Related Experiment Video
Updated: Jan 21, 2026
09:00
Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser
Published on: June 28, 2018
10.4K
Solitons in spin-orbit-coupled spin-2 spinor Bose-Einstein condensates
Nian-Sheng Wan1, Yu-E Li1, Ju-Kui Xue1
1College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China.
Physical Review. E
|July 24, 2019
Summary
We explored matter-wave solitons in spin-orbit-coupled spin-2 Bose-Einstein condensates. Analytical and numerical methods revealed bright and dark soliton solutions depending on system dispersion properties.
Area of Science:
- Quantum physics
- Atomic physics
- Condensed matter physics
Background:
- Spin-orbit coupling in Bose-Einstein condensates (BECs) leads to complex quantum phenomena.
- Spin-2 spinor BECs exhibit rich magnetic properties and potential for novel soliton states.
- Understanding matter-wave solitons is crucial for quantum information and simulation.
Purpose of the Study:
- To investigate the types of matter-wave solitons in spin-orbit-coupled spin-2 spinor BECs.
- To derive analytical solutions for solitons using theoretical methods.
- To confirm analytical findings through numerical simulations.
Main Methods:
- Mean-field theory and the multiscale perturbation method were used to simplify the Gross-Pitaevskii equation.
- Reduction of the five-component model to a single effective nonlinear Schrödinger equation.
- Direct numerical simulations of the original five-component equations to validate results.
Main Results:
- Analytical bright and dark soliton solutions were found for different regimes of coupling and interactions.
- Soliton types (bright/dark) and mass (positive/negative) depend on the dispersion properties of the lowest-energy band.
- Single-well dispersion yields positive mass solitons; double-well dispersion allows for both positive and negative mass solitons.
Conclusions:
- The study provides a theoretical framework for understanding matter-wave solitons in spin-orbit-coupled spin-2 BECs.
- Dispersion properties critically determine the existence and characteristics of solitons.
- Analytical predictions were successfully verified by numerical simulations, confirming the model's validity.
Related Concept Videos
01:17Spin–Spin Coupling: One-Bond Coupling
1.4K
Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
1.4K
01:20Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)
1.6K
Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
1.6K
01:22Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)
1.5K
Vicinal or three-bond coupling is commonly observed between protons attached to adjacent carbons. Here, nuclear spin information is primarily transferred via electron spin interactions between adjacent C‑H bond orbitals. This generally favors the antiparallel arrangement of spins, so 3J values are usually positive.
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the involved orbitals. The...
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the involved orbitals. The...
1.5K
01:08NMR Spectroscopy: Spin–Spin Coupling
3.0K
The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved...
3.0K
01:08Spin–Spin Coupling Constant: Overview
1.5K
In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
1.5K
01:08Atomic Nuclei: Nuclear Spin
5.0K
All atomic particles possess an intrinsic angular momentum, or 'spin'. Electrons, protons, and neutrons each have a spin value of ½, although protons and neutrons in nuclei may have higher half-integer spins owing to energetic factors.
Atomic nuclei have a net nuclear spin, , which can have an integer or half-integer value. In atomic nuclei, the spins of protons are paired against each other but not with neutrons, and vice versa. Consequently, an even number of protons does not contribute to...
Atomic nuclei have a net nuclear spin, , which can have an integer or half-integer value. In atomic nuclei, the spins of protons are paired against each other but not with neutrons, and vice versa. Consequently, an even number of protons does not contribute to...
5.0K