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LANS Informal Seminar: Cheng-Chieng Chen
July 30, 2014 @ 15:00 CDT
Seminar Title: Quantum spin simulation with large-scale matrix diagonalization
Speaker: Cheng-Chieng Chen, Aneesur Rahman Postdoctoral Fellow, APS, Argonne National Laboratory
Date/Time: 2014-07-30 15:00
Location: Building 240 Room 1404-1405
Description:
In this talk I will introduce quantum spin models and discuss the use of exact diagonalization technique to study their properties. The numerical methods applied to sparse matrices perform iterative diagonalization using Krylov eigensolvers. I will also discuss critical aspects of constructing the matrix in a reduced basis by considering lattice symmetries and an accelerated convergence in the diagonalization with additional sub-block diagonalization. The final part of the talk will be devoted to the discussion of solving problems with matrix sizes over a few hundred billion, which is relevant in the search of novel ground states on the Kagome lattice and other frustrated spin systems.