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Observation of resonant electric dipole-dipole interactions between cold Rydberg atoms using microwave spectroscopy

K. Afrousheh

Published Jan 1, 2006• 2 citations
OpenAlex

Abstract

I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, including any required final revisions, as accepted by my examiners. I understand that my thesis may be made electronically available to the public. ii This thesis reports the first observation of the resonant electric dipole-dipole interaction between cold Rydberg atoms using microwave spectroscopy, the observation of the magnetic field suppression of resonant interactions, and the development of a unique technique for precise magnetic field measurements. ARydbergstate(46d 5/2) of laser cooled 85 Rb atoms has been optically excited. A fraction of these atoms has been transferred to another Rydberg state (47p 3/2 or 45f 5/2,7/2) to introduce resonant electric dipole-dipole interactions. The line broadening of the two-photon 46d 5/2 − 47d 5/2 microwave transition due to the interaction of 46d 5/2 with 47p 3/2 or 45f 5/2,7/2 atoms has been used as a probe of the interatomic interactions. This experiment has been repeated with a DC magnetic field applied. The application of a weak magnetic field ( ≤ 0.6 G) has reduced

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Resonant electric dipole-dipole interactions between cold Rydberg atoms were observed using microwave spectroscopy. Laser-cooled 85Rb atoms in a magneto-optical trap were optically excited to 45d(5/2) Rydberg states using a pulsed laser. A microwave pulse transferred a fraction of these Rydberg atoms to the 46p(3/2) state. A second microwave pulse then drove atoms in the 45d(5/2) state to the 46d(5/2) state, and was used as a probe of interatomic interactions. The spectral width of this two-photon probe transition was found to depend on the presence of the 46p(3/2) atoms, and is due to the resonant electric dipole-dipole interaction between 45d(5/2) and 46p(3/2) Rydberg atoms.

