Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Determination of the Rb ng-series quantum defect by resonant energy transfer spectroscopy of cold Rydberg atoms

K. Afrousheh, J. D. D. Martin, Joseph A. Petrus, Parisa Bohlouli-Zanjani

Published Aug 18, 2006• 0 citations
OpenAlex

Abstract

Resonant energy transfer between cold Rydberg atoms was used to determine Rydberg atom energy levels, at precisions approaching those obtainable in microwave spectroscopy. Laser cooled Rb atoms from a magneto-optical trap were optically excited to 32d Rydberg states. The two-atom process 32d(j=5/2) + 32d(j=5/2) -> 34p(j=3/2) + 30g is resonant at an electric field of approximately 0.3 V/cm. This process is driven by the electric dipole-dipole interaction, which is allowed due to the partial f character that the g state acquires in an electric field. The experimentally observed resonant field, together with the Stark map calculation is used to make a determination of the Rb ng-series quantum defect: delta_g (n=30) = 0.00405(6).

Related papers

Determination of the Rb85 ng -series quantum defect by electric-field-induced resonant energy transfer between cold Rydberg atoms

K. Afrousheh, Parisa Bohlouli-Zanjani, Joseph A. Petrus +1 more

Resonant energy transfer between cold Rydberg atoms was used to determine Rydberg atom energy levels, at precisions approaching those obtainable in microwave spectroscopy. Laser cooled $^{85}\mathrm{Rb}$ atoms from a magneto-optical trap were optically excited to $32{d}_{5∕2}$ Rydberg states. The two-atom process $32{d}_{5∕2}+32{d}_{5∕2}\ensuremath{\rightarrow}34{p}_{3∕2}+30g$ is resonant at an electric field of approximately $0.3\phantom{\rule{0.3em}{0ex}}\mathrm{V}∕\mathrm{cm}$. This process is driven by the electric dipole-dipole interaction, which is allowed due to the partial $f$ character that the $g$ state acquires in an electric field. The experimentally observed resonant field, together with the Stark map calculation is used to make a determination of the $^{85}\mathrm{Rb}$ $ng$-series quantum defect ${\ensuremath{\delta}}_{g}(n=30)=0.00405(6)$.

arXiv:physics/0608198•Physical Review A•Dec 19, 2006•33 citations

Enhancement of Rydberg atom interactions using dc and ac Stark shifts

Parisa Bohlouli-Zanjani

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.

•May 19, 2010•1 citation

Spectroscopic Observation of Resonant Electric Dipole-Dipole Interactions between Cold Rydberg Atoms

K. Afrousheh, Parisa Bohlouli-Zanjani, D. Vagale +3 more

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.

arXiv:physics/0411076•Physical Review Letters•Nov 30, 2004•126 citations

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

K. Afrousheh

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

•Jan 1, 2006•2 citations

Microwave Transitions of Cold Rydberg Atom Pairs

Jeonghun Lee

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.

•Jul 13, 2017•0 citations

Measurement of the Rb g -series quantum defect using two-photon microwave spectroscopy

Kaitlin Moore, Alisher Duspayev, Ryan Cardman +1 more

We utilize two-photon, high-precision microwave spectroscopy of $ng\ensuremath{\rightarrow}(n+2)g$ transitions to precisely measure the high-angular-momentum $g$-series quantum defect of $^{85}\mathrm{Rb}$. Samples of cold Rydberg atoms in the $ng$ state are prepared via a three-photon optical excitation combined with controlled electric-field mixing and probed with 40-$\ensuremath{\mu}\mathrm{s}$-long microwave interaction pulses. The leading systematic uncertainty arises from DC Stark shifts, which is addressed by a cancellation of background electric fields in all three dimensions. From our measurements and an analysis of systematic uncertainties from DC and AC Stark shifts, van der Waals interactions, and microwave frequency calibration, we obtain ${\ensuremath{\delta}}_{0}=0.003\phantom{\rule{0.16em}{0ex}}999\phantom{\rule{0.16em}{0ex}}0(21)$ and ${\ensuremath{\delta}}_{2}=\ensuremath{-}0.0202(21)$. We discuss our results in context with recent work elsewhere, as well as applications towards precision measurement.

arXiv:2004.11407•Physical Review A•Dec 22, 2020•15 citations
Resonant energy transfer between cold Rydberg atoms was used to determine Rydberg atom energy levels, at precisions approaching those obtainable in microwave spectroscopy. Laser cooled Rb atoms from a magneto-optical trap were optically excited to 32d Rydberg states. The two-atom process 32d(j=5/2) + 32d(j=5/2) -> 34p(j=3/2) + 30g is resonant at an electric field of approximately 0.3 V/cm. This process is driven by the electric dipole-dipole interaction, which is allowed due to the partial f character that the g state acquires in an electric field. The experimentally observed resonant field, together with the Stark map calculation is used to make a determination of the Rb ng-series quantum defect: delta_g (n=30) = 0.00405(6).
Resonant energy transfer between cold Rydberg atoms was used to determine Rydberg atom energy levels, at precisions approaching those obtainable in microwave spectroscopy. Laser cooled 85Rb^{85}\mathrm{Rb}85Rb atoms from a magneto-optical trap were optically excited to 32d5∕232{d}_{5∕2}32d5∕2​ Rydberg states. The two-atom process $32{d}_{5∕2}+32{d}_{5∕2}\ensuremath{\rightarrow}34{p}_{3∕2}+30g$ is resonant at an electric field of approximately 0.3V∕cm0.3\phantom{\rule{0.3em}{0ex}}\mathrm{V}∕\mathrm{cm}0.3V∕cm. This process is driven by the electric dipole-dipole interaction, which is allowed due to the partial fff character that the ggg state acquires in an electric field. The experimentally observed resonant field, together with the Stark map calculation is used to make a determination of the 85Rb^{85}\mathrm{Rb}85Rb ngngng-series quantum defect ${\ensuremath{\delta}}_{g}(n=30)=0.00405(6)$.
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.
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 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
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.
We utilize two-photon, high-precision microwave spectroscopy of $ng\ensuremath{\rightarrow}(n+2)g$ transitions to precisely measure the high-angular-momentum ggg-series quantum defect of 85Rb^{85}\mathrm{Rb}85Rb. Samples of cold Rydberg atoms in the ngngng state are prepared via a three-photon optical excitation combined with controlled electric-field mixing and probed with 40-$\ensuremath{\mu}\mathrm{s}$-long microwave interaction pulses. The leading systematic uncertainty arises from DC Stark shifts, which is addressed by a cancellation of background electric fields in all three dimensions. From our measurements and an analysis of systematic uncertainties from DC and AC Stark shifts, van der Waals interactions, and microwave frequency calibration, we obtain ${\ensuremath{\delta}}_{0}=0.003\phantom{\rule{0.16em}{0ex}}999\phantom{\rule{0.16em}{0ex}}0(21)$ and ${\ensuremath{\delta}}_{2}=\ensuremath{-}0.0202(21)$. We discuss our results in context with recent work elsewhere, as well as applications towards precision measurement.