Zobrazeno 1 - 10
of 44
pro vyhledávání: '"B.-W. Jeng"'
Publikováno v:
Scientific Reports, Vol 11, Iss 1, Pp 1-20 (2021)
Abstract We study the existence of nontrivial solution branches of three-coupled Gross–Pitaevskii equations (CGPEs), which are used as the mathematical model for rotating spin-1 Bose–Einstein condensates (BEC). The Lyapunov–Schmidt reduction is
Externí odkaz:
https://doaj.org/article/a5ad588deb394a70bf3dbbafb3ecffe4
Publikováno v:
Advances in Mathematical Physics, Vol 2022 (2022)
We study efficient continuation methods for computing the ground state solution of quasi-2D rotating dipolar Bose-Einstein condensates (BECs). First, the highly accurate spectral collocation method is used to discretize the governing Gross-Pitaevskii
Externí odkaz:
https://doaj.org/article/34e4ae921adb4576b409f5a78d79de21
Publikováno v:
Scientific Reports
Scientific Reports, Vol 11, Iss 1, Pp 1-20 (2021)
Scientific Reports, Vol 11, Iss 1, Pp 1-20 (2021)
We study the existence of nontrivial solution branches of three-coupled Gross–Pitaevskii equations (CGPEs), which are used as the mathematical model for rotating spin-1 Bose–Einstein condensates (BEC). The Lyapunov–Schmidt reduction is exploite
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc183fd4beb00fb875a840feb066015f
https://pubmed.ncbi.nlm.nih.gov/34815442
https://pubmed.ncbi.nlm.nih.gov/34815442
Publikováno v:
International Journal of Computer Mathematics. 95:898-919
We study linear stability analysis for spin-1 Bose–Einstein condensates (BEC). We show that all bounded solutions of this physical system are neutrally stable. In particular, all steady-state solut...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f02d69254f67ecd0960c0c6e9eef997a
https://doi.org/10.1080/00207160.2017.1297804
https://doi.org/10.1080/00207160.2017.1297804
Autor:
B.-W. Jeng, Sirilak Sriburadet
Publikováno v:
Journal of Computational and Applied Mathematics. 381:113019
We study the existence of nontrivial solution curves of the coupled Gross–Pitaevskii equations (CGPEs) in some neighborhoods of bifurcation points. The CGPEs are used as a mathematical model for boson–fermion mixtures (BFM). Linear stability anal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3877063c9fd071f082bee346b3937b9a
https://doi.org/10.1016/j.cam.2020.113019
https://doi.org/10.1016/j.cam.2020.113019
Publikováno v:
International Journal of Computer Mathematics. 92:850-871
We describe multi-parameter continuation methods combined with spectral collocation methods for computing numerical solutions of rotating two-component Bose–Einstein condensates (BECs), which are governed by the Gross–Pitaevskii equations (GPEs).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4345b7f6be6df9045a17f13db317beb0
https://doi.org/10.1080/00207160.2014.915959
https://doi.org/10.1080/00207160.2014.915959
Publikováno v:
Journal of Computational Physics. 256:713-727
We exploit the high accuracy of spectral collocation methods in the context of a two-level continuation scheme for computing ground state solutions of dipolar Bose-Einstein condensates (BEC), where the first kind Chebyshev polynomials and Fourier sin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2e9f870941c1c4881553003bf59484f1
https://doi.org/10.1016/j.jcp.2013.09.018
https://doi.org/10.1016/j.jcp.2013.09.018
Publikováno v:
Journal of Computational and Applied Mathematics. 254:2-16
We study spectral-Galerkin methods (SGM) for nonlinear eigenvalue problems, where the Legendre polynomials are used as the basis functions for the trial function space. The SGM is applied to find the ground state solution of the Gross–Pitaevskii eq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::95cbfe27e1dfd6b8e88e7a3f14dfebe3
https://doi.org/10.1016/j.cam.2013.03.004
https://doi.org/10.1016/j.cam.2013.03.004
Publikováno v:
Computer Physics Communications. 184:493-508
We describe an efficient two-parameter continuation algorithm combined with spectral collocation methods for computing the ground state and central vortex state solutions of rotating Bose–Einstein condensates in optical lattices, where the first ki
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5f112ec5297507804dc255b47694b67c
https://doi.org/10.1016/j.cpc.2012.10.001
https://doi.org/10.1016/j.cpc.2012.10.001
Publikováno v:
Communications in Computational Physics. 13:442-460
We study efficient spectral-collocation and continuation methods (SCCM) for rotating two-component Bose-Einstein condensates (BECs) and rotating two-component BECs in optical lattices, where the second kind Chebyshev polynomials are used as the basis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e09adc396a4fb08b971f21ca47ae45e2
https://doi.org/10.4208/cicp.110711.170212a
https://doi.org/10.4208/cicp.110711.170212a