1,939 research outputs found
From the Kubo formula to variable range hopping
Consider a multichannel closed ring with disorder. In the semiclassical
treatment its conductance is given by the Drude formula. Quantum mechanics
challenge this result both in the limit of strong disorder (eigenstates are not
quantum-ergodic in real space) and in the limit of weak disorder (eigenstates
are not quantum-ergodic in momentum space). Consequently the analysis of
conductance requires going beyond linear response theory, leading to a resistor
network picture of transitions between energy levels. We demonstrate that our
semi-linear response theory provides a firm unified framework from which the
"hopping" phenomenology of Mott can be derived.Comment: 5 pages, published version with an extended concluding paragrap
Neutrino neutral reaction on 4He, effects of final state interaction and realistic NN force
The inelastic neutral reaction of neutrino on 4He is calculated
microscopically, including full final state interaction among the four
nucleons. The calculation is performed using the Lorentz integral transform
(LIT) method and the hyperspherical-harmonic effective interaction approach
(EIHH), with a realistic nucleon-nucleon interaction. A detailed energy
dependent calculation is given in the impulse approximation. With respect to
previous calculations, this work predicts an increased reaction cross-section
by 10%-30% for neutrino temperature up to 15 MeV.Comment: 4 pages, 2 fig
Monte--Carlo Thermodynamic Bethe Ansatz
We introduce a Monte--Carlo simulation approach to thermodynamic Bethe ansatz
(TBA). We exemplify the method on one particle integrable models, which include
a free boson and a free fermions systems along with the scaling Lee--Yang model
(SLYM). It is confirmed that the central charges and energies are correct to a
very good precision, typically 0.1% or so. The advantage of the method is that
it enables the calculation of all the dimensions and even the particular
partition function.Comment: 22 pages. Added a footnote and realizations for the minimal models.
Fortran program, mont-s.f90, available from the source lin
Quantum pumping: The charge transported due to a translation of a scatterer
The amount of charge which is pushed by a moving scatterer is ,
where is the displacement of the scatterer. The question is what is .
Does it depend on the transmission of the scatterer? Does the answer
depend on whether the system is open (with leads attached to reservoirs) or
closed? In the latter case: what are the implications of having ``quantum
chaos" and/or coupling to to the environment? The answers to these questions
illuminate some fundamental aspects of the theory of quantum pumping. For the
analysis we take a network (graph) as a model system, and use the Kubo formula
approach.Comment: 4 pages, 2 figures, minor changes, to be published in PRE (Rapid
Semiclassical Description of Tunneling in Mixed Systems: The Case of the Annular Billiard
We study quantum-mechanical tunneling between symmetry-related pairs of
regular phase space regions that are separated by a chaotic layer. We consider
the annular billiard, and use scattering theory to relate the splitting of
quasi-degenerate states quantized on the two regular regions to specific paths
connecting them. The tunneling amplitudes involved are given a semiclassical
interpretation by extending the billiard boundaries to complex space and
generalizing specular reflection to complex rays. We give analytical
expressions for the splittings, and show that the dominant contributions come
from {\em chaos-assisted}\/ paths that tunnel into and out of the chaotic
layer.Comment: 4 pages, uuencoded postscript file, replaces a corrupted versio
Quantum Stirring in low dimensional devices
A circulating current can be induced in the Fermi sea by displacing a
scatterer, or more generally by integrating a quantum pump into a closed
circuit. The induced current may have either the same or the opposite sense
with respect to the "pushing" direction of the pump. We work out explicit
expressions for the associated geometric conductance using the Kubo-Dirac
monopoles picture, and illuminate the connection with the theory of adiabatic
passage in multiple path geometry.Comment: 6 pages, 5 figures, improved versio
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