https://doi.org/10.1140/epjd/e2004-00098-x
Quantum coherent tunneling between two atomic-molecular Bose-Einstein condensates
1
Physical-Technical Institute, Uzbek Academy of Sciences 700084,
Tashkent-84, G.Mavlyanov str. 2-b, Uzbekistan
2
Instituto de Física Teórica, Universidade Estadual Paulista, Rua Pamplona 145,
01405-900 Sõ Paulo, Brazil
Corresponding author: a fatkh@physic.uzsci.net
Received:
15
May
2003
Revised:
22
May
2004
Published online:
10
August
2004
We study the quantum coherent tunneling dynamics of two weakly coupled atomic-molecular Bose-Einstein condensates (AMBEC). A weak link is supposed to be provided by a double-well trap. The regions of parameters where the macroscopic quantum localization of the relative atomic population occurs are revealed. The different dynamical regimes are found depending on the value of nonlinearity, namely, coupled oscillations of population imbalance of atomic and molecular condensate, including irregular oscillations regions, and macroscopic quantum self trapping regimes. Quantum means and quadrature variances are calculated for population of atomic and molecular condensates and the possibility of quadrature squeezing is shown via stochastic simulations within P-positive phase space representation method. Linear tunnel coupling between two AMBEC leads to correlations in quantum statistics.
PACS: 03.75.-b – Matter waves / 03.75.Gg – Entanglement and decoherence in Bose-Einstein condensates / 03.75.Lm – Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices and topological excitations / 05.30.Jp – Boson systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004