22 research outputs found
Gaussian to Exponential Crossover in the Attenuation of Polarization Echoes in NMR
An ingenious pulse sequence devised by S. Zhang, B. H. Meier, and R. R. Ernst
(Phys. Rev. Lett. {\bf 69}, 2149 (1992)) reverses the time evolution (``spin
diffusion'') of the local polarization in a dipolar coupled H spin
system. This refocusing originates a Polarization Echo whose amplitude
attenuates by increasing the time elapsed until the dynamics is reversed.
Different functional attenuations are found for a set of dipolar coupled
systems: ferrocene, (CH)Fe, cymantrene, (CH)Mn(CO), and
cobaltocene, (CH)Co. To control a relevant variable involved in
this attenuation a pulse sequence has been devised to progressively reduce the
dipolar dynamics. Since it reduces the evolution of the polarization echo it is
referred as REPE sequence. Two extreme behaviors were found while
characterizing the materials: In systems with a strong source of relaxation and
slow dynamics, the attenuation follows an exponential law (cymantrene). In
systems with a strong dipolar dynamics the attenuation is mainly Gaussian. By
the application of the REPE sequence the characteristic time of the Gaussian
decay is increased until the presence of an underlying dissipative mechanism is
revealed (cobaltocene). For ferrocene, however, the attenuation remains
Gaussian within the experimental time scale. These two behaviors suggest that
the many body quantum dynamics presents an extreme intrinsic instability which,
in the presence of small perturbations, leads to the onset of irreversibility.
This experimental conclusion is consistent with the tendencies displayed by the
numerical solutions of model systems.Comment: 7 pages + 7 Postscript figure
Spin projection chromatography
We formulate the many-body spin dynamics at high temperature within the
non-equilibrium Keldysh formalism. For the simplest XY interaction, analytical
expressions in terms of the one particle solutions are obtained for linear and
ring configurations. For small rings of even spin number, the group velocities
of excitations depend on the parity of the total spin projection. This should
enable a dynamical filtering of spin projections with a given parity i.e. a
Spin projection chromatography.Comment: 13 pages, 3 figure
Attenuation of polarization echoes in NMR: A study of the emergence of dynamical irreversibility in many-body quantum systems
The reversal of the time evolution of the local polarization in an
interacting spin system involves a sign change of the effective dipolar
Hamiltonian which refocuses the 'spin diffusion' process generating a
polarization echo. Here, the attenuation of these echo amplitudes as a function
of evolution time is presented for cymantrene and ferrocene polycrystalline
samples, involving one and two five spin rings per molecule respectively. We
calculate the fraction of polarization which is not refocused because only the
secular part of the dipolar Hamiltonian is inverted. The results indicate that,
as long as the spin dynamics is restricted to a single ring, the non-inverted
part of the Hamiltonian is notable by itself to explain the whole decay of the
polarization echoes. A cross over from exponential (cymantrene) to Gaussian
(ferrocene) attenuation is experimentally observed. This is attributed to an
increase of the relative importance of the spin dynamics, as compared with
irreversible interactions, which favors dynamical irreversibility.Comment: 6 pages in Revtex, 11 Postscript figures. Final versio
Decoherence as attenuation of mesoscopic echoes in a spin-chain channel
An initial local excitation in a confined quantum system evolves exploring
the whole system, returning to the initial position as a mesoscopic echo at the
Heisenberg time. We consider a two weakly coupled spin chains, a spin ladder,
where one is a quantum channel while the other represents an environment. We
quantify decoherence in the quantum channel through the attenuation of the
mesoscopic echoes. We evaluate decoherence rates for different ratios between
sources of amplitude fluctuation and dephasing in the inter-chain interaction
Hamiltonian. The many-body dynamics is seen as a one-body evolution with a
decoherence rate given by the Fermi golden rule.Comment: 12 pages, 7 figure
Quantum parallelism as a tool for ensemble spin dynamics calculations
Efficient simulations of quantum evolutions of spin-1/2 systems are relevant
for ensemble quantum computation as well as in typical NMR experiments. We
propose an efficient method to calculate the dynamics of an observable provided
that the initial excitation is "local". It resorts a single entangled pure
initial state built as a superposition, with random phases, of the pure
elements that compose the mixture. This ensures self-averaging of any
observable, drastically reducing the calculation time. The procedure is tested
for two representative systems: a spin star (cluster with random long range
interactions) and a spin ladder.Comment: 5 pages, 3 figures, improved version of the manuscrip
Perfect state transfers by selective quantum interferences within complex spin networks
We present a method that implement directional, perfect state transfers
within a branched spin network by exploiting quantum interferences in the
time-domain. That provides a tool to isolate subsystems from a large and
complex one. Directionality is achieved by interrupting the spin-spin coupled
evolution with periods of free Zeeman evolutions, whose timing is tuned to be
commensurate with the relative phases accrued by specific spin pairs. This
leads to a resonant transfer between the chosen qubits, and to a detuning of
all remaining pathways in the network, using only global manipulations. As the
transfer is perfect when the selected pathway is mediated by 2 or 3 spins,
distant state transfers over complex networks can be achieved by successive
recouplings among specific pairs/triads of spins. These effects are illustrated
with a quantum simulator involving 13C NMR on Leucine's backbone; a six-spin
network.Comment: 5 pages, 3 figure