Article
Physics, Multidisciplinary
Ji-Guo Wang, Yue-Qing Li, Shi-Jie Yang
Summary: In this study, we investigated the ground-state phases of spin-orbit coupled spin-3 Bose-Einstein condensates. The competition between different spin-singlet interactions and spin-orbit coupling results in various ground-state phases, including stripe phase, ring phase, transition phase, triangular lattice phase, rectangular lattice phase, and octagonal lattice phase.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Mathematics, Applied
Ling-Zheng Meng, Yan-Hong Qin, Li-Chen Zhao
Summary: This paper investigates the properties and motion of vector solitons in Bose-Einstein condensates, exploring the nonintegrable cases of spin soliton solutions and their stability. The results show that these spin solitons are robust against spin-dependent interactions and noise, exhibiting features such as negative-positive mass transition, splitting, diffusion, and collisions.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2022)
Article
Computer Science, Interdisciplinary Applications
Yongyong Cai, Wei Liu
Summary: An accurate and efficient normalized gradient flow method is developed for computing the ground state of a spinor Bose-Einstein condensate with an arbitrary positive integer spin, with constraints on mass and magnetization. The method involves introducing Lagrange multipliers and using a semi-implicit Euler time discretization scheme, allowing for inexact projections. The numerical results for spin-1, spin-2, and spin-3 cases demonstrate the accuracy and effectiveness of the algorithm.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Physics, Fluids & Plasmas
Jun-Cheng Liang, Yan-Chao Zhang, Chen Jiao, Ai-Xia Zhang, Ju-Kui Xue
Summary: We theoretically investigate the ground-state phases and superfluidity of tunable spin-orbit-coupled Bose-Einstein condensates under the periodic driving of Raman coupling. By adjusting the external driving, the boundary of ground-state phases can be controlled, leading to three different phase transitions. In the stripe phase, the contrast of the stripe density can be enhanced by the periodic driving. Additionally, dynamical instability and sound velocity of the ground-state and superfluidity state can be effectively controlled by tuning the periodic driving strength of Raman coupling.
Article
Physics, Multidisciplinary
Juan-juan Qi, Dun Zhao, Wu-Ming Liu
Summary: We analytically investigate the effects of spin-orbit coupling (SOC) on soliton collisions in spin-1 Bose-Einstein condensates (BECs). By using the non-standard Hirota's bilinear method, we derive exact soliton solutions for a 1D spin-orbit coupled spin-1 BEC, revealing how SOC can manipulate the dynamics of solitons in spinor BECs. We discuss in detail the soliton collisions of different types under SOC, including ferromagnetic-polar, ferromagnetic-ferromagnetic, and polar-polar collisions. Comparisons between systems with and without SOC show a remarkable phenomenon: SOC can cause the splitting of a soliton.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2023)
Article
Multidisciplinary Sciences
Sirilak Sriburadet, Yin-Tzer Shih, B-W Jeng, C-H Hsueh, C-S Chien
Summary: This study explores the existence of nontrivial solution branches of three-coupled Gross-Pitaevskii equations (CGPEs) as a mathematical model for rotating spin-1 Bose-Einstein condensates (BEC). Utilizing the Lyapunov-Schmidt reduction and a multilevel continuation method, the efficiency of computing ground state solutions under rapid rotation for spin-1 Rb-87 and Na-23 is demonstrated. Additionally, the impact of magnetization on CGPEs is investigated.
SCIENTIFIC REPORTS
(2021)
Article
Materials Science, Multidisciplinary
Qingbo Wang, Wenjing Zhao, Linghua Wen
Summary: The study reveals that spin-orbit coupling has a significant influence on the dynamics of kicked pseudo-spin-1/2 Bose-Einstein condensates under different conditions, mainly reflected in the different behaviors of density distribution and energy evolution.
RESULTS IN PHYSICS
(2021)
Article
Optics
Huan Zhang, Sheng Liu, Yong-Sheng Zhang
Summary: This study investigates Faraday patterns generated by parametric resonance induced by spin-orbit coupling in a spinor Bose-Einstein condensate with repulsive interaction. The interplay between Faraday instabilities and modulation instabilities during a quench when the spin-orbit coupled Bose-Einstein condensate transitions from zero-momentum phase to plane-wave phase is examined.
Article
Physics, Multidisciplinary
Qiang Zhao, Hongjing Bi
Summary: In this study, the ground state phases of spin-1 Bose-Einstein condensates with Rashba spin-orbit coupling and dipole-dipole interaction are investigated. Six stable phases are classified based on the competition between DDI and SOC, with transitions between different phases observed as the SOC strength varies.
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
(2021)
Article
Mathematics, Interdisciplinary Applications
Chunyan Li, Vladimir V. Konotop, Boris A. Malomed, Yaroslav V. Kartashov
Summary: This study reveals the mechanism of linear and nonlinear localization induced by spatially periodic modulation of spin-orbit coupling. It shows that specific chemical potential can lead to localized solitons or vortex solitons, and their stability strongly depends on the potential's location in the gaps.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Physics, Condensed Matter
Y. Y. Bao, S. R. Li, Y. H. Liu, T. F. Xu
Summary: We study two types of bright solitons in zero and non-zero detuning spin-orbit-coupled (SOC) Bose-Einstein condensates in fractional effect by variational and imaginary-time evolution method. The results show that the variation of SOC with fractional kinetic energy operator affects the existence and form of solitons. In particular, we found that SOC strength ? = 1.0 could be a transition point. In other words, for ? < 1.0 and ? ? 1.0, the soliton states and pseudo-spin polarization in non-zero detuning show opposite changes. In addition, moving bright solitons with zero and non-zero detuning are studied.
