Demkov-Kunike model in cold molecule formation

Abstract

We study the dynamics of cold molecule formation via photo- or magneto-association of quantum degenerate atomic gases for the case when the field configuration is defined by the quasi-linear level crossing Demkov-Kunike model, which is characterized by a bell-shaped pulse and finite variation of the frequency detuning. We generalize the approach developed for the Landau-Zener model and propose a cubic polynomial equation for the asymptotic transition probability at infinity applicable in the large detuning regime of the interaction process. The proposed approximation applies to all values of the Rabi frequency; hence, it presents a unified description of previously noticed weak, moderate, and strong interaction limits of the fast sweep regime. This cubic equation for the transition probability provides improvement of previous results by an order of the magnitude.

References in corpus (9)

• Towards a Landau-Zener formula for an interacting Bose-Einstein condensate
• Many body generalization of the Landau Zener problem
• Many-body effects on adiabatic passage through Feshbach resonances
• Dynamics of a many-particle Landau-Zener model: inverse sweep
• Production efficiency of Feshbach molecules in fermion systems
• Two strong nonlinearity regimes in cold molecule formation
• Generalized formula for the Landau-Zener transition in interacting Bose-Einstein condensates
• Demkov-Kunike model for cold atom association: weak interaction regime
• Dynamical projection of atoms to Feshbach molecules at strong coupling

Cited by in corpus (1)

• A Schrödinger potential involving $x^{\frac{2}{3}}$ and centrifugal-barrier terms conditionally integrable in terms of the confluent hypergeometric functions