4.7 Article

Spin-1 spin-orbit- and Rabi-coupled Bose-Einstein condensate solver

期刊

COMPUTER PHYSICS COMMUNICATIONS
卷 259, 期 -, 页码 -

出版社

ELSEVIER
DOI: 10.1016/j.cpc.2020.107657

关键词

Spinor Bose-Einstein condensate; Spin-orbit coupling; Gross-Pitaevskii equation; Split-step Crank-Nicolson scheme; FORTRAN programs; Partial differential equation

资金

  1. University Grants Commission (UGC), India
  2. Institute of Physics Belgrade through the Ministry of Education, Science, and Technological Development of the Republic of Serbia
  3. Council of Scientific and Industrial Research (CSIR), India [03(1422)/18/EMR-II]
  4. Science and Engineering Research Board (SERB), India [CRG/2019/004059]
  5. CNPq (Brazil) [301324/2019-0]
  6. ICTP-SAIFR-FAPESP (Brazil) [2016/01343-7]

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This paper presents OpenMP versions of FORTRAN programs for solving the Gross-Pitaevskii equation for a harmonically trapped three-component spin-1 spinor Bose-Einstein condensate. The programs include different forms of spin-orbit and Rabi couplings in 1D and 2D spatial dimensions, utilizing split-step Crank-Nicolson discretization for imaginary- and real-time propagation. The programs can calculate stationary states, BEC dynamics, and various physical quantities, with outputs such as wave function, energy, and density profiles.
We present OpenMP versions of FORTRAN programs for solving the Gross-Pitaevskii equation for a harmonically trapped three-component spin-1 spinor Bose-Einstein condensate (BEC) in one (1D) and two (2D) spatial dimensions with or without spin-orbit (SO) and Rabi couplings. Several different forms of SO coupling are included in the programs. We use the split-step Crank-Nicolson discretization for imaginary- and real-time propagation to calculate stationary states and BEC dynamics, respectively. The imaginary-time propagation programs calculate the lowest-energy stationary state. The real-time propagation programs can be used to study the dynamics. The simulation input parameters are provided at the beginning of each program. The programs propagate the condensate wave function and calculate several relevant physical quantities. Outputs of the programs include the wave function, energy, root-mean-square sizes, different density profiles (linear density for the 1D program, linear and surface densities for the 2D program). The imaginary- or real-time propagation can start with an analytic wave function or a pre-calculated numerical wave function. The imaginary-time propagation usually starts with an analytic wave function, while the real-time propagation is often initiated with the previously calculated converged imaginary-time wave function. (C) 2020 Elsevier B.V. All rights reserved.

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