384 research outputs found
Looping on the Bloch sphere: Oscillatory effects in dephasing of qubits subject to broad-spectrum noise
For many implementations of quantum computing, 1/f and other types of
broad-spectrum noise are an important source of decoherence. An important step
forward would be the ability to back out the characteristics of this noise from
qubit measurements and to see if it leads to new physical effects. For certain
types of qubits, the working point of the qubit can be varied. Using a new
mathematical method that is suited to treat all working points, we present
theoretical results that show how this degree of freedom can be used to extract
noise parameters and to predict a new effect: noise-induced looping on the
Bloch sphere. We analyze data on superconducting qubits to show that they are
very near the parameter regime where this looping should be observed.Comment: 4 pages, 3 figure
Electronic inhomogeneity at magnetic domain walls in strongly-correlated systems
We show that nano-scale variations of the order parameter in
strongly-correlated systems can induce local spatial regions such as domain
walls that exhibit electronic properties representative of a different, but
nearby, part of the phase diagram. This is done by means of a Landau-Ginzburg
analysis of a metallic ferromagnetic system near an antiferromagnetic phase
boundary. The strong spin gradients at a wall between domains of different spin
orientation drive the formation of a new type of domain wall, where the central
core is an insulating antiferromagnet, and connects two metallic ferromagnetic
domains. We calculate the charge transport properties of this wall, and find
that its resistance is large enough to account for recent experimental results
in colossal magnetoresistance materials. The technological implications of this
finding for switchable magnetic media are discussed.Comment: Version submitted to Physical Review Letters, except for minor
revisions to reference
Spin-Valley Kondo Effect in Multi-electron Silicon Quantum Dots
We study the spin-valley Kondo effect of a silicon quantum dot occupied by electrons, with up to four. We show that the Kondo
resonance appears in the Coulomb blockade regimes, but not
in the one, in contrast to the spin-1/2 Kondo effect, which
only occurs at odd. Assuming large orbital level spacings, the
energy states of the dot can be simply characterized by fourfold spin-valley
degrees of freedom. The density of states (DOS) is obtained as a function of
temperature and applied magnetic field using a finite-U equation-of-motion
approach. The structure in the DOS can be detected in transport experiments.
The Kondo resonance is split by the Zeeman splitting and valley splitting for
double- and triple-electron Si dots, in a similar fashion to single-electron
ones. The peak structure and splitting patterns are much richer for the
spin-valley Kondo effect than for the pure spin Kondo effect.Comment: 8 pages, 4 figures, in PRB format. This paper is a sequel to the
paper published in Phys. Rev. B 75, 195345 (2007
Phase diagram of UPt in the model
The phase diagram of the unconventional superconductor UPt is explained
under the long-standing hypothesis that the pair wavefunction belongs to the
representation of the point group. The main objection to this theory
has been that it disagrees with the experimental phase diagram when a field is
applied along the c-axis. By a careful analysis of the free energy this
objection is shown to be incorrect. This singlet theory also explains the
unusual anisotropy in the upper critical field curves, often thought to
indicate a triplet pair function.Comment: 11 pages, Revtex, 2 figures (uuencoded, gzip'ed Postscript
Suppression of Decoherence and Disentanglement by the Exchange Interaction
Entangled qubit pairs can serve as a quantum memory or as a resource for
quantum communication. The utility of such pairs is measured by how long they
take to disentangle or decohere. To answer the question of whether qubit-qubit
interactions can prolong entanglement, we calculate the dissipative dynamics of
a pair of qubits coupled via the exchange interaction in the presence of random
telegraph noise and noise. We show that for maximally entangled (Bell)
states, the exchange interaction generally suppresses decoherence and
disentanglement. This suppression is more apparent for random telegraph noise
if the noise is non-Markovian, whereas for noise the exchange interaction
should be comparable in magnitude to strongest noise source. The entangled
singlet-triplet superposition state of 2 qubits ( Bell state) can
be protected by the interaction, while for the triplet-triplet state
( Bell state), it is less effective. Thus the former is more
suitable for encoding quantum information
Exact solution of a model of qubit dephasing due to telegraph noise
We present a general and exact formalism for finding the evolution of a
quantum system subject to external telegraph noise. The various qubit
decoherence rates are determined by the eigenvalues of a transfer matrix. The
formalism can be applied to a qubit subject to an arbitrary combination of
dephasing and relaxational telegraph noise, in contrast to existing
non-perturbative methods that treat only one or the other of these limits. We
present 3 applications: 1) We obtain the full qubit dynamics on time scales
short compared with the enviromental correlation times. In the strong coupling
cases this reveals unexpected oscillations and induced magnetization
components; 2) We find in strong coupling case strong violations of the widely
used relation 1/T = 1/2T + 1/T, which is a result of
perturbation theory; 3) We discuss the effects of bang-bang and spin-echo
controls of the qubit dynamics in general settings of the telegraph noises.
%The result shows that these methods are not very effective in %reducing
decoherence arising from a single telegraph noise. Finally, we discuss the
extension of the method to the cases of many telegraph noise sources and
multiple qubits. The method still works when white noise is also present.Comment: 7 pages, 6 figures, revised and extende
Energy Level Statistics of Quantum Dots
We investigate the charging energy level statistics of disordered interacting
electrons in quantum dots by numerical calculations using the Hartree
approximation. The aim is to obtain a global picture of the statistics as a
function of disorder and interaction strengths. We find Poisson statistics at
very strong disorder, Wigner- Dyson statistics for weak disorder and
interactions, and a Gaussian intermediate regime. These regimes are as expected
from previous studies and fundamental considerations, but we also find
interesting and rather broad crossover regimes. In particular, intermediate
between the Gaussian and Poisson regimes we find a two-sided exponential
distribution for the energy level spacings. In comparing with experiment, we
find that this distribution may be realized in some quantum dots.Comment: 21 pages 10 figure
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