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arXiv:1402.7217 · Physical Review A

Manipulating Rydberg atoms close to surfaces at cryogenic temperatures

T. Thiele, Stefan Filipp, Josef A. Agner, Hansjürg Schmutz, Johannes Deiglmayr, M. Stammeier, Pitt Allmendinger, Frédéric Merkt, Andreas J. Wallraff

Published Jul 14, 2014• 41 citations
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Abstract

Helium atoms in Rydberg states have been manipulated coherently with microwave radiation pulses near a gold surface and near a superconducting NbTiN surface at a temperature of $3\phantom{\rule{0.28em}{0ex}}\mathrm{K}$. The experiments were carried out with a skimmed supersonic beam of metastable ${(1s)}^{1}{(2s)}^{1}\phantom{\rule{0.28em}{0ex}}{}^{1}{S}_{0}$ helium atoms excited with laser radiation to $np$ Rydberg levels with principal quantum number $n$ between 30 and 40. The separation between the cold surface and the center of the collimated beam is adjustable down to $250\phantom{\rule{0.28em}{0ex}}\ensuremath{\mu}\mathrm{m}$. Short-lived $np$ Rydberg states were coherently transferred to the long-lived $ns$ state to avoid radiative decay of the Rydberg atoms between the photoexcitation region and the region above the cold surfaces. Further coherent manipulation of the $ns$ Rydberg states with pulsed microwave radiation above the surfaces enabled measurements of stray electric fields and allowed us to study the decoherence of the atomic ensemble. Adsorption of residual gas onto the surfaces and the resulting slow buildup of stray fields was minimized by controlling the temperature of the surface and monitoring the partial pressures of ${\mathrm{H}}_{2}\mathrm{O}$, ${\mathrm{N}}_{2}$, ${\mathrm{O}}_{2}$, and $\mathrm{C}{\mathrm{O}}_{2}$ in the experimental chamber during the cool-down procedure. Compensation of the stray electric fields to levels below $100\phantom{\rule{0.28em}{0ex}}\mathrm{mV}/\mathrm{cm}$ was achieved over a region of $6\phantom{\rule{0.28em}{0ex}}\mathrm{mm}$ along the beam-propagation direction which, for the $1770\text{-m}/\mathrm{s}$ beam velocity, implies the possibility to preserve the coherence of the atomic sample for several microseconds above the cold surfaces.

