220 research outputs found
Molecular Feshbach dissociation as a source for motionally entangled atoms
We describe the dissociation of a diatomic Feshbach molecule due to a
time-varying external magnetic field in a realistic trap and guide setting. An
analytic expression for the asymptotic state of the two ultracold atoms is
derived, which can serve as a basis for the analysis of dissociation protocols
to generate motionally entangled states. For instance, the gradual dissociation
by sequences of magnetic field pulses may delocalize the atoms into
macroscopically distinct wave packets, whose motional entanglement can be
addressed interferometrically. The established relation between the applied
magnetic field pulse and the generated dissociation state reveals that
square-shaped magnetic field pulses minimize the momentum spread of the atoms.
This is required to control the detrimental influence of dispersion in a
recently proposed experiment to perform a Bell test in the motion of the two
atoms [C. Gneiting and K. Hornberger, Phys. Rev. Lett. 101, 260503 (2008)].Comment: 12 pages, 3 figures; corresponds to published versio
Aperture Integral Ultrasonic Pulse Transmission Model
This paper discusses a numerical algorithm and supporting formulation for evaluating ultrasonic pulse transmission through non-planar component geometries. The algorithm is engineered to model experimental configurations where irregularities in surface geometry preclude the use of less rigorous approaches, such as a field expansion about a single entry point. The algorithm formulation represents the transmitted pulse as a surface integral coinciding with a pulse origin aperture, employing the Green function for the water-component system. The model explicitly considers the component surface geometry over the footprint of the incident pulse, thus allowing consideration of smooth yet non-expandable (i.e. in power series about a single point) geometries, such as adjoining flat and fillet surfaces. A computationally efficient algorithm results from use of asymptotic Green function approximations. Approaches are also discussed under conditions where the asymptotic Green function expressions are singular or invalid, due to focusing by surface concavity or transmission near critical angles. Consideration of pulse time dependence represents an extension of previous work [1], as also does treatment of surface concavity and critical angle transmission. The following sections summarize theoretical formulation and algorithmic implementation, followed by the presentation of illustrative computations
Echolocation by Quasiparticles
It is shown that the local density of states (LDOS), measured in an Scanning
Tunneling Microscopy (STM) experiment, at a single tip position contains
oscillations as a function of Energy, due to quasiparticle interference, which
is related to the positions of nearby scatterers. We propose a method of STM
data analysis based on this idea, which can be used to locate the scatterers.
In the case of a superconductor, the method can potentially distinguish the
nature of the scattering by a particular impurity.Comment: 4+ page
Regularization of fluctuations near the sonic horizon due to the quantum potential and its influence on the Hawking radiation
We consider dynamics of fluctuations in transonically accelerating
Bose-Einstein condensates and luminous liquids (coherent light propagating in a
Kerr nonlinear medium) using the hydrodynamic approach. It is known that
neglecting the quantum potential (QP) leads to a singular behavior of quantum
and classical fluctuations in the vicinity of the Mach (sonic) horizon, which
in turn gives rise to the Hawking radiation. The neglect of QP is well founded
at not too small distances from the horizon, where is the
healing length. Taking the QP into account we show that a second characteristic
length exists, such that the linear fluctuation modes become
regularized for . At the modes keep their singular
behavior, which however is influenced by the QP. As a result we find a
deviation of the high frequency tail of the spectrum of Hawking radiation from
Planck's black body radiation distribution. Similar results hold for the wave
propagation in Kerr nonlinear media where the length and exist due
to the nonlinearity.Comment: 23 pages, 2 figure
Entanglement dynamics via coherent-state propagators
The dynamical generation of entanglement in closed bipartite systems is
investigated in the semiclassical regime. We consider a model of two particles,
initially prepared in a product of coherent states, evolving in time according
to a generic Hamiltonian, and derive a formula for the linear entropy of the
reduced density matrix using the semiclassical propagator in the coherent-state
representation. The formula is explicitly written in terms of quantities that
define the stability of classical trajectories of the underlying classical
system. The formalism is then applied to the problem of two nonlinearly coupled
harmonic oscillators and the result is shown to be in remarkable agreement with
the exact quantum measure of entanglement in the short-time regime. An
important byproduct of our approach is a unified semiclassical formula which
contemplates both the coherent-state propagator and its complex conjugate.Comment: 10 page
Landau functions for non-interacting bosons
We discuss the statistics of Bose-Einstein condensation (BEC) in a canonical
ensemble of N non-interacting bosons in terms of a Landau function L_N^{BEC}
(q) defined by the logarithm of the probability distribution of the order
parameter q for BEC. We also discuss the corresponding Landau function for
spontaneous symmetry breaking (SSB), which for finite N should be distinguished
from L_N^{BEC}. Only for intinite N BEC and SSB can be described by the same
Landau function which depends on the dimensionality and on the form of the
external potential in a surprisingly complex manner. For bosons confined by a
three-dimensional harmonic trap the Landau function exhibits the usual behavior
expected for continuous phase transitions.Comment: 4 pages, 4 figures; final version to appear as a rapid communication
in Physical Review A. Abstract modified and typos correcte
Dynamic interference of photoelectrons produced by high-frequency laser pulses
The ionization of an atom by a high-frequency intense laser pulse, where the
energy of a single-photon is sufficient to ionize the system, is investigated
from first principles. It is shown that as a consequence of an AC Stark effect
in the continuum, the energy of the photoelectron follows the envelope of the
laser pulse. This is demonstrated to result in strong dynamic interference of
the photoelectrons of the same kinetic energy emitted at different times.
