3,239 research outputs found
Fast partial decoherence of a superconducting flux qubit in a spin bath
The superconducting flux qubit has two quantum states with opposite magnetic
flux. Environment of nuclear spins can find out the direction of the magnetic
flux after a decoherence time inversely proportional to the magnitude
of the flux and the square root of the number of spins. When the Hamiltonian of
the qubit drives fast coherent Rabi oscillations between the states with
opposite flux, then flux direction is flipped at a constant rate and
the decoherence time is much longer than .
However, on closer inspection decoherence actually takes place on two
timescales. The long time is a time of full decoherence but a part of
quantum coherence is lost already after the short time . This fast
partial decoherence biases coherent flux oscillations towards the initial flux
direction and it can affect performance of the superconducting devices as
qubits.Comment: 7 page
Supersymmetric Yang-Mills quantum mechanics in various dimensions
Recent analytical and numerical solutions of the above systems are reviewed.
Discussed results include: a) exact construction of the supersymmetric vacua in
two space-time dimensions, and b) precise numerical calculations of the
coexisting continuous and discrete spectra in the four-dimensional system,
together with the identification of dynamical supermultiplets and SUSY vacua.
New construction of the gluinoless SO(9) singlet state, which is vastly
different from the empty state, in the ten-dimensional model is also briefly
summarized.Comment: Talk presented at the Eighth Workshop on Non-Perturbative QCD, Paris,
June 2004; 8 pages, 4 figure
Towards uniqueness of degenerate axially symmetric Killing horizon
We examine the linearized equations around extremal Kerr horizon and give
some arguments towards stability of the horizon with respect to generic
(non-symmetric) linear perturbation of near horizon geometry.Comment: 17 page
On Pairs of Difference Operators Satisfying: [P,Q] = Id
Different finite difference replacements for the derivative are analyzed in
the context of the Heisenberg commutation relation. The type of the finite
difference operator is shown to be tied to whether one can naturally consider
and to be self-adjoint and skew self-adjoint or whether they have to be
viewed as creation and annihilation operators. The first class, generalizing
the central difference scheme, is shown to give unitary equivalent
representations. For the second case we construct a large class of examples,
generalizing previously known difference operator realizations of .Comment: 32 pages, plain Te
Fully self-consistent calculations of nuclear Schiff moments
We calculate the Schiff moments of the nuclei 199Hg and 211Ra in completely
self-consistent odd-nucleus mean-field theory by modifying the
Hartree-Fock-Bogoliubov code HFODD. We allow for arbitrary shape deformation,
and include the effects of nucleon dipole moments alongside those of a
CP-violating pion-exchange nucleon-nucleon interaction. The results for 199Hg
differ significantly from those of previous calculations when the CP-violating
interaction is of isovector character.Comment: 7 pages, 2 figure
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