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Using variational and numerical solutions of the mean-field Gross-Pitaevskii equation we show that a bright soliton can be stabilized in a trapless three-dimensional attractive Bose-Einstein condensate (BEC) by a rapid periodic temporal…

Other Condensed Matter · Physics 2009-11-10 Sadhan K. Adhikari

Inhomogeneous boson systems, such as the dilute gases of integral spin atoms in low-temperature magnetic traps, are believed to be well described by the Gross-Pitaevskii equation (GPE). GPE is a nonlinear Schroedinger equation which…

Other Condensed Matter · Physics 2010-01-14 Rakesh P. Tiwari , Alok Shukla

The computation of the ground states of spin-$F$ Bose-Einstein condensates (BECs) can be formulated as an energy minimization problem with two quadratic constraints. We discretize the energy functional and constraints using the Fourier…

Numerical Analysis · Mathematics 2019-07-03 Tonghua Tian , Yongyong Cai , Xinming Wu , Zaiwen Wen

We study matter-wave bright solitons in spin-orbit (SO) coupled Bose-Einstein condensates (BECs) with attractive interatomic interactions. We use a multiscale expansion method to identify solution families for chemical potentials in the…

Quantum Gases · Physics 2013-08-09 V. Achilleos , D. J. Frantzeskakis , P. G. Kevrekidis , D. E. Pelinovsky

Spin-orbit coupling has novel spin-flip symmetries, a spin-1 spinor Bose-Einstein condensate owns meaningful interactions, and a toroidal trap is topologically nontrivial. We incorporate the three together and study the ground-state phase…

Quantum Gases · Physics 2022-02-21 Keyan Liu , Huaxin He , Chenhui Wang , Yuanyuan Chen , Yongping Zhang

We propose a scheme for spin-squeezing in the orbital motion of a Bose-Einstein condensate (BEC) in a toroidal trap. A circular lattice couples two counter-rotating modes and squeezing is generated by the nonlinear interaction spatially…

Quantum Gases · Physics 2015-07-28 Tomáš Opatrný , Michal Kolář , Kunal K. Das

This work is concerned with the construction and analysis of structure-preserving Galerkin methods for computing the dynamics of rotating Bose-Einstein condensate (BEC) based on the Gross-Pitaevskii equation with angular momentum rotation.…

Numerical Analysis · Mathematics 2024-05-28 Meng Li , Junjun Wang , Zhen Guan , Zhijie Du

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 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

We consider the topological defects and spin structures of spin-1 Bose-Einstein condensates (BECs) with spin-orbit coupling (SOC) and dipole-dipole interaction (DDI) in a rotating harmonic plus quartic trap. The combined effects of SOC, DDI…

Quantum Gases · Physics 2020-10-27 Ning Su , Qingbo Wang , Jinguo Hu , Xianghua Su , Linghua Wen

We study localized nonlinear excitations of a dilute Bose-Einstein condensate (BEC) with spin-orbit coupling in a deep optical lattice (OL). We use Wannier functions to derive a tight-binding model that includes the spin-orbit coupling…

Quantum Gases · Physics 2015-01-30 Mario Salerno , Fatkhulla Kh. Abdullaev

We demonstrate stable and metastable vortex-bright solitons in a three-dimensional spin-orbit-coupled three-component hyperfine spin-1 Bose-Einstein condensate (BEC) using numerical solution and variational approximation of a mean-field…

Quantum Gases · Physics 2019-08-20 Sandeep Gautam , S. K. Adhikari

We study the collective excitation spectrum of a Raman-induced spin-orbit-coupled spin-1 Bose-Einstein condensate confined in a quasi-one-dimensional harmonic trap while varying either the Raman coupling or quadratic Zeeman term by using…

Quantum Gases · Physics 2025-03-25 Rajat , Paramjeet Banger , Sandeep Gautam

We consider a macroscopic spin qubit based on spin-orbit coupled Bose-Einstein condensates, where, in addition to the spin-orbit coupling, spin dynamics strongly depends on the interaction between particles. The evolution of the spin for…

Quantum Physics · Physics 2015-05-19 Sh. Mardonov , M. Modugno , E. Ya. Sherman

We study trapped 2D atomic Bose-Einstein condensates with spin-independent interactions in the presence of an isotropic spin-orbit coupling, showing that a rich physics results from the non-trivial interplay between spin-orbit coupling,…

Quantum Gases · Physics 2015-05-30 Subhasis Sinha , Rejish Nath , Luis Santos

We obtain equations of quantum hydrodynamic (QHD) for magnetized spin-1 neutral Bose-Einstein condensate (BEC). System of QHD equations contains the equation of magnetic moment evolution (an analog of the Bloch equation). We account…

Quantum Gases · Physics 2012-02-16 P. A. Andreev

A rotating bosonic many-body system in a harmonic trap is studied with the 3D-Cranked Hartree-Fock-Bogoliubov method at zero temperature, which has been applied to nuclear many-body systems at high spin. This method is a variational method…

Other Condensed Matter · Physics 2009-11-13 Nobukuni Hamamoto , Makito Oi , Naoki Onishi

By developing a hydrodynamic formalism, we investigate the expansion dynamics of the single-minimum phase of a binary spin-orbit coupled Bose-Einstein condensate, after releasing from an external harmonic trap. We find that the expansion of…

Quantum Gases · Physics 2017-09-01 Chunlei Qu , Lev P. Pitaevskii , Sandro Stringari

We study fundamental and vortical solitons in disk-morphed Bose-Einstein condensates (BECs) subject to strong confinement along the axial direction. Starting from the three-dimensional (3D) Gross-Pitaevskii equation (GPE), we proceed to an…

Quantum Gases · Physics 2015-05-13 Luca Salasnich , Boris A. Malomed

We propose a spin-orbit-coupled Floquet spinor Bose-Einstein condensate (BEC) which can be implemented by Floquet engineering of a quadratic Zeeman field. The Floquet spinor BEC has a Bessel-function-modulated Rabi frequency and a…

Quantum Gases · Physics 2023-06-16 Yani Zhang , Yuanyuan Chen , Hao Lyu , Yongping Zhang
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