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I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, including any required final revisions, as accepted by my examiners. I understand that my thesis may be made electronically available to the public. ii This thesis reports the first observation of the resonant electric dipole-dipole interaction between cold Rydberg atoms using microwave spectroscopy, the observation of the magnetic field suppression of resonant interactions, and the development of a unique technique for precise magnetic field measurements. ARydbergstate(46d 5/2) of laser cooled 85 Rb atoms has been optically excited. A fraction of these atoms has been transferred to another Rydberg state (47p 3/2 or 45f 5/2,7/2) to introduce resonant electric dipole-dipole interactions. The line broadening of the two-photon 46d 5/2 − 47d 5/2 microwave transition due to the interaction of 46d 5/2 with 47p 3/2 or 45f 5/2,7/2 atoms has been used as a probe of the interatomic interactions. This experiment has been repeated with a DC magnetic field applied. The application of a weak magnetic field ( ≤ 0.6 G) has reduced
Resonant electric dipole-dipole interactions between cold Rydberg atoms were observed using microwave spectroscopy. Laser-cooled 85Rb atoms in a magneto-optical trap were optically excited to 45d(5/2) Rydberg states using a pulsed laser. A microwave pulse transferred a fraction of these Rydberg atoms to the 46p(3/2) state. A second microwave pulse then drove atoms in the 45d(5/2) state to the 46d(5/2) state, and was used as a probe of interatomic interactions. The spectral width of this two-photon probe transition was found to depend on the presence of the 46p(3/2) atoms, and is due to the resonant electric dipole-dipole interaction between 45d(5/2) and 46p(3/2) Rydberg atoms.
I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, including any required final revisions, as accepted by my examiners. I understand that my thesis may be made electronically available to the public. ii In highly excited Rydberg atoms, the excited electron is in a large, loosely bound orbit. Hence, in contrast with the ground states, the Rydberg states are very sensitive to external electric field and can be ionized in rather weak fields. The low ionization threshold of Rydberg states results in effective state-specific detection by the selective field ionization technique. In this thesis, high-resolution spectroscopy of Rydberg states of Rubidium using millimeter wave transitions and selective field ionization has been used as a probe of external electric and magnetic fields. Laser cooling and trapping techniques in a magneto-optical trap (MOT) are employed to have a high density and narrow velocity distribution for the atomic sample. In this work the magnetic field inhomogeneity inherent in a MOT is minimized and the stray electric field present at the trap region is compensated in order to have resolved spectra.
Laser-cooled 85Rb^{85}\mathrm{Rb}85Rb atoms were optically excited to 46d5∕246{d}_{5∕2}46d5∕2​ Rydberg states. A microwave pulse transferred a fraction of the atoms to the 47p3∕247{p}_{3∕2}47p3∕2​ Rydberg state. The resonant electric dipole-dipole interactions between atoms in these two states were probed using the linewidth of the two-photon microwave transition $46{d}_{5∕2}\text{\ensuremath{-}}47{d}_{5∕2}$. The presence of a weak magnetic field $\ensuremath{\approx}0.5\phantom{\rule{0.3em}{0ex}}\mathrm{G}$ reduced the observed line broadening, indicating that the interaction is suppressed by the field. The field removes some of the energy degeneracies responsible for the resonant interaction, and this is the basis for a quantitative model of the resulting suppression. A technique for the calibration of magnetic field strengths using the $34{s}_{1∕2}\text{\ensuremath{-}}34{p}_{1∕2}$ one-photon transition is also presented.
This dissertation consists of three microwave spectroscopy experiments performed with cold Rb Rydberg atoms in Magneto Optical Trap.The first experiment is a systematic study of a particular type of transition which was first observed in 2012 that involves a pair of Rydberg atoms.In this transition, even though only one microwave photon is absorbed, both atoms in the pair change states.In particular, we describe the transition with the configuration interaction (CI) model and experimentally verify the scaling of fractional population transfer predicted by the CI model.The second experiment builds on the first experiment and reports observations of additional single and multi photon microwave transitions that are allowed due to the same CI as in the first experiment.The observations show clearly that this type of transition involving a pair of Rydberg atoms are a lot more common than initially thought.We show that the transitions can be conveniently described as Forster resonances of Floquet states.The last experiment reports on the technique we used to measure the ng and nh series quantum defects and the ionic dipole and quadrupole polarizabilities of 85 Rb.The technique allows us to obtain zero field intervals of (n + 1)d 5/2 → ng and (n + 1)d 5/2 → nh intervals despite the fact that we can only control the stray electric field in one direction.Using the technique, the quantum defects of ng and nh were determined to be 0.0039741(16) and 0.0014066(57), respectively.The ionic II dipole and quadrupole polarizabilities were determined to be 9.12(2)a 3 0 and 14(3)a 5 0 , respectively.
This thesis reports the use of both dc and ac electric fi eld induced resonant \nenergy transfer, RET, between cold Rydberg atoms as a useful tool for enhancement \nof interatomic interactions. A general technique for laser frequency stabilization and \nits suitability for Rydberg atom excitation is also demonstrated. \nRET between cold Rydberg atoms was used to determine Rydberg atom energy \nlevels. The ⁸⁵Rb atoms are laser cooled and trapped in a magneto-optical trap. \nFor energy level determination experiment, atoms were optically excited to 32d₅/₂ \nRydberg states. The two-atom process 32d₅/₂ + 32d₅/₂ → 34p₃/₂+30g is resonant at \nan electric fi eld of approximately 0.3 V/cm through dipole dipole interaction. The \nexperimentally observed resonant fi eld, together with the Stark map calculation is \nused to make a determination of the ⁸⁵Rb ng-series quantum defect to be ⵒg(n = \n30) = 0.00405(6). \nThe ac Stark eff ect was also used to induce RET between cold Rydberg atoms. \nWhen a 28.5 GHz dressing field was set at speci fic fi eld strengths, the two-atom \ndipole-dipole process 43d₅/₂ + 43d₅/₂ → 45p₃/₂ + 41f was dramatically enhanced, \ndue to induced degeneracy of the initial and final states. This method for enhancing \ninteractions is complementary to dc electric- field-induced RET, but has more \n \nflexibility due to the possibility of varying the applied frequency. At a dressing field \nof 28.5 GHz all of the participating levels (43d₅/₂, 45p₃/₂ and 41f) show signi cant \nshifts and these give a complicated series of resonances. An oscillating electric \nfi eld at 1.356 GHz was also used to promote the above RET process where the \natoms are initially excited to the 43d₅/₂ Rydberg states. The ac fi eld strength was \nscanned to collect RET spectra. Di fferent resonances were observed for diff erent \nmagnetic sublevels involved in the process. Compared to the higher dressing field \nfrequency of 28.5 GHz, the choice of dressing frequency of 1.356 GHz, which is \nslightly blue detuned from the 41f - 41g transition, and structure of the spectra \nmay be understood, by analogy with the dc field case.