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Sonic horizon formation for oscillating Bose-Einstein condensates in isotropic harmonic potential
Ying Wang1, Yu Zhou1, Shuyu Zhou2
1School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212003, China.
Scientific Reports
|December 7, 2016
Summary
Researchers explored sonic horizon phenomena in oscillating Bose-Einstein condensates. An analytical formula was derived for sonic horizon formation criteria and lifetime, validated by previous numerical findings.
Area of Science:
- Quantum physics
- Condensed matter physics
Background:
- Bose-Einstein condensates exhibit complex dynamics, including the formation of sonic horizons.
- Understanding sonic horizons is crucial for characterizing wave phenomena in quantum systems.
Purpose of the Study:
- To analytically derive the criteria and lifetime for sonic horizon formation in oscillating Bose-Einstein condensates.
- To investigate the influence of interaction parameters and system width on sonic horizon occurrence and damping.
Main Methods:
- Utilized the Gross-Pitaevskii equation model.
- Applied the variational method for analytical derivation.
- Developed an original analytical formula for sonic horizon characteristics.
Main Results:
- Derived an analytical formula for sonic horizon formation criteria and lifetime.
- Demonstrated the dependence of sonic horizon occurrence on interaction parameters.
- Showcased the damping effect of system distribution width.
Conclusions:
- The derived analytical results quantitatively corroborate previous numerical findings on sonic horizons.
- Provides a new analytical framework for studying sonic horizon phenomena in Bose-Einstein condensates.
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