Quantum lattice gas algorithm for quantum turbulence and vortex reconnection in the Gross-Pitaevskii equation

George Vahala; Jeffrey Yepez; Linda Vahala

doi:10.1117/12.777722

23 April 2008 Quantum lattice gas algorithm for quantum turbulence and vortex reconnection in the Gross-Pitaevskii equation

George Vahala, Jeffrey Yepez, Linda Vahala

Author Affiliations +

Proceedings Volume 6976, Quantum Information and Computation VI; 69760U (2008) https://doi.org/10.1117/12.777722
Event: SPIE Defense and Security Symposium, 2008, Orlando, Florida, United States

Abstract

The ground state wave function for a Bose Einstein condensate is well described by the Gross-Pitaevskii equation. A Type-II quantum algorithm is devised that is ideally parallelized even on a classical computer. Only 2 qubits are required per spatial node. With unitary local collisions, streaming of entangled states and a spatially inhomogeneous unitary gauge rotation one recovers the Gross-Pitaevskii equation. Quantum vortex reconnection is simulated - even without any viscosity or resistivity (which are needed in classical vortex reconnection).

Citation Download Citation

George Vahala, Jeffrey Yepez, and Linda Vahala "Quantum lattice gas algorithm for quantum turbulence and vortex reconnection in the Gross-Pitaevskii equation", Proc. SPIE 6976, Quantum Information and Computation VI, 69760U (23 April 2008); https://doi.org/10.1117/12.777722

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