DOI
10.1103/physreva.90.013414

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Helium atoms in Rydberg states have been manipulated coherently with microwave radiation pulses near a gold surface and near a superconducting NbTiN surface at a temperature of 3K3\phantom{\rule{0.28em}{0ex}}\mathrm{K}3K. The experiments were carried out with a skimmed supersonic beam of metastable (1s)1(2s)11S0{(1s)}^{1}{(2s)}^{1}\phantom{\rule{0.28em}{0ex}}{}^{1}{S}_{0}(1s)1(2s)11S0​ helium atoms excited with laser radiation to npnpnp Rydberg levels with principal quantum number nnn between 30 and 40. The separation between the cold surface and the center of the collimated beam is adjustable down to 250\ensuremathμm250\phantom{\rule{0.28em}{0ex}}\ensuremath{\mu}\mathrm{m}250\ensuremathμm. Short-lived npnpnp Rydberg states were coherently transferred to the long-lived nsnsns state to avoid radiative decay of the Rydberg atoms between the photoexcitation region and the region above the cold surfaces. Further coherent manipulation of the nsnsns Rydberg states with pulsed microwave radiation above the surfaces enabled measurements of stray electric fields and allowed us to study the decoherence of the atomic ensemble. Adsorption of residual gas onto the surfaces and the resulting slow buildup of stray fields was minimized by controlling the temperature of the surface and monitoring the partial pressures of H2O{\mathrm{H}}_{2}\mathrm{O}H2​O, N2{\mathrm{N}}_{2}N2​, O2{\mathrm{O}}_{2}O2​, and CO2\mathrm{C}{\mathrm{O}}_{2}CO2​ in the experimental chamber during the cool-down procedure. Compensation of the stray electric fields to levels below 100mV/cm100\phantom{\rule{0.28em}{0ex}}\mathrm{mV}/\mathrm{cm}100mV/cm was achieved over a region of 6mm6\phantom{\rule{0.28em}{0ex}}\mathrm{mm}6mm along the beam-propagation direction which, for the 1770-m/s1770\text{-m}/\mathrm{s}1770-m/s beam velocity, implies the possibility to preserve the coherence of the atomic sample for several microseconds above the cold surfaces.
Electric Rydberg-atom interferometry has been performed with helium atoms in coherent superpositions of the 1s56s3S11s56s\phantom{\rule{0.16em}{0ex}}^{3}S_{1}1s56s3S1​ and 1s57s3S11s57s\phantom{\rule{0.16em}{0ex}}^{3}S_{1}1s57s3S1​ Rydberg levels. The experiments were carried out in a longitudinal geometry with the atoms traveling at 2000 m/s in pulsed supersonic beams. After laser photoexcitation from the 1s2s3S11s2s\phantom{\rule{0.16em}{0ex}}^{3}S_{1}1s2s3S1​ metastable level, coherent manipulation of the population of the Rydberg states was achieved using sequences of microwave pulses. The difference in the static electric dipole polarizabilities of the 1s56s3S11s56s\phantom{\rule{0.16em}{0ex}}^{3}S_{1}1s56s3S1​ and 1s57s3S11s57s\phantom{\rule{0.16em}{0ex}}^{3}S_{1}1s57s3S1​ levels allowed superpositions of external momentum states to be generated when inhomogeneous electric fields were used to exerted forces on the atoms prepared in superpositions of these internal states. Interference fringes, with contributions arising from the spatial separation of these Rydberg-atom wave packets in the direction of propagation of the atomic beam, were identified through changes in the internal-state populations as the magnitudes and durations of the time-dependent electric-field gradient pulses were adjusted. The maximal displacement of the atomic wave packets for which interference fringes were observed was $\ensuremath{\sim}0.75\phantom{\rule{0.28em}{0ex}}\mathrm{nm}$, limited by the longitudinal velocity spread in the atomic beam and the characteristics of the inhomogeneous electric-field distribution in the apparatus. The experimental data are in good quantitative agreement with the results of numerical calculations of the time evolution of the atomic states under the experimental conditions.
Helium atoms travelling in pulsed supersonic beams have been photoexcited from the metastable 1s2s 3 S 1 level to Rydberg states with principal quantum numbers exceeding 400 by resonance-enhanced two-colour two-photon excitation using narrow-bandwidth CW laser radiation. To achieve this, the photoexcitation region was shielded and stray electric fields cancelled using a cubic arrangement of 80 mm × 80 mm copper plates. The excited Rydberg atoms were detected by pulsed electric field ionisation downstream from this photoexcitation region. Comparison of the experimental spectra with the results of calculations indicate that the stray electric fields at the position of Rydberg state photoexcitation were reduced to as low as 160 μ V cm –1 . Using helium in these experiments minimises temporal changes in the stray fields resulting from surface adsorption. Measurements performed 70 h apart indicate that the rate of change of these fields was on the order of 2 μ V cm –1 per h, making beams of metastable helium atoms ideally suited as probes for high precision electrometry in spectroscopy experiments involving less readily available species such as positronium or antihydrogen.
The ability to characterize static and time-dependent electric fields in situ is an important prerequisite for quantum-optics experiments with atoms close to surfaces. Especially in experiments which aim at coupling Rydberg atoms to the near field of superconducting circuits, the identification and subsequent elimination of sources of stray fields are crucial. We present a technique that allows the determination of stray-electric-field distributions $[{F}_{\mathrm{x}}^{\mathrm{str}}(\stackrel{P\vec}{r}),{F}_{\mathrm{y}}^{\mathrm{str}}(\stackrel{P\vec}{r}),{F}_{\mathrm{z}}^{\mathrm{str}}(\stackrel{P\vec}{r})]$ at distances of less than 2 mm from (cryogenic) surfaces using coherent Rydberg-Stark spectroscopy in a pulsed supersonic beam of metastable 1s12s11S01{s}^{1}2{s}^{1}{}^{1}{S}_{0}1s12s11S0​ helium atoms. We demonstrate the capabilities of this technique by characterizing the electric stray field emanating from a structured superconducting surface. Exploiting coherent population transfer with microwave radiation from a coplanar waveguide, the same technique allows the characterization of the microwave-field distribution above the surface.
Circular Rydberg states with n=70n=70n=70 have been prepared in helium using a modified version of the crossed-fields method. This approach to the preparation of high-nnn circular Rydberg states overcomes limitations of the standard crossed-fields method which arise at this, and higher, values of nnn. The experiments were performed with atoms traveling in pulsed supersonic beams that were initially laser photoexcited from the metastable 1s2s3S11s2s\phantom{\rule{0.16em}{0ex}}^{3}S_{1}1s2s3S1​ level to the 1s73s3S11s73s\phantom{\rule{0.16em}{0ex}}^{3}S_{1}1s73s3S1​ level by resonance-enhanced two-color two-photon excitation in a magnetic field of 16.154 G. These excited atoms were then polarized using a perpendicular electric field of 0.844 V/cm, and transferred by a pulse of microwave radiation to the state that, when adiabatically depolarized, evolves into the n=70n=70n=70 circular state in zero electric field. The excited atoms were detected by state-selective electric field ionization. Each step of the circular state preparation process was validated by comparison with the calculated atomic energy-level structure in the perpendicular electric and magnetic fields used. Of the atoms initially excited to the 1s73s3S11s73s\phantom{\rule{0.16em}{0ex}}^{3}S_{1}1s73s3S1​ level, $\ensuremath{\sim}80%$ were transferred to the n=70n=70n=70 circular state. At these high values of $n, \mathrm{\ensuremath{\Delta}}n=1$ circular-to-circular Rydberg state transitions occur at frequencies below 20 GHz. Consequently, atoms in these states, and the circular state preparation process presented here, are well suited to hybrid cavity QED experiments with Rydberg atoms and superconducting microwave circuits.
The coherent interaction between ensembles of helium Rydberg atoms and microwave fields in the vicinity of a solid-state coplanar waveguide is reported. Rydberg-Rydberg transitions, at frequencies between 25 and 38 GHz, have been studied for states with principal quantum numbers in the range 30-35 by selective electric-field ionization. An experimental apparatus cooled to 100 K was used to reduce effects of blackbody radiation. Inhomogeneous, stray electric fields emanating from the surface of the waveguide have been characterized in frequency- and time-resolved measurements and coherence times of the Rydberg atoms on the order of 250 ns have been determined. These results represent a key element in the development of an experimental architecture to interface Rydberg atoms with solid-state devices.
Rydberg helium atoms traveling in pulsed supersonic beams have been coupled to microwave fields in a superconducting coplanar waveguide (CPW) resonator. The atoms were initially prepared in the 1s55s ^{3}S_{1} Rydberg level by two-color two-photon laser excitation from the metastable 1s2s ^{3}S_{1} level. Two-photon microwave transitions between the 1s55s ^{3}S_{1} and 1s56s ^{3}S_{1} levels were then driven by the 19.556 GHz third-harmonic microwave field in a quarter-wave CPW resonator. This superconducting microwave resonator was fabricated from niobium nitride on a silicon substrate and operated at temperatures between 3.65 and 4.30 K. The populations of the Rydberg levels in the experiments were determined by state-selective pulsed electric field ionization. The coherence of the atom-resonator coupling was studied by time-domain measurements of Rabi oscillations.