Gross-Pitaevskii

Fortran programs for the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap. These programs are designed to solve the time-dependent Gross-Pitaevskii nonlinear partial differential equation in one, two or three space dimensions with a harmonic, circularly-symmetric, spherically-symmetric, axially-symmetric or anisotropic trap. The Gross-Pitaevskii equation describes the properties of a dilute trapped Bose-Einstein condensate. Solution method: The time-dependent Gross-Pitaevskii equation is solved by the split-step Crank-Nicholson method by discretizing in space and time. The discretized equation is then solved by propagation, in either imaginary or real time, over small time steps. The method yields the solution of stationary and/or non-stationary problems.


References in zbMATH (referenced in 37 articles )

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  1. Debnath, Argha; Khan, Ayan; Basu, Saurabh: Dropleton-soliton crossover mediated via trap modulation (2022)
  2. Ghosh Dastidar, Madhura; Das, Subrata; Mukherjee, Koushik; Majumder, Sonjoy: Pattern formation and evidence of quantum turbulence in binary Bose-Einstein condensates interacting with a pair of Laguerre-Gaussian laser beams (2022)
  3. Huynh, Toan T.; Nguyen, Quan M.: Fast soliton interactions in cubic-quintic nonlinear media with weak dissipation (2021)
  4. Hua, Wei; Liu, Shi Xing; Zhang, Teng: Interferences and solitons in the Bose-Einstein condensates with two- and three-body interactions (2020)
  5. Paredes, Angel; Olivieri, David N.; Michinel, Humberto: From optics to dark matter: a review on nonlinear Schrödinger-Poisson systems (2020)
  6. Adhikari, S. K.: Phase-separated vortex-lattice in a rotating binary Bose-Einstein condensate (2019)
  7. Ramakrishnan, Tamilthiruvalluvar; Subramaniyan, Sabari: Stabilization of trapless Bose-Einstein condensates without any management (2019)
  8. Wang, Ji-Guo; Wang, Wei; Yang, Shi-Jie: Classifying the ground-state phases of spin-orbit coupled spin-2 Bose-Einstein condensate in momentum space (2019)
  9. Gawryluk, K.; Karpiuk, T.; Gajda, M.; Rzążewski, K.; Brewczyk, M.: Unified way for computing dynamics of Bose-Einstein condensates and degenerate Fermi gases (2018)
  10. Kuang, Yang; Hu, Guanghui: An adaptive FEM with ITP approach for steady Schrödinger equation (2018)
  11. Liao, Feng; Zhang, Luming: Optimal error estimates of explicit finite difference schemes for the coupled Gross-Pitaevskii equations (2018)
  12. Chiquillo, Emerson: Harmonically trapped attractive and repulsive spin-orbit and Rabi coupled Bose-Einstein condensates (2017)
  13. 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
  14. Vinayagam, P. S.; Radha, R.; Bhuvaneswari, S.; Ravisankar, R.; Muruganandam, P.: Bright soliton dynamics in spin orbit-Rabi coupled Bose-Einstein condensates (2017)
  15. 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)
  16. Marojević, Želimir; Göklü, Ertan; Lämmerzahl, Claus: ATUS-PRO: a FEM-based solver for the time-dependent and stationary Gross-Pitaevskii equation (2016)
  17. Vergez, Guillaume; Danaila, Ionut; Auliac, Sylvain; Hecht, Frédéric: A finite-element toolbox for the stationary Gross-Pitaevskii equation with rotation (2016)
  18. 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)
  19. Antoine, Xavier; Duboscq, Romain: Modeling and computation of Bose-Einstein condensates: stationary states, nucleation, dynamics, stochasticity (2015)
  20. 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)

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