798 research outputs found
Spin kinetic theory - quantum kinetic theory in extended phase space
The concept of phase space distribution functions and their evolution is used
in the case of en enlarged phase space. In particular, we include the intrinsic
spin of particles and present a quantum kinetic evolution equation for a scalar
quasi-distribution function. In contrast to the proper Wigner transformation
technique, for which we expect the corresponding quasi-distribution function to
be a complex matrix, we introduce a spin projection operator for the density
matrix in order to obtain the aforementioned scalar quasi-distribution
function. There is a close correspondence between this projection operator and
the Husimi (or Q) function used extensively in quantum optics. Such a function
is based on a Gaussian smearing of a Wigner function, giving a positive
definite distribution function. Thus, our approach gives a Wigner-Husimi
quasi-distribution function in extended phase space, for which the reduced
distribution function on the Bloch sphere is strictly positive. We also discuss
the gauge issue and the fluid moment hierarchy based on such a quantum kinetic
theory.Comment: 10 pages, to appear in Transport Theory and Statistical Physics,
proceedings of Vlasovia III, 200
Nonlinear response of a thin metamaterial film containing Josephson junctions
An interaction of electromagnetic field with metamaterial thin film
containing split-ring resonators with Josephson junctions is considered. It is
shown that dynamical self-inductance in a split rings results in reduction of
magnetic flux through a ring and this reduction is proportional to a time
derivative of split ring magnetization. Evolution of thin film magnetization
taking into account dynamical self-inductance is studied. New mechanism for
excitation of waves in one dimensional array of split-ring resonators with
Josephson junctions is proposed. Nonlinear magnetic susceptibility of such thin
films is obtained in the weak amplitude approximation.Comment: 6 figure
Scalar quantum kinetic theory for spin-1/2 particles: mean field theory
Starting from the Pauli Hamiltonian operator, we derive a scalar quantum
kinetic equations for spin-1/2 systems. Here the regular Wigner two-state
matrix is replaced by a scalar distribution function in extended phase space.
Apart from being a formulation of principal interest, such scalar quantum
kinetic equation makes the comparison to classical kinetic theory
straightforward, and lends itself naturally to currently available numerical
Vlasov and Boltzmann schemes. Moreover, while the quasi-distribution is a
Wigner function in regular phase space, it is given by a Q-function in spin
space. As such, nonlinear and dynamical quantum plasma problems are readily
handled. Moreover, the issue of gauge invariance is treated. Applications (e.g.
ultra-dense laser compressed targets and their diagnostics), possible
extensions, and future improvements of the presented quantum statistical model
are discussed.Comment: 21 pages, 2 figure
Recent Advancement on the Excitonic and Biexcitonic Properties of Low-Dimensional Semiconductors
Knowing excitonic and biexcitonic properties of low-dimensional semiconductors systems is extremely important for the discovery of new physical effects and for the development of novel optoelectronics applications. This review work furnishes an interdisciplinary analysis of the fundamental features of excitons and biexcitons in two-dimensional semiconductor structures, one-dimensional semiconductor structures, and zero-dimensional (0D) semiconductor structures. There is a focus on spectral and dynamical properties of excitons and biexcitons in quantum dots (QDs). A study of the recent advances in the field is given, emphasizing the latest theoretical results and latest experimental methods for probing exciton and biexciton dynamics. This review presents an outlook on future applications of engineered multiexcitonic states including the photovoltaics, lasing, and the utilization of QDs in quantum technologies
On a method to calculate conductance by means of the Wigner function: two critical tests
We have implemented the linear response approximation of a method proposed to
compute the electron transport through correlated molecules based on the
time-independent Wigner function [P. Delaney and J. C. Greer, \prl {\bf 93},
36805 (2004)]. The results thus obtained for the zero-bias conductance through
quantum dot both without and with correlations demonstrate that this method is
either quantitatively nor qualitatively able to provide a correct physical
escription of the electric transport through nanosystems. We present an
analysis indicating that the failure is due to the manner of imposing the
boundary conditions, and that it cannot be simply remedied.Comment: 22 pages, 7 figur
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