We investigate two-component boson systems by using their two individual average sizes and the distance between their centers as coordinates. We use zero-range interactions and include only relative $s$ waves. An effective potential is computed and discussed as a function of particle numbers and interaction strengths. Efimov conditions of two very large scattering lengths can arise if one component is a binary molecule. The corresponding atom-molecule interaction can then exhibit chaotic behavior. We present static and dynamic properties of an atom-molecule two-component system. We discuss the possible atom-molecule oscillations when all atoms are identical. The atomic number is then used as a collective coordinate and the cranking mass is computed. The collective oscillation frequency is estimated and compared with the trap frequency and the three-body recombination rate.We investigate two-component boson systems by using their two individual average sizes and the distance between their centers as coordinates. We use zero-range interactions and include only relative $s$ waves. An effective potential is computed and discussed as a function of particle numbers and interaction strengths. Efimov conditions of two very large scattering lengths can arise if one component is a binary molecule. The corresponding atom-molecule interaction can then exhibit chaotic behavior. We present static and dynamic properties of an atom-molecule two-component system. We discuss the possible atom-molecule oscillations when all atoms are identical. The atomic number is then used as a collective coordinate and the cranking mass is computed. The collective oscillation frequency is estimated and compared with the trap frequency and the three-body recombination rate.

Physical Review AAug 1, 20052 citations

Some features in multi-component Bose-Einstein condensates

Li-Hua Lü, You‐Quan Li

We give a brief description of theoretical studies on multi-component systems and detailed discussions on systems with atom-to-molecule conversion. The conversion of two species of atoms into stable molecules through the Feshbach resonance assisted by stimulated Raman adiabatic passage in photoassociation is studied with the help of mean-field Langrange density. The conversion efficiency is large for the fully bosonic system as well as the boson-fermion mixture as long as the general two-photon resonance condition is satisfied.We give a brief description of theoretical studies on multi-component systems and detailed discussions on systems with atom-to-molecule conversion. The conversion of two species of atoms into stable molecules through the Feshbach resonance assisted by stimulated Raman adiabatic passage in photoassociation is studied with the help of mean-field Langrange density. The conversion efficiency is large for the fully bosonic system as well as the boson-fermion mixture as long as the general two-photon resonance condition is satisfied.

Journal of Physics Conference SeriesSep 1, 20090 citations

Many-Body Boson Systems

André F. Verbeure

Theoretical and mathematical physicsNov 24, 201061 citations

We investigate two-component boson systems by using their two individual average sizes and the distance between their centers as coordinates. We use zero-range interactions and include only relative

s

waves. An effective potential is computed and discussed as a function of particle numbers and interaction strengths. Efimov conditions of two very large scattering lengths can arise if one component is a binary molecule. The corresponding atom-molecule interaction can then exhibit chaotic behavior. We present static and dynamic properties of an atom-molecule two-component system. We discuss the possible atom-molecule oscillations when all atoms are identical. The atomic number is then used as a collective coordinate and the cranking mass is computed. The collective oscillation frequency is estimated and compared with the trap frequency and the three-body recombination rate.