Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Optics Communications

Formation of dark state in coupled atomic-molecular Bose–Einstein condensates with an external potential

Xiao-Fei Zhang, Biao Li, Junchao Chen, Shougang Zhang, W.M. Liu

Published Nov 29, 2012• 0 citations
Publisher
DOI
10.1016/j.optcom.2012.11.029

Related papers

Stability and collapse of a coupled Bose–Einstein condensate

Sadhan K. Adhikari

arXiv:cond-mat/0109247•Physics Letters A•Mar 1, 2001•18 citations

Exact dark state solutions of the coupled atomic-molecular Bose-Einstein condensates in an external potential

Xiao-Fei Zhang, Junchao Chen, Biao Li +2 more

We consider a coupled nonlinear Schrödinger equations describing an atomic Bose-Einstein condensates coupled to a molecular condensates through the stimulated Raman adiabatic passage loaded in an external potential. The existence of dark state are investigated within the full parameter space accounts for all the nonlinear collisions, together with the atom-molecule conversion coupling and external potential. The results show that there are a class of external potentials such as double-well, periodical and double periodical, and harmonic potentials, where the exact dark solutions can be formed. Our results may raise the possibility of relative experiments for dark state in the coupled atomic-molecular Bose-Einstein condensates.

arXiv:1108.5000•Aug 25, 2011•0 citations

Inhomogeneous dark states of atomic-molecular Bose-Einstein condensates in trapping potentials

Hector Cruz, V. V. Konotop

We investigate possibilities of existence of inhomogeneous dark states of atomic-molecular Bose-Einstein condensates loaded in trap potentials. The system is described by three-coupled equations of the Gross-Pitaevskii type, which account for contributions of the kinetic energy, two-body interactions, and an external potential, and which govern the conversion between atoms and molecules in the stimulated Raman adiabatic passage. We report a class of trapping potentials allowing for the existence of localized stable dark states. The respective atomic and molecular distributions are computed, and their stability and dynamics are discussed.

Physical Review A•Mar 3, 2011•4 citations

Dynamical formation of a Bose–Einstein condensate

R. Lacaze, Pierre Lallemand, Yves Pomeau A +1 more

Physica D Nonlinear Phenomena•May 1, 2001•90 citations

Formation of combined solitons in two-component Bose–Einstein condensates

Qiuyan Li, Zai-Dong Li, Yao Shu-Fang +2 more

We investigate the combined soliton solutions of two-component Bose–Einstein condensates with external potential. The "phase diagram" is obtained for the formation regions of different combined solitons. Our results show that the intraspecies (interspecies) interaction strengths and the external trapped potential clearly affect the formation of dark-dark, bright-bright, and dark–bright soliton solutions in different regions. Especially, we find that the bright–bright (dark–dark) soliton can exist in the case of both repulsive (attractive) intraspecies interaction strengths in the presence of external potential. This novel phenomenon is completely different from the formation of soliton solution of one-component Bose–Einstein condensates without external potential, and it will be useful for the study of two-component Bose–Einstein condensates.

Chinese Physics B•Aug 1, 2010•12 citations

Bose-Einstein condensation of ideal Bose gases under external conditions

Chapman & Hall/CRC eBooks•Dec 13, 2001•0 citations
We consider a coupled nonlinear Schrödinger equations describing an atomic Bose-Einstein condensates coupled to a molecular condensates through the stimulated Raman adiabatic passage loaded in an external potential. The existence of dark state are investigated within the full parameter space accounts for all the nonlinear collisions, together with the atom-molecule conversion coupling and external potential. The results show that there are a class of external potentials such as double-well, periodical and double periodical, and harmonic potentials, where the exact dark solutions can be formed. Our results may raise the possibility of relative experiments for dark state in the coupled atomic-molecular Bose-Einstein condensates.
We investigate possibilities of existence of inhomogeneous dark states of atomic-molecular Bose-Einstein condensates loaded in trap potentials. The system is described by three-coupled equations of the Gross-Pitaevskii type, which account for contributions of the kinetic energy, two-body interactions, and an external potential, and which govern the conversion between atoms and molecules in the stimulated Raman adiabatic passage. We report a class of trapping potentials allowing for the existence of localized stable dark states. The respective atomic and molecular distributions are computed, and their stability and dynamics are discussed.
We investigate the combined soliton solutions of two-component Bose–Einstein condensates with external potential. The "phase diagram" is obtained for the formation regions of different combined solitons. Our results show that the intraspecies (interspecies) interaction strengths and the external trapped potential clearly affect the formation of dark-dark, bright-bright, and dark–bright soliton solutions in different regions. Especially, we find that the bright–bright (dark–dark) soliton can exist in the case of both repulsive (attractive) intraspecies interaction strengths in the presence of external potential. This novel phenomenon is completely different from the formation of soliton solution of one-component Bose–Einstein condensates without external potential, and it will be useful for the study of two-component Bose–Einstein condensates.