SCHEDULE: NOV 12-18, 2011

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Unitary Qubit Lattice Simulations of Multiscale Phenomena in Quantum Turbulence

SESSION: Applications

EVENT TYPE: Paper

TIME: 4:00PM - 4:30PM

AUTHOR(S):George Vahala, Min Soe, Bo Zhang, Jeffrey Yepez, Linda Vahala, Jonathan Carter, Sean Ziegeler

ROOM:TCC 304

ABSTRACT:
Qubit unitary mesoscopic lattice algorithms, that scale perfectly to the 216K cores tested, are used to simulate multiscale physics in quantum/classical turbulence. Isosurfaces of quantum entangled vortices on grids up to 6120^3 are analyzed in real-time during the simulation run. Using just 2 qubits per lattice site and an interleaved unitary set of collision-stream-rotation operators, one recovers the Gross-Pitaevskii equation at the moments level and thus the evolution of the T = 0 BEC ground state wave function. A more complex set of interleaved unitary operators on these 2 qubits yields also the T > 0 Bogoliubov modes. Even though the Gross-Pitaesvkii is Hamiltonian, the energy spectrum reveals complex multiscale physics from classical to quantum scales due to the achievable high grid resolution simulation. In some parameter regimes short Poincare recurrence occurs - even for random phase initial conditions with uniform density.

Chair/Author Details:

George Vahala - William & Mary

Min Soe - Rogers State University

Bo Zhang - William and Mary

Jeffrey Yepez - AFRL

Linda Vahala - Old Dominion

Jonathan Carter - Lawrence Berkeley National Laboratory

Sean Ziegeler - HPTi

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The full paper can be found in the ACM Digital Library