862 research outputs found
Simulations of Information Transport in Spin Chains
Transport of quantum information in linear spin chains has been the subject
of much theoretical work. Experimental studies by nuclear spin systems in
solid-state by NMR (a natural implementation of such models) is complicated
since the dipolar Hamiltonian is not solely comprised of nearest-neighbor
XY-Heisenberg couplings. We present here a similarity transformation between
the XY-Heisenberg Hamiltonian and the grade raising Hamiltonian, an interaction
which is achievable with the collective control provided by radio-frequency
pulses in NMR. Not only does this second Hamiltonian allows us to simulate the
information transport in a spin chain, but it also provides a means to observe
its signature experimentally
Inhomogeneous Nuclear Spin Flips
We discuss a feedback mechanism between electronic states in a double quantum
dot and the underlying nuclear spin bath. We analyze two pumping cycles for
which this feedback provides a force for the Overhauser fields of the two dots
to either equilibrate or diverge. Which of these effects is favored depends on
the g-factor and Overhauser coupling constant A of the material. The strength
of the effect increases with A/V_x, where V_x is the exchange matrix element,
and also increases as the external magnetic field B_{ext} decreases.Comment: 5 pages, 4 figures (jpg
Canonical representation for electrons and its application to the Hubbard model
A new representation for electrons is introduced, in which the electron
operators are written in terms of a spinless fermion and the Pauli operators.
This representation is canonical, invertible and constraint-free. Importantly,
it simplifies the Hubbard interaction. On a bipartite lattice, the Hubbard
model is reduced to a form in which the exchange interaction emerges simply by
decoupling the Pauli subsystem from the spinless fermion bath. This exchange
correctly reproduces the large superexchange. Also derived, for
, is the Hamiltonian to study Nagaoka ferromagnetism. In this
representation, the infinite- Hubbard problem becomes elegant and easier to
handle. Interestingly, the ferromagnetism in Hubbard model is found to be
related to the gauge invariance of the spinless fermions. Generalization of
this representation for the multicomponent fermions, a new representation for
bosons, the notion of a `soft-core' fermion, and some interesting unitary
transformations are introduced and discussed in the appendices.Comment: 10+ pages, 3 Figure
Anomalous dynamics in two- and three- dimensional Heisenberg-Mattis spin glasses
We investigate the spectral and localization properties of unmagnetized
Heisenberg-Mattis spin glasses, in space dimensionalities and 3, at T=0.
We use numerical transfer-matrix methods combined with finite-size scaling to
calculate Lyapunov exponents, and eigenvalue-counting theorems, coupled with
Gaussian elimination algorithms, to evaluate densities of states. In we
find that all states are localized, with the localization length diverging as
, as energy . Logarithmic corrections to density of
states behave in accordance with theoretical predictions. In the
density-of-states dependence on energy is the same as for spin waves in pure
antiferromagnets, again in agreement with theoretical predictions, though the
corresponding amplitudes differ.Comment: RevTeX4, 9 pages, 9 .eps figure
Dynamics and Control of a Quasi-1D Spin System
We study experimentally a system comprised of linear chains of spin-1/2
nuclei that provides a test-bed for multi-body dynamics and quantum information
processing. This system is a paradigm for a new class of quantum information
devices that can perform particular tasks even without universal control of the
whole quantum system. We investigate the extent of control achievable on the
system with current experimental apparatus and methods to gain information on
the system state, when full tomography is not possible and in any case highly
inefficient
Wigner Molecules in Nanostructures
The one-- and two-- particle densities of up to four interacting electrons
with spin, confined within a quasi one--dimensional ``quantum dot'' are
calculated by numerical diagonalization. The transition from a dense
homogeneous charge distribution to a dilute localized Wigner--type electron
arrangement is investigated. The influence of the long range part of the
Coulomb interaction is studied. When the interaction is exponentially cut off
the ``crystallized'' Wigner molecule is destroyed in favor of an inhomogeneous
charge distribution similar to a charge density wave .Comment: 10 pages (excl. Figures), Figures available on request LaTe
Relationship between long time scales and the static free-energy in the Hopfield model
The Glauber dynamics of the Hopfield model at low storage level is
considered. We analytically derive the spectrum of relaxation times for large
system sizes. The longest time scales are gathered in families, each family
being in one to one correspondence with a stationary (not necessarily stable)
point of the static mean-field free-energy. Inside a family, the time scales
are given by the reciprocals (of the absolute values) of the eigenvalues of the
free-energy Hessian matrix.Comment: 5 pages RevTex file, accepted for publication in J.Phys.
Folding of the Triangular Lattice in the FCC Lattice with Quenched Random Spontaneous Curvature
We study the folding of the regular two-dimensional triangular lattice
embedded in the regular three-dimensional Face Centered Cubic lattice, in the
presence of quenched random spontaneous curvature. We consider two types of
quenched randomness: (1) a ``physical'' randomness arising from a prior random
folding of the lattice, creating a prefered spontaneous curvature on the bonds;
(2) a simple randomness where the spontaneous curvature is chosen at random
independently on each bond. We study the folding transitions of the two models
within the hexagon approximation of the Cluster Variation Method. Depending on
the type of randomness, the system shows different behaviors. We finally
discuss a Hopfield-like model as an extension of the physical randomness
problem to account for the case where several different configurations are
stored in the prior pre-folding process.Comment: 12 pages, Tex (harvmac.tex), 4 figures. J.Phys.A (in press
Spin-spin correlators in Majorana representation
In the Majorana representation of a spin 1/2 we find an identity which
relates spin-spin correlators to one-particle fermionic correlators. This
should be contrasted with the straightforward approach in which two-particle
(four-fermion) correlators need to be calculated. We discuss applications to
the analysis of the dynamics of a spin coupled to a dissipative environment and
of a quantum detector performing a continuous measurement of a qubit's state
Magnetism in Closed-shell Quantum Dots: Emergence of Magnetic Bipolarons
Similar to atoms and nuclei, semiconductor quantum dots exhibit formation of
shells. Predictions of magnetic behavior of the dots are often based on the
shell occupancies. Thus, closed-shell quantum dots are assumed to be inherently
nonmagnetic. Here, we propose a possibility of magnetism in such dots doped
with magnetic impurities. On the example of the system of two interacting
fermions, the simplest embodiment of the closed-shell structure, we demonstrate
the emergence of a novel broken-symmetry ground state that is neither
spin-singlet nor spin-triplet. We propose experimental tests of our predictions
and the magnetic-dot structures to perform them.Comment: 4 pages, 4 figures;
http://link.aps.org/doi/10.1103/PhysRevLett.106.177201; minor change
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