Related Experiment Video
Updated: Oct 23, 2025
11:03
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
8.7K
Systematic vector solitary waves from their linear limits in one-dimensional n-component Bose-Einstein condensates.
1College of Physics, Sichuan University, Chengdu 610065, China.
Physical Review. E
|August 20, 2021
Summary
Researchers created stable vector solitary waves in Bose-Einstein condensates using a novel continuation method. This technique allows for the exploration of complex quantum states in various component systems.
Area of Science:
- Quantum physics and condensed matter theory.
- Bose-Einstein condensates (BECs) and nonlinear dynamics.
Background:
- Vector solitary waves are complex quantum states in multi-component Bose-Einstein condensates.
- Understanding their stability and dynamics is crucial for exploring novel quantum phenomena.
Purpose of the Study:
- To systematically construct and stabilize vector solitary waves in 1D three-, four-, and five-component Bose-Einstein condensates.
- To develop a method for continuing these states from linear limits to the nonlinear Thomas-Fermi regime.
Main Methods:
- Systematic construction of vector solitary waves in harmonically trapped BECs.
- Continuation of stationary states via a proposed interpolation procedure in chemical potential space.
- Bogoliubov-de Gennes spectral analysis for stability assessment.
Main Results:
- Successfully constructed a series of vector solitary waves across different component numbers.
- Demonstrated stabilization of these states within specific chemical potential intervals in the Thomas-Fermi regime.
- Presented examples of SU(n)-rotation-induced and driving-induced dynamics.
Conclusions:
- The proposed continuation method effectively stabilizes vector solitary waves in multi-component BECs.
- The technique is extendable to higher dimensions, promising for discovering diverse solitary wave solutions.
Related Concept Videos
01:17Standing Waves
4.8K
Sometimes waves do not seem to move; rather, they just vibrate in place. Unmoving waves can be seen on the surface of a glass of milk kept in a refrigerator, which is one example of standing waves. Vibrations from the refrigerator motor create waves on the milk that oscillate up and down but do not seem to move across the surface. These waves are formed or created by the superposition of two or more identical moving waves in opposite directions. The waves move through each other, with their...
4.8K
01:30Electromagnetic Waves in Matter
3.5K
Electromagnetic waves can travel in the vacuum as well as in matter. For example light, which is an electromagnetic wave, can travel through air, water, or glass.
Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the...
Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the...
3.5K
01:07Propagation of Waves
2.5K
When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
2.5K
01:30Plane Electromagnetic Waves I
4.4K
The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
The EM field is assumed...
The EM field is assumed...
4.4K
01:02Equations of Wave Motion
6.5K
Mathematically, the motion of a wave can be studied using a wavefunction. Consider a string oscillating up and down in simple harmonic motion, having a period T. The wave on the string is sinusoidal and is translated in the positive x-direction as time progresses. Sine is a function of the angle θ, oscillating between +A and −A and repeating every 2π radians. To construct a wave model, the ratio of the angle θ and the position x is considered.
6.5K
01:04Travelling Waves
6.1K
A wave is a disturbance that propagates from its source, repeating itself periodically, and is typically associated with simple harmonic motion. Mechanical waves are governed by Newton's laws and require a medium to travel. A medium is a substance in which a mechanical wave propagates, and the medium produces an elastic restoring force when it is deformed.
Water waves, sound waves, and seismic waves are some examples of mechanical waves. For water waves, the wave propagation medium is...
Water waves, sound waves, and seismic waves are some examples of mechanical waves. For water waves, the wave propagation medium is...
6.1K