Controlling soliton interactions in Bose-Einstein condensates by synchronizing the Feshbach resonance and harmonic trap

Journal Article · Fri Feb 15 04:00:00 EST 2008 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.77.023613· OSTI ID:21140534

Xiaofei, Zhang ^[1]; Qin, Yang ^[1]; Jiefang, Zhang ^[2]; Chen, X Z ^[3]; Liu, W M ^[1]

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1. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100080 (China)
2. Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004 (China)
3. Key Laboratory for Quantum Information and Measurements of Ministry of Education, School of Electronics Engineering and Computer Science, Peking University, Beijing 100871 (China)

We present how to control interactions between solitons, either bright or dark, in Bose-Einstein condensates by synchronizing Feshbach resonance and harmonic trap. Our results show that as long as the scattering length is to be modulated in time via a changing magnetic field near the Feshbach resonance, and the harmonic trapping frequencies are also modulated in time, exact solutions of the one-dimensional nonlinear Schroedinger equation can be found in a general closed form, and interactions between two solitons are modulated in detail in currently experimental conditions. We also propose experimental protocols to observe the phenomena such as fusion, fission, warp, oscillation, elastic collision in future experiments.

• OSTI ID: 21140534
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 77; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
COLLISIONS
CONTROL
EXACT SOLUTIONS
INTERACTIONS
MAGNETIC FIELDS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
OSCILLATIONS
RESONANCE
SCATTERING LENGTHS
SCHROEDINGER EQUATION
SOLITONS
TRAPPING
TRAPS