JOURNAL OF PHYSICS-CONDENSED MATTER
(2023)
Article
Physics, Fluids & Plasmas
F. Kh. Abdullaev, M. S. A. Hadi, B. Umarov, L. A. Taib, M. Salerno
Summary: We demonstrate the existence and stability of compactons matter waves in binary mixtures of Bose-Einstein condensates trapped in deep optical lattices under periodic time modulations. The density dependent spin-orbit coupling (SOC) parameters strongly influence the characteristics of compactons, and their stability is investigated through linear stability analysis and time integrations. SOC restricts the parameter ranges for stable stationary compacton existence but provides a more stringent signature of their occurrence. Furthermore, SOC-compactons may be used for indirect measurements of the number of atoms and/or the intraspecies interactions.
Article
Mathematics, Applied
Xiang-Gui Li, Shu-Cun Li
Summary: The paper introduces a high-order numerical method for simulating the coupled Gross-Pitaevskii equations using the operator-compensation technique, which conserves mass and energy at the discrete level. Numerical experiments confirm the accuracy and conservative properties of the method.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
(2021)
Article
Mathematics, Interdisciplinary Applications
Yunjia Zhai, Yongping Zhang
Summary: In a two-dimensional atomic Bose-Einstein condensate, we have shown that Rashba spin-orbit coupling can always lead to dynamical instability and fragmentation of specific zero-quasimomentum states, resulting in dynamic patterning. The characteristics of the formed patterns can be identified through the symmetries of the Bogoliubov-de Gennes Hamiltonian. We demonstrate that spin-orbit-coupled Bose-Einstein condensates provide an interesting platform for studying pattern formations.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Materials Science, Multidisciplinary
Minseong Lee, Rico Schoenemann, Hao Zhang, David Dahlbom, Tae-Hwan Jang, Seung-Hwan Do, Andrew D. Christianson, Sang-Wook Cheong, Jae-Hoon Park, Eric Brosha, Marcelo Jaime, Kipton Barros, Cristian D. Batista, Vivien S. Zapf
Summary: We conducted a high-field study on the S = 2 quantum magnet Ba2FeSi2O7, which has a strongly anisotropic easy-plane square lattice. By observing the spin level crossing and magnetic field-induced spin level crossing, we studied the interplay between spin level crossings and antiferromagnetic order in this high-spin antiferromagnetic system. We determined the phase boundaries and spin level crossings using various measurements and calculations, and discovered the multiferroic behavior of magnetically induced electric polarization.
Article
Physics, Mathematical
Weizhu Bao, Qinglin Tang, Yong Zhang
COMMUNICATIONS IN COMPUTATIONAL PHYSICS
(2016)
Biographical-Item
Physics, Mathematical
Weizhu Bao, Siddhartha Mishra, Tao Tang
COMMUNICATIONS IN COMPUTATIONAL PHYSICS
(2016)
Article
Mathematics, Applied
Weizhu Bao, Loic Le Treust, Florian Mehats
KINETIC AND RELATED MODELS
(2017)
Article
Mathematics, Applied
Weizhu Bao, Xiaofei Zhao
NUMERISCHE MATHEMATIK
(2017)
Article
Computer Science, Interdisciplinary Applications
Weizhu Bao, Wei Jiang, Yan Wang, Quan Zhao
JOURNAL OF COMPUTATIONAL PHYSICS
(2017)
Article
Mathematics, Applied
Weizhu Bao, Yongyong Cai, Xiaowei Jia, Qinglin Tang
JOURNAL OF SCIENTIFIC COMPUTING
(2017)
Article
Mathematics, Applied
Xinming Wu, Zaiwen Wen, Weizhu Bao
JOURNAL OF SCIENTIFIC COMPUTING
(2017)
Article
Mathematics, Applied
Weizhu Bao, Chunmei Su
MATHEMATICS OF COMPUTATION
(2018)
Article
Mathematics, Interdisciplinary Applications
Weizhu Bao, Chunmei Su
MULTISCALE MODELING & SIMULATION
(2017)
Article
Mathematics, Applied
Weizhu Bao, Wei Jiang, David J. Srolovitz, Yan Wang
SIAM JOURNAL ON APPLIED MATHEMATICS
(2017)
Article
Mathematics, Applied
Weizhu Bao, Chunmei Su
SIAM JOURNAL ON SCIENTIFIC COMPUTING
(2018)
Article
Optics
Yongyong Cai, Yongjun Yuan, Matthias Rosenkranz, Han Pu, Weizhu Bao
Article
Mathematics, Applied
Weizhu Bao, Chunmei Su
KINETIC AND RELATED MODELS
(2018)
Article
Physics, Fluids & Plasmas
Ruizheng Hou, Nan Wang, Weizhu Bao, Zhisong Wang
Article
Materials Science, Multidisciplinary
Quan Zhao, Wei Jiang, David J. Srolovitz, Weizhu Bao