329 research outputs found
Lorentz-covariant, unitary evolution of a relativistic Majorana qubit
We formulate a covariant description of a relativistic qubit identified with an irreducible set of quantum spin states of a Majorana particle with a sharp momentum. We treat the particle’s four-momentum as an external parameter. We show that it is possible to define an interesting time evolution of the spin density matrix of such a qubit. This evolution is manifestly Lorentz covariant in the bispinor representation and unitary in the spin representation. Moreover, during this evolution the Majorana particle undergoes an uniformly accelerated motion. We classify possible types of such motions, and finally we illustrate the behaviour of the polarization vector of the Majorana qubit during the evolution in some special cases
Helicity correlations of vector bosons
We calculate the helicity and polarization correlation functions in the
Einstein-Podolsky-Rosen-type experiments with relativistic vector bosons. We
show that the linear polarization correlation function in the appriopriately
chosen state in the massless limit is the same as the correlation function in
the scalar two-photon state. We show also that the polarization correlation
function violate the Clauser-Horne-Shimony-Holt inequality and that the degree
of this violation can increase with the particle momentum.Comment: 8 pages, 3 figure
Einstein-Podolsky-Rosen correlations of Dirac particles - quantum field theory approach
We calculate correlation function in the Einstein--Podolsky--Rosen type of
experiment with massive relativistic Dirac particles in the framework of the
quantum field theory formalism. We perform our calculations for states which
are physically interesting and transforms covariantly under the full Lorentz
group action, i.e. for pseudoscalar and vector state.Comment: 9 pages, 2 figures. Published versio
Effect of growth pressure on coalescence thickness and crystal quality of GaN deposited on 4H-SiC
Cataloged from PDF version of article.The influence of growth pressure on the coalescence thickness and the crystal quality of GaN deposited on 4H-SiC by low pressure metalorganic vapor phase epitaxy was studied. It was shown that growth pressure has an impact on the surface roughness of epilayers and their crystal quality. GaN coalescence thicknesses were determined for the investigated growth pressures. The GaN layers were characterized by AFM and HRXRD measurements. HEMT structures were also fabricated and characterized. Among the growth pressures studied, 50, 125 and 200 mbar, 200 mbar was found to be most suitable for GaN/SiC epitaxy. (C) 2010 Elsevier B.V. All rights reserved
Unstable particles as open quantum systems
We present the probability preserving description of the decaying particle
within the framework of quantum mechanics of open systems taking into account
the superselection rule prohibiting the superposition of the particle and
vacuum. In our approach the evolution of the system is given by a family of
completely positive trace preserving maps forming one-parameter dynamical
semigroup. We give the Kraus representation for the general evolution of such
systems which allows one to write the evolution for systems with two or more
particles. Moreover, we show that the decay of the particle can be regarded as
a Markov process by finding explicitly the master equation in the Lindblad
form. We also show that there are remarkable restrictions on the possible
strength of decoherence.Comment: 11 pp, 2 figs (published version
Destruction of states in quantum mechanics
A description of destruction of states on the grounds of quantum mechanics
rather than quantum field theory is proposed. Several kinds of maps called
supertraces are defined and used to describe the destruction procedure. The
introduced algorithm can be treated as a supplement to the von Neumann-Lueders
measurement. The discussed formalism may be helpful in a description of EPR
type experiments and in quantum information theory.Comment: 14 pp, 1 eps figure, LaTeX2e using iopart class. Final version, will
be published in J. Phys. A: Math. Ge
Lorentz-covariant quantum mechanics and preferred frame
In this paper the relativistic quantum mechanics is considered in the
framework of the nonstandard synchronization scheme for clocks. Such a
synchronization preserves Poincar{\'e} covariance but (at least formally)
distinguishes an inertial frame. This enables to avoid the problem of a
noncausal transmision of information related to breaking of the Bell's
inequalities in QM. Our analysis has been focused mainly on the problem of
existence of a proper position operator for massive particles. We have proved
that in our framework such an operator exists for particles with arbitrary
spin. It fulfills all the requirements: it is Hermitean and covariant, it has
commuting components and moreover its eigenvectors (localised states) are also
covariant. We have found the explicit form of the position operator and have
demonstrated that in the preferred frame our operator coincides with the
Newton--Wigner one. We have also defined a covariant spin operator and have
constructed an invariant spin square operator. Moreover, full algebra of
observables consisting of position operators, fourmomentum operators and spin
operators is manifestly Poincar\'e covariant in this framework. Our results
support expectations of other authors (Bell, Eberhard) that a consistent
formulation of quantum mechanics demands existence of a preferred frame.Comment: 21 pages, LaTeX file, no figure
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