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arXiv:1007.1898 · Physical Review A

Vibrational stabilization of ultracold KRb molecules: A comparative study

Mamadou Ndong, Christiane P. Koch

Published Oct 29, 2010• 28 citations
arXivHTMLPDF

Abstract

The transfer of weakly bound KRb molecules from levels just below the dissociation threshold into the vibrational ground state with shaped laser pulses is studied. Optimal control theory is employed to calculate the pulses. The complexity of modeling the molecular structure is successively increased in order to study the effects of the long-range behavior of the excited-state potential, resonant spin-orbit coupling, and singlet-triplet mixing.

DOI
10.1103/physreva.82.043437

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The transfer of weakly bound KRb molecules from levels just below the dissociation threshold into the vibrational ground state with shaped laser pulses is studied. Optimal control theory is employed to calculate the pulses. The complexity of modeling the molecular structure is successively increased in order to study the effects of the long-range behavior of the excited-state potential, resonant spin-orbit coupling, and singlet-triplet mixing.
In recent experiments on ultracold matter, molecules have been produced from ultracold atoms by photoassociation, Feshbach resonances, and three-body recombination. The created molecules are translationally cold, but vibrationally highly excited. This will eventually lead them to be lost from the trap due to collisions. We propose shaped laser pulses to transfer these highly excited molecules to their ground vibrational level. Optimal control theory is employed to find the light field that will carry out this task with minimum intensity. We present results for the sodium dimer. The final target can be reached to within 9999%99 provided the initial guess field is physically motivated. We find that the optimal fields contain the transition frequencies required by a good Franck-Condon pumping scheme. The analysis identifies the ranges of intensity and pulse duration which are able to achieve this task before any other competing processes take place. Such a scheme could produce stable ultracold molecular samples or even stable molecular Bose-Einstein condensates.
We present a theoretical study of the photostabilization of the ultracold Rb2 molecule by tailored laser fields. The simulations involve the ground and two excited electronic states, taking into account spin–orbit coupling, and are based on the full quantum mechanical optimal control theory. We demonstrate starting from a highly excited bound vibrational state that almost 100% population of the ground state v = 0 vibrational level can be achieved. The obtained optimal pulse has a long temporal and very broad spectral range. Our results reveal the mechanism of the photostabilization process and allow the proposal of new strategies for the formation of ultracold molecules taking into account the necessary constraints for possible experimental realization.
Photoassociation of two ultracold rubidium atoms and the subsequent formation of stable molecules in the singlet ground and lowest triplet states is investigated theoretically. The method employs laser pulses inducing transitions via excited states correlated to the 5S+5P1∕25S+5{P}_{1∕2}5S+5P1∕2​ asymptote. Weakly bound molecules in the singlet ground or lowest triplet state can be created by a single pulse while the formation of more deeply bound molecules requires a two-color pump-dump scenario. More deeply bound molecules in the singlet ground or lowest triplet state can be produced only if efficient mechanisms for both pump and dump steps exist. While long-range 1∕R31∕{R}^{3}1∕R3 potentials allow for efficient photoassociation, stabilization is facilitated by the resonant spin-orbit coupling of the 0u+{0}_{u}^{+}0u+​ states. Molecules in the singlet ground state bound by a few wave numbers can thus be formed. This provides a promising first step toward ground-state molecules which are ultracold in both translational and vibrational degrees of freedom.
We discuss the production of ultracold molecules in their electronic ground state by photoassociation employing electronically excited states with ion-pair character and strong spin-orbit interaction. A short photoassociation laser pulse drives a nonresonant three-photon transition for alkali-metal atoms colliding in their lowest triplet state. The excited-state wave packet is transferred to the ground electronic state by a second laser pulse, driving a resonant two-photon transition. After analyzing the transition matrix elements governing the stabilization step, we discuss the efficiency of population transfer using transform-limited and linearly chirped laser pulses. Finally, we employ optimal control theory to determine the most efficient stabilization pathways. We find that the stabilization efficiency can be increased by one and two orders of magnitude when using linearly chirped and optimally shaped laser pulses, respectively.
We present a theoretical study of the photostabilization of the ultracold Rb 2 molecule by tailored laser fields. The simulations involve the ground and two excited electronic states, taking into account spin–orbit coupling, and are based on the full quantum mechanical optimal control theory. We demonstrate starting from a highly excited bound vibrational state that almost 100% population of the ground state v = 0 vibrational level can be achieved. The obtained optimal pulse has a long temporal and very broad spectral range. Our results reveal the mechanism of the photostabilization process and allow the proposal of new strategies for the formation of ultracold molecules taking into account the necessary constraints for possible experimental realization.
Ultracold heteronuclear polar KRb molecules have enjoyed tremendous attention for many years now. The presence of a large molecule fixed dipole moment in the absolute rovibrational ground state (v''=0, J'' =0) makes external control very convenient, which opens up the prospect of studying various physical phenomenon in many areas of physics and chemistry. The methods used so far to produce the absolute ground state of KRb have involved very complicated techniques. Molecules formed in weakly bound levels were transferred to the absolute ground state through the multiple steps of transfer processes involving several lasers with extremely narrow linewidths. My thesis research demonstrates an alternate simpler method of formation of the lowest vibrational levels of the ground state utilizing PA combined with radiative decay, which has been so far useful to form ultracold molecules in the higher vibrational levels of the ground state. This thesis presents two main topics of research. The first part of the thesis consists of results describing the scheme which provides a single-step, continuous, and irreversible method of forming KRb molecules in their absolute ground state. The second topic involves spectroscopy on the two excited electronic states of KRb which may provide alternative pathways for the formation of the absolute ground state (X 1Σ+, (v''=0, J'' =0)) and suitable pathways for efficient formation of the lowest metastable state (a 3Σ+, (v''=0, N'' =0)). I believe this research will lay the foundation for many new exciting experiments in the future.