Mesoscopi Detailed Balance Algorithms for Quantum and Classical Turbulence
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 2013
- Accession Number
- ADA578216
Entities
People
- George Vahala
Organizations
- College of William & Mary