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Related papers: OpenMP solver for rotating spin-one spin-orbit- an…

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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…

Here, we present simple and efficient numerical scheme to study static and dynamic properties of spin-1 Bose-Einstein condensates (BECs) with spin-orbit (SO) coupling by solving three coupled Gross-Pitaevskii equations (CGPEs) in three-,…

Quantum Gases · Physics 2023-01-10 Pardeep Kaur , Arko Roy , Sandeep Gautam

We provide here a set of three OpenMP parallelized FORTRAN 90/95 programs to compute the ground states and the dynamics of trapped spin-2 Bose-Einstein condensates (BECs) with anisotropic spin-orbit (SO) coupling by solving a set of five…

Quantum Gases · Physics 2023-01-10 Paramjeet Banger , Pardeep Kaur , Arko Roy , Sandeep Gautam

We present OpenMP versions of C and Fortran programs for solving the Gross-Pitaevskii equation for a rotating trapped Bose-Einstein condensate (BEC) in two (2D) and three (3D) spatial dimensions. The programs can be used to generate vortex…

In this paper we present Open Multi-Processing (OpenMP) Fortran 90/95 versions of previously published numerical programs for solving the dipolar Gross-Pitaevskii (GP) equation including the contact interaction in one, two and three spatial…

Quantum Gases · Physics 2023-02-08 Luis E. Young-S. , Paulsamy Muruganandam , Antun Balaž , Sadhan K. Adhikari

We present Open Multi-Processing (OpenMP) version of Fortran 90 programs for solving the Gross-Pitaevskii (GP) equation for a Bose-Einstein condensate in one, two, and three spatial dimensions, optimized for use with GNU and Intel…

We present new version of previously published Fortran and C programs for solving the Gross-Pitaevskii equation for a Bose-Einstein condensate with contact interaction in one, two and three spatial dimensions in imaginary and real time,…

We consider a two-component pancake-shaped, i.e., effectively two-dimensional (2D), Bose-Einstein condensate (BEC) coupled by the spin-orbit (SO) and Rabi terms. The SO coupling adopted here is of the mixed Rashba-Dresselhaus type. For this…

Quantum Gases · Physics 2014-10-14 Luca Salasnich , Wesley B. Cardoso , Boris A. Malomed

We study the localization of a noninteracting and weakly interacting Bose-Einstein condensate with spin-orbit coupling loaded in a quasiperiodic bichromatic optical lattice potential using the numerical solution and variational…

Quantum Gases · Physics 2015-06-19 Yongshan Cheng , Gaohui Tang , S. K. Adhikari

We analytically solve the one-dimensional coupled Gross-Pitaevskii equations which govern the motion of F=1 spinor Bose-Einstein condensates. The nonlinear density-density interactions are decoupled by making use of the unique properties of…

Quantum Gases · Physics 2015-06-04 Zhi-Hai Zhang , Cong Zhang , Shi-Jie Yang , Shiping Feng

This study explores the dynamics of Bose-Einstein condensates (BECs) with helicoidal spin-orbit coupling (SOC) and Rabi coupling, confined under a two-dimensional harmonic potential. The relationship between helicoidal SOC, non-linear…

Quantum Gases · Physics 2026-05-27 Sai Satyaprakash Biswal , S. Saravana Veni

We investigate the stationary vortex solutions in two-dimensional (2D) Rashba spin-orbit (SO) coupled spin-1 Bose-Einstein condensate (BEC). By introducing the generalized momentum operator, the linear version of the system can be solved…

Quantum Gases · Physics 2023-01-03 Jun-Zhu Li , Huan-Bo Luo , Lu Li

In this paper, we systematically review mathematical models, theories and numerical methods for ground states and dynamics of spinor Bose-Einstein condensates (BECs) based on the coupled Gross-Pitaevskii equations (GPEs). We start with a…

Quantum Gases · Physics 2018-06-20 Weizhu Bao , Yongyong Cai

In this study, we investigate the dynamics of tunable spin-orbit-coupled spin-1 Bose-Einstein condensates confined within a harmonic trap, focusing on rapid transport, spin manipulation, and splitting dynamics. Using shortcuts to…

Quantum Gases · Physics 2024-06-07 Yaning Xu , Yuanyuan Chen , Xi Chen

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…

We report results of systematic analysis of confined steadily rotating patterns in the two-component BEC including the spin-orbit coupling (SOC) of the Rashba type, which acts in the interplay with the attractive or repulsive…

Quantum Gases · Physics 2024-11-07 Hidetsugu Sakaguchi , Boris A. Malomed

This paper investigates the dynamics of spin-2 Bose-Einstein condensates (BECs) with rotation and spin-orbit coupling (SOC). In order to better simulate the dynamics, we present an efficient high-order compact splitting Fourier spectral…

Numerical Analysis · Mathematics 2026-03-27 Xin Liu , Ziqing Xie , Yongjun Yuan , Yong Zhang , Xinyi Zhao

We theoretically study the stationary-state vortex lattice configurations of rotating spin-orbit- and coherently-coupled spin-1 Bose-Einstein condensates trapped in quasi-two-dimensional harmonic potentials. The combined effects of…

Quantum Gases · Physics 2022-12-26 Paramjeet Banger , R. Kishor Kumar , A. Roy , Sandeep Gautam

An experimental proposal for realizing spin-orbit (SO) coupling of pseudospin-1 in the ground manifold $^1\Sigma(\upsilon=0)$ of (bosonic) bialkali polar molecules is presented. The three spin components are composed of the ground…

Quantum Gases · Physics 2018-05-16 Y. Deng , L. You , S. Yi

In this paper, we propose an efficient and accurate numerical method for computing the dynamics of rotating two-component Bose--Einstein condensates (BECs) which is described by coupled Gross--Pitaevskii equations (CGPEs) with an angular…

Numerical Analysis · Mathematics 2013-06-10 Ming Ju , Qinglin Tang , Yanzhi Zhang
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