Creating pentamer molecules by generalized stimulated Raman adiabatic passage

Abstract

We study the formation of stable homonuclear and heteronuclear pentamers from ultracold atoms via a generalized stimulated Raman adiabatic passage scheme. The atom-molecule dark-state solutions for the system are obtained, and the linear instability and the adiabatic fidelity of the dark state are investigated. We also discuss the effects of external field parameters on the conversion efficiency.

Formation ofN-body polymer molecules through generalized stimulated Raman adiabatic passage

“…This means the stable formation of polymers is always possible by optimizing the parameters of the system. Furthermore, we find that the dependence of the conversion efficiency on the other external field parameters is similar to the case of the pentamers [44]. Stable creation of polymers is always possible for red detuning (δ < 0), whereas for blue detuning (δ > 0) the final conversion efficiency is very small.…”

“…We choose λ = 1.961 × 10 4 s −1 and the atom density n = 6 × 10 19 m −3 . This gives rise to the parameters χ aa = 0.182λ,χ bb = 0.074λ, and other interaction parameters are taken as 0.055λ [44]. We note that the time is in units of 1/λ and all other coefficients are in units of λ.…”

“…We neglect the particle loss by taking γ = 0 for calculating the CPT solution but include it by taking the decay parameter γ = 1.0 for the numerical result. In fact, the adiabatic evolution of our system can be thoroughly studied quantitatively by employing the adiabatic fidelity [44,51,52], which describes the distance between the adiabatic solution and the actual one. Here we define the adiabatic fidelity of the CPT state for atom-polymer conversion systems as…”

“…Clusters with up to N = 40 atoms have been investigated, and the scattering-length values at which successive N -boson systems cross the corresponding atomic threshold have been calculated [41]. With the help of three-and four-body ER and PA, the generalized STIRAP scheme has been applied to forming the homonuclear and heteronuclear tetramer [43] and pentamer [44] molecules. One could easily be tempted to extend this technique to creating more complex ultracold N -body polyatomic molecules.…”

Classical-quantum correspondence in bosonic two-mode conversion systems: Polynomial algebras and Kummer shapes

“…Here we extend the work in [1] to more general conversion systems, where m molecules of type A can form n molecules of type B and vice versa, conserving the total number of particles. The corresponding Hamiltonian discussed in the subsequent section models, e.g., polyatomic homonuclear molecular BECs [11,28,29], however, in addition to these applications in cold atom physics, it also describes other systems of interest in different areas of physics, as for example higher order harmonic gen- * Electronic address: korsch@physik.uni-kl.de eration, multiphoton processes, frequency conversion or, quite generally, the superposition of two harmonic oscillators.…”