| Full text | |
| Author(s): |
Kumar, R. Kishor
[1]
;
Young-S, Luis E.
[2]
;
Vudragovic, Dusan
[3]
;
Balaz, Antun
[3]
;
Muruganandam, Paulsamy
[4]
;
Adhikari, S. K.
[2]
Total Authors: 6
|
| Affiliation: | [1] Univ Sao Paulo, Inst Fis, BR-05508090 Sao Paulo, SP - Brazil
[2] UNESP Univ Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo - Brazil
[3] Univ Belgrade, Inst Phys Belgrade, Comp Sci Lab, Belgrade 11080 - Serbia
[4] Bharathidasan Univ, Sch Phys, Tiruchchirappalli 620024, Tamil Nadu - India
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | COMPUTER PHYSICS COMMUNICATIONS; v. 195, p. 117-128, OCT 2015. |
| Web of Science Citations: | 64 |
| Abstract | |
Many of the static and dynamic properties of an atomic Bose-Einstein condensate (BEC) are usually studied by solving the mean-field Gross-Pitaevskii (GP) equation, which is a nonlinear partial differential equation for short-range atomic interaction. More recently, BEC of atoms with long-range dipolar atomic interaction are used in theoretical and experimental studies. For dipolar atomic interaction, the GP equation is a partial integro-differential equation, requiring complex algorithm for its numerical solution. Here we present numerical algorithms for both stationary and non-stationary solutions of the full three-dimensional (3D) GP equation for a dipolar BEC, including the contact interaction. We also consider the simplified one- (1D) and two-dimensional (2D) GP equations satisfied by cigar- and disk-shaped dipolar BECs. We employ the split-step Crank-Nicolson method with real- and imaginary-time propagations, respectively, for the numerical solution of the GP equation for dynamic and static properties of a dipolar BEC. The atoms are considered to be polarized along the z axis and we consider ten different cases, e.g., stationary and non-stationary solutions of the GP equation for a dipolar BEC in 1D (along x and z axes), 2D (in x y and x z planes), and 3D, and we provide working codes in Fortran 90/95 and C for these ten cases (twenty programs in all). We present numerical results for energy, chemical potential, root-mean-square sizes and density of the dipolar BECs and, where available, compare them with results of other authors and of variational and Thomas Fermi approximations. Program summary Program title: (i) imag1dZ, (ii) imag1dX, (iii) imag2dXY, (iv) imag2dXZ, (v) imag3d, (vi) real1dZ, (vii) real1dX, (viii) real2dXY, (ix) real2dXZ, (x) real3d Catalogue identifier: AEWL\_v1\_0 Program summary URL: http://cpc.cs.qub.ac.uk/summaries/AEWL\_v1\_0.html Program obtainable from: CPC Program Library, Queens University, Belfast, N. Ireland Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html No. of lines in distributed program, including test data, etc.: 111384 No. of bytes in distributed program, including test data, etc.: 604013 Distribution format: tar.gz (C) 2015 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 12/00451-0 - Study of properties of Bose-Einstein Condensate: dipolar atoms and condensate of fermions |
| Grantee: | Sadhan Kumar Adhikari |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 12/21871-7 - Study on properties of dipolar Bose-Einstein Condensates |
| Grantee: | Luis Ever Young Silva |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |