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Emergent quantum phases in a heteronuclear molecular Bose–Einstein condensate model

Melissa Duncan, Angela Foerster, Jon Links +3 more

arXiv:quant-ph/0610244Nuclear Physics BJan 6, 200721 citations

Role of asymmetry in the geometric phase of a coupled atom-heteronuclear molecule system

Sheng-Chang Li, Li-Chen Zhao

\n\nWe investigate the role of asymmetry in the geometric phase of an ultracold bosonic atom-heteronuclear molecule system where the asymmetry denotes the particle-number imbalance between two atomic species. Based on the mean-field approach, we derive the analytical expression of the geometric phase and confirm it by our numerical simulations. It is found that the geometric phase strongly depends both on the atom-number imbalance and the nonlinear particle interaction. We show that the geometric phase can be dramatically enhanced by increasing the imbalance or the repulsive interaction strength. For the symmetric case, a discontinuous behavior for the first-order derivative of the ground-state geometric phase at a critical point is seen which gives a distinct signal of a phase transition from mixed atom-molecule phase to pure molecule phase. The virtual magnetic field interpretation for the geometric phase is also given.\n\n\nWe investigate the role of asymmetry in the geometric phase of an ultracold bosonic atom-heteronuclear molecule system where the asymmetry denotes the particle-number imbalance between two atomic species. Based on the mean-field approach, we derive the analytical expression of the geometric phase and confirm it by our numerical simulations. It is found that the geometric phase strongly depends both on the atom-number imbalance and the nonlinear particle interaction. We show that the geometric phase can be dramatically enhanced by increasing the imbalance or the repulsive interaction strength. For the symmetric case, a discontinuous behavior for the first-order derivative of the ground-state geometric phase at a critical point is seen which gives a distinct signal of a phase transition from mixed atom-molecule phase to pure molecule phase. The virtual magnetic field interpretation for the geometric phase is also given.\n

Europhysics Letters (EPL)Dec 1, 20131 citation

Geometric Phase in a Time-Dependent Bose-Fermi System

Zhao-Xian Yu, Zhi-Yong Jiao

International Journal of Theoretical PhysicsDec 22, 20090 citations

Dynamics of stimulated Raman atom-molecule conversion

P. I. Khadzhi, Зинган Анна Петровна

The dynamics of stimulated Raman atom-molecule conversion in a Bose-Einstein condensate, i.e., periodic or aperiodic coupling of two dissimilar Bose atoms into a heteronuclear molecule, has been studied. It is shown that the period and amplitude of oscillations in the molecular density significantly depend on the initial particle densities and phase differences.

Technical Physics LettersMay 1, 20111 citation

Features of stimulated atomic-molecular conversion with the formation of heteronuclear molecules in Bose-Einstein condensates

P. I. Khadzhi, Зинган Анна Петровна

The dynamics of optically stimulated atomic-molecular conversion in a Bose-Einstein condensate has been investigated, i.e., the periodic association of two unlike Bose atoms into a heteronuclear molecule followed by dissociation of the molecule into two atoms. It has been shown that the period and amplitude of the molecular density oscillations depend substantially on the initial particle densities and phase difference.

Journal of Experimental and Theoretical Physics LettersOct 1, 20102 citations

The geometric phase in two-level atomic systems

Ming Tian, Zeb W. Barber, Joe A. Fischer +1 more

Journal of LuminescenceJan 27, 20046 citations

Geometric Phase in a Time-Dependent Coupled Atom-Heteronuclear-Molecule Condensate

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