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heom-gpu.rst

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GPU implementation of the Hierarchical Equations of Motion

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The Hierarchical Equations of Motion (HEOM) method is a non-perturbative approach to simulate the evolution of the density matrix of dissipative quantum systems. The underlying equations are a system of coupled ODEs which can be run on a GPU. This will allow the study of larger systems as discussed in1. The goal of this project would be to extend QuTiP's HEOM method2 and implement it on a GPU.

Since the method is related to simulating large, coupled ODEs, it can also be quite general and extended to other solvers.

Expected outcomes

  • A version of HEOM which runs on a GPU.
  • Performance comparison with the CPU version.
  • Implement dynamic scaling.

Skills

  • Git, python and familiarity with the Python scientific computing stack
  • CUDA and OpenCL knowledge

Difficulty

  • Hard

Mentors

References

  1. https://pubs.acs.org/doi/abs/10.1021/ct200126d?src=recsys&journalCode=jctcce↩

  2. https://arxiv.org/abs/2010.10806↩