Iterative solutions to the steady-state density matrix for optomechanical systems.

@article{Nation2015IterativeST,
  title={Iterative solutions to the steady-state density matrix for optomechanical systems.},
  author={P. Nation and J. R. Johansson and M. Blencowe and A. Rimberg},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2015},
  volume={91 1},
  pages={
          013307
        }
}
  • P. Nation, J. R. Johansson, +1 author A. Rimberg
  • Published 2015
  • Physics, Medicine, Mathematics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • We present a sparse matrix permutation from graph theory that gives stable incomplete lower-upper preconditioners necessary for iterative solutions to the steady-state density matrix for quantum optomechanical systems. This reordering is efficient, adding little overhead to the computation, and results in a marked reduction in both memory and runtime requirements compared to other solution methods, with performance gains increasing with system size. Either of these benchmarks can be tuned via… CONTINUE READING

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