Numerically exact computations on the hydrogen atom demonstrate that the
dynamic interference spectacularly modifies the photoionization process and is
prominently manifested in the photoelectron spectrum by the appearance of a
distinct multi-peak pattern. The general theory is shown to be well
approximated by explicit analytical expressions which allow for a transparent
understanding of the discovered phenomena and for making predictions on the
dependence of the measured spectrum on the properties of the pulse.Comment: 5 figure
Gender and Optimism as Predictors of Novice ESOL Teaching Performance
Both current and past research examining novice ESOL teachers has focused on issues such as educational background and classroom demographics (Yeo et al., 2008), but little research has focused on potential variables that influences perceived teaching performance. Consequently, the aim of this study is to examine the relationship between gender, optimism, and perceived teaching performance amongst novice ESOL teachers. Graduates from two hybrid TESOL graduate programs (N=47) were sampled and surveyed. Optimism significantly predicted perceived teaching performance, t(43)= 3.17, p=.003 and there was an marginal association between gender and perceived teaching performance, t(43)= -1.92, p=.06. Further analyses indicated that the mean ratings of teaching performance were significantly different between men and women, F(1, 45)= 5.12, p=.03. In sum, our results suggest that gender and optimism are factors in perceptions of teacher efficacy amongst novice ESOL teachers. The findings of this study with optimism, gender, and teaching performance not only add empirical data for this group, but also provides a platform to further examine this unique population
A complex ray-tracing tool for high-frequency mean-field flow interaction effects in jets
This paper presents a complex ray-tracing tool for the calculation of high-frequency Green’s functions in 3D mean field jet flows. For a generic problem, the ray solution suffers from three main deficiencies: multiplicity of solutions, singularities at caustics, and the determining of complex solutions. The purpose of this paper is to generalize, combine and apply existing stationary media methods to moving media scenarios. Multiplicities are dealt with using an equivalent two-point boundary-value problem, whilst non-uniformities at caustics are corrected using diffraction catastrophes. Complex rays are found using a combination of imaginary perturbations, an assumption of caustic stability, and analytic continuation of the receiver curve. To demonstrate this method, the ray tool is compared against a high-frequency modal solution of Lilley’s equation for an off-axis point source. This solution is representative of high-frequency source positions in real jets and is rich in caustic structures. A full utilization of the ray tool is shown to provide excellent results<br/
Representation of Quantum Mechanical Resonances in the Lax-Phillips Hilbert Space
We discuss the quantum Lax-Phillips theory of scattering and unstable
systems. In this framework, the decay of an unstable system is described by a
semigroup. The spectrum of the generator of the semigroup corresponds to the
singularities of the Lax-Phillips -matrix. In the case of discrete (complex)
spectrum of the generator of the semigroup, associated with resonances, the
decay law is exactly exponential. The states corresponding to these resonances
(eigenfunctions of the generator of the semigroup) lie in the Lax-Phillips
Hilbert space, and therefore all physical properties of the resonant states can
be computed.
We show that the Lax-Phillips -matrix is unitarily related to the
-matrix of standard scattering theory by a unitary transformation
parametrized by the spectral variable of the Lax-Phillips theory.
Analytic continuation in has some of the properties of a method
developed some time ago for application to dilation analytic potentials.
We work out an illustrative example using a Lee-Friedrichs model for the
underlying dynamical system.Comment: Plain TeX, 26 pages. Minor revision
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