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arXiv:0903.3202 · New Journal of Physics

Collisions of bosonic ultracold polar molecules in microwave traps

А. V. Avdeenkov

Published May 14, 2009• 10 citations
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Abstract

The collisions between linear polar molecules, trapped in a microwave field with circular polarization, are theoretically analyzed. The microwave trap suggested by DeMille et al (2004 Eur. Phys. J. D 31 375) seems to be rather advantageous in comparison with other traps. Here we have demonstrated that the microwave trap can provide successful evaporative cooling for polar molecules in a rather broad range of frequencies of the ac field. We suggest that not only ground-state polar molecules but also molecules in some other states can be safely trapped. But the state in which molecules can be safely loaded and trapped depends on the frequency of the ac field.

DOI
10.1088/1367-2630/11/5/055016

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The collisions between linear polar molecules, trapped in a microwave field with circular polarization, are theoretically analyzed. The microwave trap suggested by DeMille et al (2004 Eur. Phys. J. D 31 375) seems to be rather advantageous in comparison with other traps. Here we have demonstrated that the microwave trap can provide successful evaporative cooling for polar molecules in a rather broad range of frequencies of the ac field. We suggest that not only ground-state polar molecules but also molecules in some other states can be safely trapped. But the state in which molecules can be safely loaded and trapped depends on the frequency of the ac field.
The collisions between linear polar molecules, trapped in a microwave field with circular polarization, are theoretically analyzed. The microwave trap suggested by DeMille [1] seems to be rather advantageous in comparison with other traps. Here we have demonstrated that the microwave trap can provide a successful evaporative cooling for polar molecules in a rather broad range of frequencies of the AC-field. We suggested that not only ground state polar molecules but also molecules in some other states can be safely trapped. But the state in which molecules can be safely loaded and trapped depends on the frequency of the AC-field. 1 I.
The collisions at ultracold temperatures between 1Σ state diatomic polar molecules in a microwave field with a circular polarization are theoretically analyzed. We demonstrate the possibility of trapping polar molecules in the standing-wave electromagnetic field and a successful evaporative cooling not only for samples of molecules in their absolute ground states but in some rotationally excited states in the appropriate regions of frequencies of a field. Here we only discuss fermionic polar molecules at ultralow temperatures(1μK), considering RbK as a prototype.
Collisions at ultracold temperatures between ${}^{1}\phantom{\rule{-0.16em}{0ex}}\ensuremath{\Sigma}$-state diatomic polar molecules in a circularly polarized microwave field are theoretically analyzed. We demonstrate that elastic and inelastic collisions of polar molecules at ultracold temperatures are affected by an external microwave field and that they are enhanced at resonance frequencies. We show that the collision dynamics of polar molecules in a microwave field is largely determined by the long-range dipole-dipole interaction. Through this interaction, two polar molecules can resonantly exchange internal energy by undergoing a transition between neighboring rotational levels. This process may stabilize the system and enable the successive evaporative cooling of molecules. This paper discusses fermionic polar molecules at ultralow temperatures (1 $\ensuremath{\mu}$K).
We theoretically study collisions between ultracold polar $^{1}\mathrm{\ensuremath{\Sigma}}$ molecules that are polarized by microwave or static electric fields. We systematically study the dependence on field strength, microwave polarization, and detuning from rotational transitions. We calculate the loss in two-body collisions that is observable experimentally and compare with the results expected for purely first-order dipolar interactions. For ground-state molecules polarized by a static electric field, the dynamics are accurately described by first-order dipolar interactions. For microwave dressing, instead, resonant dipolar collisions dominate the collision process, in which molecules reorient along the intermolecular axis and interact with the full strength of the transition dipole. For red detuning, reorientation can only be suppressed at extreme Rabi frequencies. For blue detuned microwaves, resonant dipolar interactions dominate even for the highest Rabi frequencies, leading to microwave shielding for circular polarization and structured losses due to resonances for linear polarization. The results are presented numerically for fermionic 23Na40K^{23}\mathrm{Na}^{40}\mathrm{K}23Na40K and bosonic 23Na39K^{23}\mathrm{Na}^{39}\mathrm{K}23Na39K molecules.
We propose a mechanism to produce ultracold polar molecules with microwave fields. It converts trapped ultracold atoms into vibrationally excited molecules by a single microwave transition and entirely depends on the existence of a permanent dipole moment in the molecules. As opposed to production of molecules by photoassociation or magnetic-field Feshbach resonances, our method does not rely on properties of excited states or existence of Feshbach resonances. We determine conditions for optimal creation of polar molecules in vibrationally excited states of the ground-state potential by changing frequency and intensity of the microwave field. We also explore the possibility to produce vibrationally cold molecules by combining the microwave field with an optical Raman transition or by applying a microwave field to Feshbach molecules. The production mechanism is illustrated for KRb and RbCs.