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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

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.

  • AMS Subject Headings

65M10, 78A48

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COPYRIGHT: © Global Science Press

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@Article{EAJAM-8-598, author = {}, 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 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 & Hanquan Wang. (2020). 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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