15,880 research outputs found
Electric Deflection of Rotating Molecules
We provide a theory of the deflection of polar and non-polar rotating
molecules by inhomogeneous static electric field. Rainbow-like features in the
angular distribution of the scattered molecules are analyzed in detail.
Furthermore, we demonstrate that one may efficiently control the deflection
process with the help of short and strong femtosecond laser pulses. In
particular the deflection process may by turned-off by a proper excitation, and
the angular dispersion of the deflected molecules can be substantially reduced.
We study the problem both classically and quantum mechanically, taking into
account the effects of strong deflecting field on the molecular rotations. In
both treatments we arrive at the same conclusions. The suggested control scheme
paves the way for many applications involving molecular focusing, guiding, and
trapping by inhomogeneous fields
Controlling Molecular Scattering by Laser-Induced Field-Free Alignment
We consider deflection of polarizable molecules by inhomogeneous optical
fields, and analyze the role of molecular orientation and rotation in the
scattering process. It is shown that molecular rotation induces spectacular
rainbow-like features in the distribution of the scattering angle. Moreover, by
preshaping molecular angular distribution with the help of short and strong
femtosecond laser pulses, one may efficiently control the scattering process,
manipulate the average deflection angle and its distribution, and reduce
substantially the angular dispersion of the deflected molecules. We provide
quantum and classical treatment of the deflection process. The effects of
strong deflecting field on the scattering of rotating molecules are considered
by the means of the adiabatic invariants formalism. This new control scheme
opens new ways for many applications involving molecular focusing, guiding and
trapping by optical and static fields
Abelian Gauge Theory in de Sitter Space
Quantization of spinor and vector free fields in 4-dimensional de Sitter
space-time, in the ambient space notation, has been studied in the previous
works. Various two-points functions for the above fields are presented in this
paper. The interaction between the spinor field and the vector field is then
studied by the abelian gauge theory. The U(1) gauge invariant spinor field
equation is obtained in a coordinate independent way notation and their
corresponding conserved currents are computed. The solution of the field
equation is obtained by use of the perturbation method in terms of the Green's
function. The null curvature limit is discussed in the final stage.Comment: 10 pages, typos corrected, reference adde
Proposed Rabi-Kondo Correlated State in a Laser-Driven Semiconductor Quantum Dot
Spin exchange between a single-electron charged quantum dot and itinerant
electrons leads to an emergence of Kondo correlations. When the quantum dot is
driven resonantly by weak laser light, the resulting emission spectrum allows
for a direct probe of these correlations. In the opposite limit of vanishing
exchange interaction and strong laser drive, the quantum dot exhibits coherent
oscillations between the single-spin and optically excited states. Here, we
show that the interplay between strong exchange and non-perturbative laser
coupling leads to the formation of a new nonequilibrium quantum-correlated
state, characterized by the emergence of a laser-induced secondary spin
screening cloud, and examine the implications for the emission spectrum
Spin-orbit induced interference in polygon-structures
We investigate the spin-orbit induced spin-interference pattern of ballistic
electrons travelling along any regular polygon. It is found that the
spin-interference depends strongly on the Rashba and Dresselhaus spin-orbit
constants as well as on the sidelength and alignment of the polygon. We derive
the analytical formulae for the limiting cases of either zero Dresselhaus or
zero Rashba spin-orbit coupling, including the result obtained for a circle. We
calculate the nonzero Dresselhaus and Rashba case numerically for the square,
triangle, hexagon, and circle and discuss the observability of the
spin-interference which can potentially be used to measure the Rashba and
Dresselhaus coefficients.Comment: 17 pages, 4 figure
Nonequilibrium Approach to Bloch-Peierls-Berry Dynamics
We examine the Bloch-Peierls-Berry dynamics under a classical nonequilibrium
dynamical formulation. In this formulation all coordinates in phase space
formed by the position and crystal momentum space are treated on equal footing.
Explicitly demonstrations of the no (naive) Liouville theorem and of the
validity of Darboux theorem are given. The explicit equilibrium distribution
function is obtained. The similarities and differences to previous approaches
are discussed. Our results confirm the richness of the Bloch-Peierls-Berry
dynamics
Lagrangian Variational Framework for Boundary Value Problems
A boundary value problem is commonly associated with constraints imposed on a
system at its boundary. We advance here an alternative point of view treating
the system as interacting "boundary" and "interior" subsystems. This view is
implemented through a Lagrangian framework that allows to account for (i) a
variety of forces including dissipative acting at the boundary; (ii) a
multitude of features of interactions between the boundary and the interior
fields when the boundary fields may differ from the boundary limit of the
interior fields; (iii) detailed pictures of the energy distribution and its
flow; (iv) linear and nonlinear effects. We provide a number of elucidating
examples of the structured boundary and its interactions with the system
interior. We also show that the proposed approach covers the well known
boundary value problems.Comment: 41 pages, 3 figure
Foundation of Statistical Mechanics under experimentally realistic conditions
We demonstrate the equilibration of isolated macroscopic quantum systems,
prepared in non-equilibrium mixed states with significant population of many
energy levels, and observed by instruments with a reasonably bound working
range compared to the resolution limit. Both properties are fulfilled under
many, if not all, experimentally realistic conditions. At equilibrium, the
predictions and limitations of Statistical Mechanics are recovered.Comment: Accepted in Phys. Rev. Let
Theory of four-wave mixing of matter waves from a Bose-Einstein condensate
A recent experiment [Deng et al., Nature 398, 218(1999)] demonstrated
four-wave mixing of matter wavepackets created from a Bose-Einstein condensate.
The experiment utilized light pulses to create two high-momentum wavepackets
via Bragg diffraction from a stationary Bose-Einstein condensate. The
high-momentum components and the initial low momentum condensate interact to
form a new momentum component due to the nonlinear self-interaction of the
bosonic atoms. We develop a three-dimensional quantum mechanical description,
based on the slowly-varying-envelope approximation, for four-wave mixing in
Bose-Einstein condensates using the time-dependent Gross-Pitaevskii equation.
We apply this description to describe the experimental observations and to make
predictions. We examine the role of phase-modulation, momentum and energy
conservation (i.e., phase-matching), and particle number conservation in
four-wave mixing of matter waves, and develop simple models for understanding
our numerical results.Comment: 18 pages Revtex preprint form, 13 eps figure
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