6,223 research outputs found
Analytical probabilistic approach to the ground state of lattice quantum systems: exact results in terms of a cumulant expansion
We present a large deviation analysis of a recently proposed probabilistic
approach to the study of the ground-state properties of lattice quantum
systems. The ground-state energy, as well as the correlation functions in the
ground state, are exactly determined as a series expansion in the cumulants of
the multiplicities of the potential and hopping energies assumed by the system
during its long-time evolution. Once these cumulants are known, even at a
finite order, our approach provides the ground state analytically as a function
of the Hamiltonian parameters. A scenario of possible applications of this
analyticity property is discussed.Comment: 26 pages, 5 figure
Exact ground state for a class of matrix Hamiltonian models: quantum phase transition and universality in the thermodynamic limit
By using a recently proposed probabilistic approach, we determine the exact
ground state of a class of matrix Hamiltonian models characterized by the fact
that in the thermodynamic limit the multiplicities of the potential values
assumed by the system during its evolution are distributed according to a
multinomial probability density. The class includes i) the uniformly fully
connected models, namely a collection of states all connected with equal
hopping coefficients and in the presence of a potential operator with arbitrary
levels and degeneracies, and ii) the random potential systems, in which the
hopping operator is generic and arbitrary potential levels are assigned
randomly to the states with arbitrary probabilities. For this class of models
we find a universal thermodynamic limit characterized only by the levels of the
potential, rescaled by the ground-state energy of the system for zero
potential, and by the corresponding degeneracies (probabilities). If the
degeneracy (probability) of the lowest potential level tends to zero, the
ground state of the system undergoes a quantum phase transition between a
normal phase and a frozen phase with zero hopping energy. In the frozen phase
the ground state condensates into the subspace spanned by the states of the
system associated with the lowest potential level.Comment: 31 pages, 13 figure
Shell Model of Two-dimensional Turbulence in Polymer Solutions
We address the effect of polymer additives on two dimensional turbulence, an
issue that was studied recently in experiments and direct numerical
simulations. We show that the same simple shell model that reproduced drag
reduction in three-dimensional turbulence reproduces all the reported effects
in the two-dimensional case. The simplicity of the model offers a
straightforward understanding of the all the major effects under consideration
Experimental test of the no signaling theorem
In 1981 N. Herbert proposed a gedanken experiment in order to achieve by the
''First Laser Amplified Superluminal Hookup'' (FLASH) a faster than light
communication (FTL) by quantum nonlocality. The present work reports the first
experimental realization of that proposal by the optical parametric
amplification of a single photon belonging to an entangled EPR pair into an
output field involving 5 x 10^3 photons. A thorough theoretical and
experimental analysis explains in general and conclusive terms the precise
reasons for the failure of the FLASH program as well as of any similar FTL
proposals.Comment: 4 pages, 4 figure
Quantum Information and Wave function Collapse
Inofrmation-theoretical restrictions on information transferred in the
measurement of object S by information system O are studied. It is shown that
such constraints, induced by Heisenberg commutation relations, result in the
loss of information about the purity of S state. Consequently, it becomes
impossible for O to discriminate pure and mixed S states. In individual events
this effect is manifested by the stochastic outcomes of pure S state
measurement, i.e. the collapse of pure S state.Comment: 8 pages, talk given on Simposium 'Frontiers of fundamental Physics',
Udine, Italy, January 2008, to appear in Proceeding
Resonant, broadband and highly efficient optical frequency conversion in semiconductor nanowire gratings at visible and UV wavelengths
Using a hydrodynamic approach we examine bulk- and surface-induced second and
third harmonic generation from semiconductor nanowire gratings having a
resonant nonlinearity in the absorption region. We demonstrate resonant,
broadband and highly efficient optical frequency conversion: contrary to
conventional wisdom, we show that harmonic generation can take full advantage
of resonant nonlinearities in a spectral range where nonlinear optical
coefficients are boosted well beyond what is achievable in the transparent,
long-wavelength, non-resonant regime. Using femtosecond pulses with
approximately 500 MW/cm2 peak power density, we predict third harmonic
conversion efficiencies of approximately 1% in a silicon nanowire array, at
nearly any desired UV or visible wavelength, including the range of negative
dielectric constant. We also predict surface second harmonic conversion
efficiencies of order 0.01%, depending on the electronic effective mass,
bistable behavior of the signals as a result of a reshaped resonance, and the
onset fifth order nonlinear effects. These remarkable findings, arising from
the combined effects of nonlinear resonance dispersion, field localization, and
phase-locking, could significantly extend the operational spectral bandwidth of
silicon photonics, and strongly suggest that neither linear absorption nor skin
depth should be motivating factors to exclude either semiconductors or metals
from the list of useful or practical nonlinear materials in any spectral range.Comment: 12 pages, 4 figure
Exact Monte Carlo time dynamics in many-body lattice quantum systems
On the base of a Feynman-Kac--type formula involving Poisson stochastic
processes, recently a Monte Carlo algorithm has been introduced, which
describes exactly the real- or imaginary-time evolution of many-body lattice
quantum systems. We extend this algorithm to the exact simulation of
time-dependent correlation functions. The techniques generally employed in
Monte Carlo simulations to control fluctuations, namely reconfigurations and
importance sampling, are adapted to the present algorithm and their validity is
rigorously proved. We complete the analysis by several examples for the
hard-core boson Hubbard model and for the Heisenberg model
Screening and attraction of dust particles in plasmas.
The potential around a dust particle in a plasma is found using the collisional hydrodynamic equations of dusty plasmas, taking into account ion-dust and ion-neutral collisions and considering the plasma source proportional to the dust density. The linear screening is strongly influenced by the collisions and can substantially differ from Debye screening. Attraction of negatively charged dust particles can occur due to overscreening by the ion fluxes in the presence of friction forces
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