Phase transition, entanglement and squeezing in a triple-well condensate
Institute of Physics “Gleb Wataghin”, University of Campinas - P. O. Box 6165, 13083-970, Campinas, SP, Brazil
Accepted: 6 April 2010
We provide an in-depth characterization of a three-mode Bose-Einstein condensate trapped in a symmetric circular triple-well potential. We show how the purity related to the su(3) algebra scales for increasing number of atoms and signals the quantum phase transition between two dynamical regimes in a specific configuration. This measure, which is intrinsically related to particle entanglement, also depicts if some squeezing is occurring when we consider the system's ground state. Unlike the well-known double-well model, the triple-well model exhibits a first-order quantum phase transition, which could be investigated with the current trapping technology.
PACS: 03.75.Lm – Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations / 03.67.Mn – Entanglement measures, witnesses, and other characterizations / 64.70.Tg – Quantum phase transitions
© EPLA, 2010