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Accession Number ADA578216
Title Mesoscopi Detailed Balance Algorithms for Quantum and Classical Turbulence.
Publication Date Feb 2013
Media Count 28p
Personal Author G. Vahala
Abstract Qubit unitary algorithms are a novel computational scheme for the solution of nonlinear problems of physics. Not only are they ideally parallelized on classical supercomputers but will be immediately applicable to quantum computers when eventually they become available. Specific sequences of collide-stream-rotate unitary operators will yields, in the field theoretic limit, representations of the one-dimensional Magnetohydrodynamics-Burgers equations, KdV and nonlinear Schrodinger equations. Generalizing to three dimensions, quantum turbulence is examined for the (scalar) Gross-Pitaevskii equation. Initial conditions were determined under which the Poincare recurrence of the Hamiltonian states were unexpectedly short. Triple energy cascade regions were determined for the compressible kinetic energy. The unitary algorithm ia readily extended to spinor Bose-Einstein condensate. The code has shown ideal parallelization to over 275 000 cores, permitting production runs on grids far exceeding those achievable by standard computational algorithms.
Keywords Algorithms
Bose einstein condensates
Compressible flow
Hamiltonian functions
Kinetic energy
Nonlinear differential equations
Quantum theory
Schrodinger equation

Source Agency Non Paid ADAS
NTIS Subject Category 72B - Algebra, Analysis, Geometry, & Mathematical Logic
Corporate Author College of William and Mary, Williamsburg, VA.
Document Type Technical report
Title Note Final rept. 1 Jul 2008-31 Dec 2012.
NTIS Issue Number 1321
Contract Number FA9550-09-1-0607

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