7,370 research outputs found
Dynamics of Impurity and Valence Bands in GaMnAs within the Dynamical Mean Field Approximation
We calculate the density-of-states and the spectral function of GaMnAs within
the dynamical mean-field approximation. Our model includes the competing
effects of the strong spin-orbit coupling on the J=3/2 GaAs hole bands and the
exchange interaction between the magnetic ions and the itinerant holes. We
study the quasi-particle and impurity bands in the paramagnetic and
ferromagnetic phases for different values of impurity-hole coupling at the Mn
doping of x=0.05. By analyzing the anisotropic angular distribution of the
impurity band carriers at T=0, we conclude that the carrier polarization is
optimal when the carriers move along the direction parallel to the average
magnetization.Comment: 6 pages, 4 figure
Stable Quantum Resonances in Atom Optics
A theory for stabilization of quantum resonances by a mechanism similar to
one leading to classical resonances in nonlinear systems is presented. It
explains recent surprising experimental results, obtained for cold Cesium atoms
when driven in the presence of gravity, and leads to further predictions. The
theory makes use of invariance properties of the system, that are similar to
those of solids, allowing for separation into independent kicked rotor
problems. The analysis relies on a fictitious classical limit where the small
parameter is {\em not} Planck's constant, but rather the detuning from the
frequency that is resonant in absence of gravity.Comment: 5 pages, 3 figure
A classical scaling theory of quantum resonances
The quantum resonances occurring with delta-kicked particles are studied with
the help of a fictitious classical limit, establishing a direct correspondence
between the nearly resonant quantum motion and the classical resonances of a
related system. A scaling law which characterizes the structure of the resonant
peaks is derived and numerically demonstrated.Comment: 4 pages, 2 Fig
The Localization Length of Stationary States in the Nonlinear Schreodinger Equation
For the nonlinear Schreodinger equation (NLSE), in presence of disorder,
exponentially localized stationary states are found. In the present Letter it
is demonstrated analytically that the localization length is typically
independent of the strength of the nonlinearity and is identical to the one
found for the corresponding linear equation. The analysis makes use of the
correspondence between the stationary NLSE and the Langevin equation as well as
of the resulting Fokker-Planck equation. The calculations are performed for the
``white noise'' random potential and an exact expression for the exponential
growth of the eigenstates is obtained analytically. It is argued that the main
conclusions are robust
Quantum chaos of a mixed, open system of kicked cold atoms
The quantum and classical dynamics of particles kicked by a gaussian
attractive potential are studied. Classically, it is an open mixed system (the
motion in some parts of the phase space is chaotic, and in some parts it is
regular). The fidelity (Lochshmidt echo) is found to exhibit oscillations that
can be determined from classical considerations but are sensitive to phase
space structures that are smaller than Planck's constant. Families of
quasi-energies are determined from classical phase space structures.
Substantial differences between the classical and quantum dynamics are found
for time dependent scattering. It is argued that the system can be
experimentally realized by cold atoms kicked by a gaussian light beam.Comment: 19 pages, 21 figures, (accepted for publication in Phys. Rev. E
Coarse Grained Liouville Dynamics of piecewise linear discontinuous maps
We compute the spectrum of the classical and quantum mechanical
coarse-grained propagators for a piecewise linear discontinuous map. We analyze
the quantum - classical correspondence and the evolution of the spectrum with
increasing resolution. Our results are compared to the ones obtained for a
mixed system.Comment: 11 pages, 8 figure
The Role of Muslim Devotional Practices in the Reversal of Language Shift
Fishman’s 1991 scale for evaluating language vitality proposes a stage in language shift
where exclusively the older generation takes part in ‘rituals’, ‘concerts’ and ‘songfests’ in
the minority language. Once this generation dies away, according to the scale, these cultural
practices disappear with them. Within certain Muslim youth communities in the UK counter
examples exist where the younger generation leads the way in reviving, performing and
extending the repertoire of this religio-cultural heritage. Although this emerging expanded
repertoire of song and poetry is clearly multilingual in nature, recitation and performance of
the community heritage languages, Urdu and Punjabi, feature strongly. What remains to
discover is whether such increasing familiarity with poetic language and form can impact
positively on reversing the language shift these communities are experiencing in their third
and fourth generations. Although there is evidence (Ostler & Lintinger 2015) that singing and
reciting in other minority language settings, secular and religious, are not infrequent pursuits
of youth, it is argued in this article that an accompanying religious revival provides an
important extra, galvanising, boost to the process of possible reversing language shift. It is
suggested that available scales for evaluating language vitality are inadequate in the face of
complex diasporic minority language settings
A numerical and symbolical approximation of the Nonlinear Anderson Model
A modified perturbation theory in the strength of the nonlinear term is used
to solve the Nonlinear Schroedinger Equation with a random potential. It is
demonstrated that in some cases it is more efficient than other methods.
Moreover we obtain error estimates. This approach can be useful for the
solution of other nonlinear differential equations of physical relevance.Comment: 21 pages and 7 figure
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