186 research outputs found
Multiple Quantum NMR Dynamics in Dipolar Ordered Spin Systems
We investigate analytically and numerically the Multiple Quantum (MQ) NMR
dynamics in systems of nuclear spins 1/2 coupled by the dipole-dipole
interactions in the case of the dipolar ordered initial state. We suggest two
different methods of MQ NMR. One of them is based on the measurement of the
dipolar temperature in the quasi-equilibrium state which establishes after the
time of order T2 after the MQ NMR experiment. The other method uses an
additional resonance 45^0 -pulse after the preparation period of the standard
MQ NMR experiment in solids. Many-spin clusters and correlations are created
faster in such experiments than in the usual MQ NMR experiments and can be used
for the investigation of many-spin dynamics of nuclear spins in solids.Comment: 11 pages, 3 figures. accepted for publication in Physical Review
The multiple quantum NMR dynamics in systems of equivalent spins with the dipolar ordered initial state
The multiple quantum (MQ) NMR dynamics in the system of equivalent spins with
the dipolar ordered initial state is considered. The high symmetry of the MQ
Hamiltonian is used in order to develop the analytical and numerical methods
for an investigation of the MQ NMR dynamics in the systems consisting of
hundreds of spins from "the first principles". We obtain the dependence of the
intensities of the MQ NMR coherences on their orders (profiles of the MQ NMR
coherences) for the systems of spins. It is shown that these
profiles may be well approximated by the exponential distribution functions. We
also compare the MQ NMR dynamics in the systems of equivalent spins having two
different initial states, namely the dipolar ordered state and the thermal
equilibrium state in the strong external magnetic field.Comment: 11 pages 4 figure
Exact results on spin dynamics and multiple quantum dynamics in alternating spin-1/2 chains with XY-Hamiltonian at high temperatures
We extend the picture of a transfer of nuclear spin-1/2 polarization along a
homogeneous one-dimensional chain with the XY-Hamiltonian to the inhomogeneous
chain with alternating nearest neighbour couplings and alternating Larmor
frequencies. To this end, we calculate exactly the spectrum of the spin-1/2
XY-Hamiltonian of the alternating chain with an odd number of sites. The exact
spectrum of the XY-Hamiltonian is also applied to study the multiple quantum
(MQ) NMR dynamics of the alternating spin-1/2 chain. MQ NMR spectra are shown
to have the MQ coherences of zero and second orders just as in the case
of a homogeneous chain. The intensities of the MQ coherences are calculated.Comment: 10 pages, 4 figure
Evolution of spin entanglement and an entanglement witness in multiple-quantum NMR experiments
We investigate the evolution of entanglement in multiple-quantum (MQ) NMR
experiments in crystals with pairs of close nuclear spins-1/2. The initial
thermodynamic equilibrium state of the system in a strong external magnetic
field evolves under the non-secular part of the dipolar Hamiltonian. As a
result, MQ coherences of the zeroth and plus/minus second orders appear. A
simple condition for the emergence of entanglement is obtained. We show that
the measure of the spin pair entanglement, concurrence, coincides qualitatively
with the intensity of MQ coherences of the plus/minus second order and hence
the entanglement can be studied with MQ NMR methods. We introduce an
Entanglement Witness using MQ NMR coherences of the plus/minus second order.Comment: 5 pages, 2 figure
Asymmetry of bipartite quantum discord
It is known from the analysis of the density matrix for bipartite systems
that the quantum discord (as a measure of quantum correlations) depends on the
particular subsystem chosen for the projective measurements. We study asymmetry
of the discord in a simple physical model of two spin-1/2 particles with the
dipole-dipole interaction governed by the XY Hamiltonian in the inhomogeneous
magnetic field. The dependence of the above discord asymmetry on the Larmour
frequencies at both T=0 (the ground state) and has been investigated. It
is demonstrated, in particular, that the asymmetry is negligible for high
temperatures but it may become significant with the decrease in temperature.Comment: 5 pages 3 figure
Adiabatic demagnetization and generation of entanglement in spin systems
We study the entanglement emergence in a dipolar-coupled nuclear spin-1/2
system cooled using the adiabatic demagnetization technique. The unexpected
behavior of entanglement for the next- and next-next-neighbor spins is
revealed: entangled states of a spin system appear in two distinct temperature
and magnetic field regions separated by a zero-concurrence area. The magnetic
field dependence of the concurrence can have two maximums which positions are
determined by the initial conditions and number of spins in a chain.Comment: 9 figures; Physics Letters A 201
Морфофункциональные характеристики у женщин среднего и пожилого возраста с ишемическим инсультом
The morphologic functional characteristics in middle and elderly aged women with ischemic stroke were examined. It is shown that disease difficulty and disablement group definition may be explain by oestrogen deficit – one of risk factors.Проведено исследование морфофункциональных характеристик женщин среднего и пожилого возраста с ишемическим инсультом. Показано, что тяжесть заболевания и определение группы инвалидности объясняются возрастным эстрогенодефицитом как одним из факторов риска
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