Abstract
We demonstrate the effectiveness of graphics processing units (GPU) in computing the time evolution of a many-body quantum state. We study the Hubbard model with exact diagonalization. We discretize the time into small steps and expand the time evolution operator into a Taylor series. An algorithm for calculating the time evolution on a GPU is given and tested on a 1D lattice to observe spin-charge separation.
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Siro, T., Harju, A. (2013). Time Propagation of Many-Body Quantum States on Graphics Processing Units. In: Manninen, P., Öster, P. (eds) Applied Parallel and Scientific Computing. PARA 2012. Lecture Notes in Computer Science, vol 7782. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36803-5_10
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DOI: https://doi.org/10.1007/978-3-642-36803-5_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-36802-8
Online ISBN: 978-3-642-36803-5
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