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This work concerns the computation of ground states of two-component spin-orbit coupled Bose-Einstein condensates (SO-coupled BECs), modelled by a coupled nonlinear eigenvalue problem of Gross-Pitaevskii type. Spin-orbit coupling gives rise…

Numerical Analysis · Mathematics 2026-01-15 Patrick Henning , Laura Huynh

We consider a system of two Gross-Pitaevskii (GP) equations, in the presence of an optical-lattice (OL) potential, coupled by both nonlinear and linear terms. This system describes a Bose-Einstein condensate (BEC) composed of two different…

Chaotic Dynamics · Physics 2009-11-10 Mason A. Porter , P. G. Kevrekidis , B. A. Malomed

Bose-Einstein condensates of dilute atomic gases, characterized by a macroscopic population of the quantum mechanical ground state, are a new, weakly interacting quantum fluid. In most experiments condensates in a single weak field seeking…

Statistical Mechanics · Physics 2015-06-25 J. Stenger , S. Inouye , D. M. Stamper-Kurn , H. -J. Miesner , A. P. Chikkatur , W. Ketterle

In this letter we address the issue how synthetic spin-orbit (SO) coupling can strongly affect three-body physics in ultracold atomic gases. We consider a system which consists of three fermionic atoms, including two spinless heavy atoms…

Quantum Gases · Physics 2014-01-15 Zhe-Yu Shi , Xiaoling Cui , Hui Zhai

We consider a model of the exciton-polariton condensate based on a system of two Gross-Pitaevskii equations coupled by the second-order differential operator, which represents the spin-orbit coupling (SOC) in the system. Also included are…

Optics · Physics 2017-09-13 Hidetsugu Sakaguchi , Boris A. Malomed , Dmitry V. Skryabin

We numerically investigate the stationary turbulent states of spin-1 Bose-Einstein condensates under continuous spin driving. We analyze the entanglement entropy and magnetization correlation function to demonstrate the isotropic nature of…

Quantum Gases · Physics 2024-03-04 Jong Heum Jung , Junghoon Lee , Jongmin Kim , Yong-il Shin

We report the Bose-Einstein condensate (BEC) in the Bloch bands with off-diagonal periodic potential (ODPP), which simultaneously plays the role of spin-orbit coupling (SOC) and Zeeman field. This model can be realized using two independent…

Quantum Gases · Physics 2019-11-13 Yue-Xin Huang , Wei Feng Zhuang , Xiang-Fa Zhou , Han Pu , Guang-Can Guo , Ming Gong

We demonstrate that dynamical symmetry plays a crucial role in determining the structure of the eigenspectra of spinor Bose-Einstein condensates (BECs). In particular, the eigenspectra of spin- 1 and spin-2 BECs in the single-mode…

Other Condensed Matter · Physics 2008-08-12 Shun Uchino , Takaharu Otsuka , Masahito Ueda

We study the condensate dynamics of the so-called entangled Bose-Einstein condensation (EBEC), which is the ground state of a mixture of two species of pseudospin-$\frac{1}{2}$ atoms with interspecies spin-exchange scattering in certain…

Quantum Gases · Physics 2015-05-14 Yu Shi

We study analytically and asymptotically as well as numerically ground states and dynamics of two-component spin-orbit-coupled Bose-Einstein condensates (BECs) modeled by the coupled Gross-Pitaevskii equations (CGPEs). In fact, due to the…

Mathematical Physics · Physics 2015-04-14 Weizhu Bao , Yongyong Cai

Bose-Einstein condensates (BECs) of positronium (Ps) have been of experimental and theoretical interest due to their potential application as the gain medium of a $\gamma$-ray laser. Ps BECs are intrinsically spinor due to the presence of…

Quantum Gases · Physics 2015-04-14 Yi-Hsieh Wang , Brandon M. Anderson , Charles W. Clark

Understanding the effects of spin-orbit coupling (SOC) and many-body interactions on spin transport is important in condensed matter physics and spintronics. This topic has been intensively studied for spin carriers such as electrons but…

The dynamics of three coupled bosonic wells (trimer) containing $N$ bosons is investigated within a standard (mean-field) semiclassical picture based on the coherent-state method. Various periodic solutions (configured as $\pi$-like,…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Roberto Franzosi , Vittorio Penna

We present an analysis of stationary solutions for two-dimensional (2D) Bose-Einstein condensates (BECs) with the Rashba spin-orbit (SO) coupling and Zeeman splitting. By introducing the generalized momentum operator, the linear version of…

Quantum Gases · Physics 2022-09-07 Huan-Bo Luo , B. A. Malomed , Wu-Ming Liu , Lu Li

We numerically investigate the ground state, the Raman-driving dynamics and the nonlinear excitations of a realized spin-orbit-coupled Bose-Einstein condensate in a one-dimensional harmonic trap. Depending on the Raman coupling and the…

Quantum Gases · Physics 2015-01-07 Shuai Cao , Chuan-Jia Shan , Dan-Wei Zhang , Xizhou Qin , Jun Xu

We consider the ground-state properties of Rashba spin-orbit-coupled pseudo-spin-1/2 Bose-Einstein condensates (BECs) in a rotating two-dimensional (2D) toroidal trap. In the absence of spin-orbit coupling (SOC), the increasing rotation…

Quantum Gases · Physics 2017-07-11 Huan Wang , Linghua Wen , Hui Yang , Chunxiao Shi , Jinghong Li

We study two-dimensional (2D) matter-wave solitons in spinor Bose-Einstein condensates (BECs) under the action of the spin-orbit coupling (SOC) and opposite signs of the self- and cross-interactions. Stable 2D two-component solitons of the…

We theoretically investigate the dynamics of modulation instability (MI) in two-dimensional spin-orbit coupled Bose-Einstein condensates (BECs). The analysis is performed for equal densities of pseudo-spin components. Different combination…

Quantum Gases · Physics 2017-05-22 S. Bhuvaneswari , K. Nithyanandan , P. Muruganandam , K. Porsezian

Nonlinear coherent modes are the collective states of trapped Bose atoms, corresponding to different energy levels. These modes can be created starting from the ground state condensate that can be excited by means of a resonant alternating…

Condensed Matter · Physics 2009-11-07 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

We demonstrate the formation of robust zero energy modes close to magnetic impurities in the iron-based superconductor FeSe$_{1-x}$Te$_x$. We find that the Zeeman field generated by the impurity favors a spin-triplet inter-orbital pairing…

Superconductivity · Physics 2022-12-02 Areg Ghazaryan , Ammar Kirmani , Rafael M. Fernandes , Pouyan Ghaemi