3,199 research outputs found
Breakdown of large-N quenched reduction in SU(N) lattice gauge theories
We study the validity of the large-N equivalence between four-dimensional
SU(N) lattice gauge theory and its momentum quenched version--the Quenched
Eguchi-Kawai (QEK) model. We find that the assumptions needed for the proofs of
equivalence do not automatically follow from the quenching prescription. We use
weak-coupling arguments to show that large-N equivalence is in fact likely to
break down in the QEK model, and that this is due to dynamically generated
correlations between different Euclidean components of the gauge fields. We
then use Monte-Carlo simulations at intermediate couplings with 20 <= N <= 200
to provide strong evidence for the presence of these correlations and for the
consequent breakdown of reduction. This evidence includes a large discrepancy
between the transition coupling of the "bulk" transition in lattice gauge
theories and the coupling at which the QEK model goes through a strongly
first-order transition. To accurately measure this discrepancy we adapt the
recently introduced Wang-Landau algorithm to gauge theories.Comment: 51 pages, 16 figures, Published verion. Historical inaccuracies in
the review of the quenched Eguchi-Kawai model are corrected, discussion on
reduction at strong-coupling added, references updated, typos corrected. No
changes to results or conclusion
Efficient multitasking of Choleski matrix factorization on CRAY supercomputers
A Choleski method is described and used to solve linear systems of equations that arise in large scale structural analysis. The method uses a novel variable-band storage scheme and is structured to exploit fast local memory caches while minimizing data access delays between main memory and vector registers. Several parallel implementations of this method are described for the CRAY-2 and CRAY Y-MP computers demonstrating the use of microtasking and autotasking directives. A portable parallel language, FORCE, is used for comparison with the microtasked and autotasked implementations. Results are presented comparing the matrix factorization times for three representative structural analysis problems from runs made in both dedicated and multi-user modes on both computers. CPU and wall clock timings are given for the parallel implementations and are compared to single processor timings of the same algorithm
Atomic and molecular phases through attosecond streaking
In attosecond streaking, an electron is released by a short xuv pulse into a
strong near infrared laser field. When the laser coupling between two states in
the target is weak relative to the detuning, the streaking technique, which
allows for a complete determination of the driving field, also gives an
accurate measurement of the relative phase of the atomic or molecular
ionization matrix elements from the two states through the interference from
the two channels. The interference may change the phase of the photoelectron
streaking signal within the envelope of the ir field, an effect to be accounted
for when reconstructing short pulses from the photoelectron signal and in
attosecond time-resolved measurements.Comment: 5 pages, 5 figure
Theory of Fast Quantum Control of Exciton Dynamics in Semiconductor Quantum Dots
Optical techniques for the quantum control of the dynamics of multiexciton
states in a semiconductor quantum dot are explored in theory. Composite
bichromatic phase-locked pulses are shown to reduce the time of elementary
quantum operations on excitons and biexcitons by an order of magnitude or more.
Analytic and numerical methods of designing the pulse sequences are
investigated. Fidelity of the operation is used to gauge its quality. A
modified Quantum Fourier Transform algorithm is constructed with only Rabi
rotations and is shown to reduce the number of operations. Application of the
designed pulses to the algorithm is tested by a numerical simulation.Comment: 11 pages,5 figure
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