GP-SCL

C programs for solving the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap. We present C programming language versions of earlier published Fortran programs [the last two authors, ibid. 180, No. 10, 1888--1912 (2009; Zbl 06675063)] for calculating both stationary and non-stationary solutions of the time-dependent Gross-Pitaevskii (GP) equation. The GP equation describes the properties of dilute Bose-Einstein condensates at ultra-cold temperatures. C versions of programs use the same algorithms as the Fortran ones, involving real- and imaginary-time propagation based on a split-step Crank-Nicolson method. In a one-space-variable form of the GP equation, we consider the one-dimensional, two-dimensional, circularly-symmetric, and the three-dimensional spherically-symmetric harmonic-oscillator traps. In the two-space-variable form, we consider the GP equation in two-dimensional anisotropic and three-dimensional axially-symmetric traps. The fully-anisotropic three-dimensional GP equation is also considered. In addition to these twelve programs, for six algorithms that involve two and three space variables, we have also developed threaded (OpenMP parallelized) programs, which allow numerical simulations to use all available CPU cores on a computer. All 18 programs are optimized and accompanied by makefiles for several popular C compilers. We present typical results for scalability of threaded codes and demonstrate almost linear speedup obtained with the new programs, allowing a decrease in execution times by an order of magnitude on modern multi-core computers.


References in zbMATH (referenced in 25 articles )

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  1. Huynh, Toan T.; Nguyen, Quan M.: Fast soliton interactions in cubic-quintic nonlinear media with weak dissipation (2021)
  2. Shukla, Khemraj; Jagtap, Ameya D.; Karniadakis, George Em: Parallel physics-informed neural networks via domain decomposition (2021)
  3. Paredes, Angel; Olivieri, David N.; Michinel, Humberto: From optics to dark matter: a review on nonlinear Schrödinger-Poisson systems (2020)
  4. Xu, Xiao: OpenMP parallel implementation of stiffly stable time-stepping projection/GMRES(ILU(0)) implicit simulation of incompressible fluid flows on shared-memory, multicore architecture (2019)
  5. Gawryluk, K.; Karpiuk, T.; Gajda, M.; Rzążewski, K.; Brewczyk, M.: Unified way for computing dynamics of Bose-Einstein condensates and degenerate Fermi gases (2018)
  6. Kuang, Yang; Hu, Guanghui: An adaptive FEM with ITP approach for steady Schrödinger equation (2018)
  7. Liao, Feng; Zhang, Luming: Optimal error estimates of explicit finite difference schemes for the coupled Gross-Pitaevskii equations (2018)
  8. Henning, Patrick; Peterseim, Daniel: Crank-Nicolson Galerkin approximations to nonlinear Schrödinger equations with rough potentials (2017)
  9. Luis E. Young-S.; Paulsamy Muruganandam; Sadhan K. Adhikari; Vladimir Loncar; Dusan Vudragovic; Antun Balaz: OpenMP GNU and Intel Fortran programs for solving the time-dependent Gross-Pitaevskii equation (2017) arXiv
  10. Vinayagam, P. S.; Radha, R.; Bhuvaneswari, S.; Ravisankar, R.; Muruganandam, P.: Bright soliton dynamics in spin orbit-Rabi coupled Bose-Einstein condensates (2017)
  11. Young-S., Luis E.; Muruganandam, Paulsamy; Adhikari, Sadhan K.; Lončar, Vladimir; Vudragović, Dušan; Balaž, Antun: OpenMP GNU and intel Fortran programs for solving the time-dependent Gross-Pitaevskii equation (2017)
  12. Lončar, Vladimir; Balaž, Antun; Bogojević, Aleksandar; Škrbić, Srdjan; Muruganandam, Paulsamy; Adhikari, Sadhan K.: CUDA programs for solving the time-dependent dipolar Gross-Pitaevskii equation in an anisotropic trap (2016)
  13. Lončar, Vladimir; Young-S., Luis E.; Škrbić, Srdjan; Muruganandam, Paulsamy; Adhikari, Sadhan K.; Balaž, Antun: OpenMP, OpenMP/MPI, and CUDA/MPI C programs for solving the time-dependent dipolar Gross-Pitaevskii equation (2016)
  14. Marojević, Želimir; Göklü, Ertan; Lämmerzahl, Claus: ATUS-PRO: a FEM-based solver for the time-dependent and stationary Gross-Pitaevskii equation (2016)
  15. Satarić, Bogdan; Slavnić, Vladimir; Belić, Aleksandar; Balaž, Antun; Muruganandam, Paulsamy; Adhikari, Sadhan K.: Hybrid OpenMP/MPI programs for solving the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap (2016)
  16. Young-S., Luis E.; Vudragović, Dušan; Muruganandam, Paulsamy; Adhikari, Sadhan K.; Balaž, Antun: OpenMP Fortran and C programs for solving the time-dependent Gross-Pitaevskii equation in an anisotropic trap (2016)
  17. Antoine, Xavier; Duboscq, Romain: Modeling and computation of Bose-Einstein condensates: stationary states, nucleation, dynamics, stochasticity (2015)
  18. Kishor Kumar, R.; Young-S., Luis E.; Vudragović, Dušan; Balaž, Antun; Muruganandam, Paulsamy; Adhikari, S. K.: Fortran and C programs for the time-dependent dipolar Gross-Pitaevskii equation in an anisotropic trap (2015)
  19. Moxley, Frederick Ira; Byrnes, Tim; Ma, Baoling; Yan, Yun; Dai, Weizhong: A G-FDTD scheme for solving multi-dimensional open dissipative Gross-Pitaevskii equations (2015)
  20. Antoine, Xavier; Duboscq, Romain: GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. I: Computation of stationary solutions (2014)

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