3,083 research outputs found
Quantum state diffusion with a moving basis: computing quantum-optical spectra
Quantum state diffusion (QSD) as a tool to solve quantum-optical master
equations by stochastic simulation can be made several orders of magnitude more
efficient if states in Hilbert space are represented in a moving basis of
excited coherent states. The large savings in computer memory and time are due
to the localization property of the QSD equation. We show how the method can be
used to compute spectra and give an application to second harmonic generation.Comment: 8 pages in RevTeX, 1 uuencoded postscript figure, submitted to Phys.
Rev.
Quantum state diffusion, localization and computation
Numerical simulation of individual open quantum systems has proven advantages
over density operator computations. Quantum state diffusion with a moving basis
(MQSD) provides a practical numerical simulation method which takes full
advantage of the localization of quantum states into wave packets occupying
small regions of classical phase space. Following and extending the original
proposal of Percival, Alber and Steimle, we show that MQSD can provide a
further gain over ordinary QSD and other quantum trajectory methods of many
orders of magnitude in computational space and time. Because of these gains, it
is even possible to calculate an open quantum system trajectory when the
corresponding isolated system is intractable. MQSD is particularly advantageous
where classical or semiclassical dynamics provides an adequate qualitative
picture but is numerically inaccurate because of significant quantum effects.
The principles are illustrated by computations for the quantum Duffing
oscillator and for second harmonic generation in quantum optics. Potential
applications in atomic and molecular dynamics, quantum circuits and quantum
computation are suggested.Comment: 16 pages in LaTeX, 2 uuencoded postscript figures, submitted to J.
Phys.
Categorized bibliography for a conceptual model of salt marsh management on Merritt Island, Florida
Enclosed is a bibliography of 556 published articles,
technical reports, theses, dissertations, and books that form the
basis for a conceptual model of salt marsh management on Merritt
Island, Florida (Section 1). A copy of each item is available on
file at the Florida Cooperative Fish and Wildlife Research Unit,
Gainesville. Some relevant proprietary items and unpublished
drafts have not been included pending permission of the authors.
We will continue to add pertinent references to our bibliography
and files. Currently, some topics are represented by very few
items. As our synthesis develops, we will be able to indicate a
subset of papers most pertinent to an understanding of the
ecology and management of Merritt Island salt marshes.
(98 page document
A mapping approach to synchronization in the "Zajfman trap". II: the observed bunch
We extend a recently introduced mapping model, which explains the bunching
phenomenon in an ion beam resonator for two ions [Geyer, Tannor, J. Phys. B 37
(2004) 73], to describe the dynamics of the whole ion bunch. We calculate the
time delay of the ions from a model of the bunch geometry and find that the
bunch takes on a spherical form at the turning points in the electrostatic
mirrors. From this condition we derive how the observed bunch length depends on
the experimental parameters. We give an interpretation of the criteria for the
existence of the bunch, which were derived from the experimental observations
by Pedersen et al [Pedersen etal, Phys. Rev. A 65 042704].Comment: 25 pages, 6 figures; added new section 5 and clarified text;
submitted to J. Phys.
From Heisenberg matrix mechanics to EBK quantization: theory and first applications
Despite the seminal connection between classical multiply-periodic motion and
Heisenberg matrix mechanics and the massive amount of work done on the
associated problem of semiclassical (EBK) quantization of bound states, we show
that there are, nevertheless, a number of previously unexploited aspects of
this relationship that bear on the quantum-classical correspondence. In
particular, we emphasize a quantum variational principle that implies the
classical variational principle for invariant tori. We also expose the more
indirect connection between commutation relations and quantization of action
variables. With the help of several standard models with one or two degrees of
freedom, we then illustrate how the methods of Heisenberg matrix mechanics
described in this paper may be used to obtain quantum solutions with a modest
increase in effort compared to semiclassical calculations. We also describe and
apply a method for obtaining leading quantum corrections to EBK results.
Finally, we suggest several new or modified applications of EBK quantization.Comment: 37 pages including 3 poscript figures, submitted to Phys. Rev.
Macrophyte trenches for septic tank effluent
Macrophyte trenches for septic tank effluen
The quantum-classical crossover of a field mode
We explore the quantum-classical crossover in the behaviour of a quantum
field mode. The quantum behaviour of a two-state system - a qubit - coupled to
the field is used as a probe. Collapse and revival of the qubit inversion form
the signature for quantum behaviour of the field and continuous Rabi
oscillations form the signature for classical behaviour of the field. We
demonstrate both limits in a single model for the full coupled system, for
states with the same average field strength, and so for qubits with the same
Rabi frequency.Comment: 6 pages, 3 figures (in this version the figures, text and references
have all been expanded
Recommendation model based on opinion diffusion
Information overload in the modern society calls for highly efficient
recommendation algorithms. In this letter we present a novel diffusion based
recommendation model, with users' ratings built into a transition matrix. To
speed up computation we introduce a Green function method. The numerical tests
on a benchmark database show that our prediction is superior to the standard
recommendation methods.Comment: 5 pages, 2 figure
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