O ct 2 00 5 Fourth-Order Algorithms for Solving the Imaginary Time Gross-Pitaevskii Equation in a Rotating Anisotropic Trap

@inproceedings{Chin2008OC2,
  title={O ct 2 00 5 Fourth-Order Algorithms for Solving the Imaginary Time Gross-Pitaevskii Equation in a Rotating Anisotropic Trap},
  author={Siu A. Chin and E. Krotscheck},
  year={2008}
}
By implementing the exact density matrix for the rotating anisotropic harmonic trap, we derive a class of very fast and accurate fourth order algorithms for evolving the Gross-Pitaevskii equation in imaginary time. Such fourth order algorithms are possible only with the use of forward, positive time step factorization schemes. These fourth order algorithms… CONTINUE READING