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Volume 8, Issue 3
The Numerical Study of the Ground States of Spin-1 Bose-Einstein Condensates with Spin-Orbit-Coupling

Yongjun Yuan, Zhiguo Xu, Qinglin Tang & Hanquan Wang

DOI: 10.4208/eajam.300418.300618

East Asian J. Appl. Math., 8 (2018), pp. 598-610.

Published online: 2018-08

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  • Abstract

A projection gradient method for computing the ground state of the spin-orbit-coupled spin-1 Bose-Einstein condensate at extremely low temperatures is proposed. The continuous gradient flows are discretised by a second-order finite difference method in space and the Crank-Nicolson method in time. Our discretisation preserves the total mass conservation and the energy diminishing property. Numerical results show the efficiency of the method.

  • Keywords

Spin-orbit-coupled spin-1 Bose-Einstein condensate, projection gradient method, ground state, energy functional minimisation.

  • AMS Subject Headings

65M10, 78A48

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-8-598, author = {Yongjun Yuan, Zhiguo Xu, Qinglin Tang and Hanquan Wang}, title = {The Numerical Study of the Ground States of Spin-1 Bose-Einstein Condensates with Spin-Orbit-Coupling}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {8}, number = {3}, pages = {598--610}, abstract = {

A projection gradient method for computing the ground state of the spin-orbit-coupled spin-1 Bose-Einstein condensate at extremely low temperatures is proposed. The continuous gradient flows are discretised by a second-order finite difference method in space and the Crank-Nicolson method in time. Our discretisation preserves the total mass conservation and the energy diminishing property. Numerical results show the efficiency of the method.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.300418.300618}, url = {http://global-sci.org/intro/article_detail/eajam/12628.html} }
TY - JOUR T1 - The Numerical Study of the Ground States of Spin-1 Bose-Einstein Condensates with Spin-Orbit-Coupling AU - Yongjun Yuan, Zhiguo Xu, Qinglin Tang & Hanquan Wang JO - East Asian Journal on Applied Mathematics VL - 3 SP - 598 EP - 610 PY - 2018 DA - 2018/08 SN - 8 DO - http://doi.org/10.4208/eajam.300418.300618 UR - https://global-sci.org/intro/article_detail/eajam/12628.html KW - Spin-orbit-coupled spin-1 Bose-Einstein condensate, projection gradient method, ground state, energy functional minimisation. AB -

A projection gradient method for computing the ground state of the spin-orbit-coupled spin-1 Bose-Einstein condensate at extremely low temperatures is proposed. The continuous gradient flows are discretised by a second-order finite difference method in space and the Crank-Nicolson method in time. Our discretisation preserves the total mass conservation and the energy diminishing property. Numerical results show the efficiency of the method.

Yongjun Yuan, Zhiguo Xu, Qinglin Tang and Hanquan Wang. (2018). The Numerical Study of the Ground States of Spin-1 Bose-Einstein Condensates with Spin-Orbit-Coupling. East Asian Journal on Applied Mathematics. 8 (3). 598-610. doi:10.4208/eajam.300418.300618
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