Seminar Details:

LANS Informal Seminar
"Quantum spin simulation with large-scale matrix diagonalization"

DATE: July 30, 2014

TIME: 15:00:00 - 16:00:00
SPEAKER: Cheng-Chieng Chen, Aneesur Rahman Postdoctoral Fellow, APS, Argonne National Laboratory
LOCATION: Building 240 Room 1404-1405, Argonne National Laboratory

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.


 

Please send questions or suggestions to Debojyoti Ghosh: ghosh at mcs dot anl dot gov.