510 research outputs found
Unexpected systematic degeneracy in a system of two coupled Gaudin models with homogeneous couplings
We report an unexpected systematic degeneracy between different multiplets in
an inversion symmetric system of two coupled Gaudin models with homogeneous
couplings, as occurring for example in the context of solid state quantum
information processing. We construct the full degenerate subspace (being of
macroscopic dimension), which turns out to lie in the kernel of the commutator
between the two Gaudin models and the coupling term. Finally we investigate to
what extend the degeneracy is related to the inversion symmetry of the system
and find that indeed there is a large class of systems showing the same type of
degeneracy.Comment: 13 pages, 4 figure
Hyperfine induced spin and entanglement dynamics in Double Quantum Dots: A homogeneous coupling approach
We investigate hyperfine induced electron spin and entanglement dynamics in a
system of two quantum dot spin qubits. We focus on the situation of zero
external magnetic field and concentrate on approximation-free theoretical
methods. We give an exact solution of the model for homogeneous hyperfine
coupling constants (with all coupling coefficients being equal) and varying
exchange coupling, and we derive the dynamics therefrom. After describing and
explaining the basic dynamical properties, the decoherence time is calculated
from the results of a detailed investigation of the short time electron spin
dynamics. The result turns out to be in good agreement with experimental data.Comment: 10 pages, 8 figure
Perturbative regimes in central spin models
Central spin models describe several types of solid state nanostructures
which are presently considered as possible building blocks of future quantum
information processing hardware. From a theoretical point of view, a key issue
remains the treatment of the flip-flop terms in the Hamiltonian in the presence
of a magnetic field. We systematically study the influence of these terms, both
as a function of the field strength and the size of the spin baths. We find
crucial differences between initial states with central spin configurations of
high and such of low polarizations. This has strong implications with respect
to the influence of a magnetic field on the flip-flop terms in central spin
models of a single and more than one central spin. Furthermore, the
dependencies on bath size and field differ from those anticipated so far. Our
results might open the route for the systematic search for more efficient
perturbative treatments of central spin problems.Comment: 7 pages, 3 figure
Lane reduction in driven 2d-colloidal systems through microchannels
The transport behavior of a system of gravitationally driven colloidal
particles is investigated. The particle interactions are determined by the
superparamagnetic behavior of the particles. They can thus be arranged in a
crystalline order by application of an external magnetic field. Therefore the
motion of the particles through a narrow channel occurs in well-defined lanes.
The arrangement of the particles is perturbed by diffusion and the motion
induced by gravity. Due to these combined influences a density gradient forms
along the direction of motion of the particles. A reconfiguration of the
crystal is observed leading to a reduction of the number of lanes. In the
course of the lane reduction transition a local melting of the
quasi-crystalline phase to a disordered phase and a subsequent crystallization
along the motion of the particles is observed. This transition is characterized
experimentally and using Brownian dynamics (BD) simulations.Comment: 4 pages, 4 figure
Different types of integrability and their relation to decoherence in central spin models
We investigate the relation between integrability and decoherence in central
spin models with more than one central spin. We show that there is a transition
between integrability ensured by the Bethe ansatz and integrability ensured by
complete sets of commuting operators. This has a significant impact on the
decoherence properties of the system, suggesting that it is not necessarily
integrability or nonintegrability which is related to decoherence, but rather
its type or a change from integrability to nonintegrability.Comment: 4 pages, 3 figure
Swapping and entangling hyperfine coupled nuclear spin baths
We numerically study the hyperfine induced nuclear spin dynamics in a system
of two coupled quantum dots in zero magnetic field. Each of the electron spins
is considered to interact with an individual bath of nuclear spins via
homogeneous coupling constants (all coupling coefficients being equal). In
order to lower the dimension of the problem, the two baths are approximated by
two single long spins. We demonstrate that the hyperfine interaction enables to
utilize the nuclear baths for quantum information purposes. In particular, we
show that it is possible to swap the nuclear ensembles on time scales of
seconds and indicate that it might even be possible to fully entangle them. As
a key result, it turns out that the larger the baths are, the more useful they
become as a resource of quantum information. Interestingly, the nuclear spin
dynamics strongly benefits from combining two quantum dots of different
geometry to a double dot set up.Comment: 6 pages, 7 figure
Non-diffractive mechanisms in the meson photoproduction on nucleons
We examine the non-diffractive mechanisms in the meson photoproduction
from threshold up to a few GeV using an effective Lagrangian in a constituent
quark model. The new data from CLAS at large angles can be consistently
accounted for in terms of {\it s}- and {\it u}-channel processes. Isotopic
effects arising from the reactions and , are investigated by comparing the cross sections and polarized beam
asymmetries. Our result highlights an experimental means of studying
non-diffractive mechanisms in meson photoproduction.Comment: 4 eps figures, version accepted by Phys. Lett.
Existence of the nonoscillatory solutions of higher order neutral dynamic equations on time scales
Binary trees, coproducts, and integrable systems
We provide a unified framework for the treatment of special integrable
systems which we propose to call "generalized mean field systems". Thereby
previous results on integrable classical and quantum systems are generalized.
Following Ballesteros and Ragnisco, the framework consists of a unital algebra
with brackets, a Casimir element, and a coproduct which can be lifted to higher
tensor products. The coupling scheme of the iterated tensor product is encoded
in a binary tree. The theory is exemplified by the case of a spin octahedron.Comment: 15 pages, 6 figures, v2: minor correction in theorem 1, two new
appendices adde
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