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We demonstrate exotic stable quasi-two-dimensional solitons in a Rashba or a Dresselhaus spin-orbit (SO) coupled hyperfine spin-1 ($F=1$) trap-less antiferromagnetic Bose-Einstein condensate using the mean-field Gross-Pitaevskii equation.…

Quantum Gases · Physics 2021-01-08 S. K. Adhikari

We demonstrate spontaneous generation of spatially-periodic supersolid-like super-lattice and stripe solitons in Rashba spin-orbit (SO) coupled spin-1 and spin-2 quasi-two-dimensional nonmagnetic Bose-Einstein condensates (BECs). The…

Quantum Gases · Physics 2022-11-04 Pardeep Kaur , Sandeep Gautam , S. K. Adhikari

We demonstrate the formation of stable spatially-ordered states in a {\it uniform} and also {\it trapped} quasi-two-dimensional (quasi-2D) Rashba or Dresselhaus spin-orbit (SO) coupled pseudo spin-1/2 Bose-Einstein condensate using the…

Quantum Gases · Physics 2021-08-11 S. K. Adhikari

We study the formation of spin-1 symbiotic spinor solitons in a quasi-one- (quasi-1D) and quasi-two-dimensional (quasi-2D) hyper-fine spin $F=1$ ferromagnetic Bose-Einstein condensate (BEC). The symbiotic solitons necessarily have a…

Quantum Gases · Physics 2021-08-12 S K Adhikari

We study the formation of solitons in a uniform quasi-two-dimensional (quasi-2D) spin-orbit (SO) coupled self-repulsive binary dipolar and nondipolar Bose-Einstein condensate (BEC) using the mean-field Gross-Pitaevskii equation. For a weak…

Quantum Gases · Physics 2026-02-05 S. K. Adhikari

We study the formation of solitons in a uniform quasi-one-dimensional (quasi-1D) spin-orbit (SO) coupled self-repulsive pseudo spin-half and spin-one dipolar Bose-Einstein condensates (BEC), using the mean-field Gross-Pitaevskii equation.…

Quantum Gases · Physics 2026-03-20 S. K. Adhikari

We study supersolid-like crystalline structures emerging in the stationary states of a quasi-two-dimensional spin-orbit (SO)-coupled spin-2 condensate in the ferromagnetic, cyclic, and antiferro-magnetic phases by solving a mean-field…

Quantum Gases · Physics 2022-02-03 Pardeep Kaur , Sandeep Gautam , S. K. Adhikari

It was recently found that the spin-orbit (SO) coupling can help to create stable matter-wave solitons in spinor Bose-Einstein condensates in the two-dimensional (2D) free space. Being induced by external laser illumination, the effective…

Pattern Formation and Solitons · Physics 2019-03-15 Yongyao Li , Xiliang Zhang , Rongxuan Zhong , Zhihuan Luo , Bin Liu , Chunqing Huang , Wei Pang , Boris A. Malomed

It is commonly known that two-dimensional mean-field models of optical and matter waves with the cubic self-attraction cannot produce stable solitons in free space because of the occurrence of the collapse in the same setting. By means of…

Quantum Gases · Physics 2015-06-19 Hidetsugu Sakaguchi , Ben Li , Boris A. Malomed

We study the vortex-lattice formation in a rotating {Rashba} spin-orbit (SO) coupled quasi-two-dimensional (quasi-2D) hyper-fine spin-1 spinor Bose-Einstein condensate (BEC) in the $x-y$ plane using a numerical solution of the underlying…

Quantum Gases · Physics 2020-11-24 S. K. Adhikari

It is known that the interplay of the spin-orbit-coupling (SOC) and mean-field self-attraction creates stable two-dimensional (2D) solitons (ground states) in spinor Bose-Einstein condensates. However, SOC destroys the system's Galilean…

Quantum Gases · Physics 2022-02-23 Hidetsugu Sakaguchi , Fumihide Hirano , Boris A. Malomed

We study supersolid-like states in a quasi-two-dimensional trapped Rashba and Dresselhaus spin-orbit (SO) coupled spin-1 condensate. For small strengths of SO coupling $\gamma$ ($\gamma \lessapprox 0.75$), in the ferromagnetic phase,…

Quantum Gases · Physics 2021-05-26 S. K. Adhikari

By means of variational methods and systematic numerical analysis, we demonstrate the existence of stable solitons in three-dimensional (3D) free space, in the context of binary atomic condensates combining contact self-attraction and…

Quantum Gases · Physics 2015-12-23 Yong-Chang Zhang , Zheng-Wei Zhou , Boris A. Malomed , Han Pu

We address a possibility of creating soliton states in oblate binary-fermionic clouds in the framework of the density-functional theory, which includes the spin-orbit coupling (SOC) and nonlinear attraction between spin-up and…

Quantum Gases · Physics 2018-12-05 Pablo Díaz , David Laroze , Andrés Ávila , Boris A. Malomed

We present an analysis of two-dimensional (2D) matter-wave solitons, governed by the pseudo-spinor system of Gross-Pitaevskii equations with self- and cross-attraction, which includes the spin-orbit coupling (SOC) in the general…

Quantum Gases · Physics 2016-09-20 Hidetsugu Sakaguchi , E. Ya. Sherman , Boris A. Malomed

We demonstrate the formation of multi-peak three-component stationary stripe vector solitons in a quasi-one-dimensional spin-orbit-coupled hyper-fine spin $F = 1$ polar Bose-Einstein condensate. The present investigation is carried out…

Quantum Gases · Physics 2020-02-19 S K Adhikari

We report families of two-dimensional (2D) composite solitons in spinor dipolar Bose-Einstein condensates, with two localized components linearly mixed by the spin-orbit coupling (SOC), and the intrinsic nonlinearity represented by the…

Pattern Formation and Solitons · Physics 2016-02-24 Xunda Jiang , Zhiwei Fan , Zhaopin Chen , Wei Pang , Yongyao Li , Boris A. Malomed

We analyze a possibility of macroscopic quantum effects in the form of coupled structural oscillations and shuttle motion of bright two-component spin-orbit-coupled striped (one-dimensional, 1D) and semi-vortex (two-dimensional, 2D)…

Quantum Gases · Physics 2017-11-22 Hidetsugu Sakaguchi , Boris A. Malomed

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 address effects of spin-orbit coupling (SOC), phenomenologically added to a two-component Bose-Einstein condensate composed of particles moving by Levy flights, in one- and two-dimensional (1D and 2D) settings. The corresponding system…

Quantum Gases · Physics 2022-07-06 Hidetsugu Sakaguchi , Boris A. Malomed
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