Abstract
We propose an indirect method for observing radiation from an incomplete soliton with a sufficiently large amplitude. We show that the radiation causes a notched structure on the envelope of the wave packet in the momentum space. The origin of this structure is the interference between the main body of oscillating solitons and the small radiation in the momentum space. We numerically integrate the nonlinear Schrödinger equation and perform Fourier transformation to confirm that the predicted structure really appears. We also show a simple model which reproduces the qualitative result. The experimental detection of the notched structure with the Bose-Einstein condensation of neutral atoms is discussed and suitable parameters for this detection experiment are shown.
| Original language | English |
|---|---|
| Article number | 104003 |
| Journal | Journal of the Physical Society of Japan |
| Volume | 81 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 2012 Oct |
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Keywords
- Bose-Einstein condensation
- Interference
- Numerical analysis
- One-dimensional Gross-Pitaevskii equation
- One-dimensional nonlinear Schrödinger equation
- Radiation
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Interference pattern formation between bound solitons and radiation in momentum space : Possible detection of radiation from bound solitons with bose-einstein condensate of neutral atoms. / Fujishima, Hironobu; Okumura, Masahiko; Mine, Makoto; Yajima, Tetsu.
In: Journal of the Physical Society of Japan, Vol. 81, No. 10, 104003, 10.2012.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Interference pattern formation between bound solitons and radiation in momentum space
T2 - Possible detection of radiation from bound solitons with bose-einstein condensate of neutral atoms
AU - Fujishima, Hironobu
AU - Okumura, Masahiko
AU - Mine, Makoto
AU - Yajima, Tetsu
PY - 2012/10
Y1 - 2012/10
N2 - We propose an indirect method for observing radiation from an incomplete soliton with a sufficiently large amplitude. We show that the radiation causes a notched structure on the envelope of the wave packet in the momentum space. The origin of this structure is the interference between the main body of oscillating solitons and the small radiation in the momentum space. We numerically integrate the nonlinear Schrödinger equation and perform Fourier transformation to confirm that the predicted structure really appears. We also show a simple model which reproduces the qualitative result. The experimental detection of the notched structure with the Bose-Einstein condensation of neutral atoms is discussed and suitable parameters for this detection experiment are shown.
AB - We propose an indirect method for observing radiation from an incomplete soliton with a sufficiently large amplitude. We show that the radiation causes a notched structure on the envelope of the wave packet in the momentum space. The origin of this structure is the interference between the main body of oscillating solitons and the small radiation in the momentum space. We numerically integrate the nonlinear Schrödinger equation and perform Fourier transformation to confirm that the predicted structure really appears. We also show a simple model which reproduces the qualitative result. The experimental detection of the notched structure with the Bose-Einstein condensation of neutral atoms is discussed and suitable parameters for this detection experiment are shown.
KW - Bose-Einstein condensation
KW - Interference
KW - Numerical analysis
KW - One-dimensional Gross-Pitaevskii equation
KW - One-dimensional nonlinear Schrödinger equation
KW - Radiation
UR - http://www.scopus.com/inward/record.url?scp=84867188350&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84867188350&partnerID=8YFLogxK
U2 - 10.1143/JPSJ.81.104003
DO - 10.1143/JPSJ.81.104003
M3 - Article
AN - SCOPUS:84867188350
VL - 81
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 10
M1 - 104003
ER -