appear in Phys. Rev. D58, 085018 (1998
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