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Europhysics Letters (EPL)

A Continuous Beam of Circular Rydberg Atoms for Fundamental Tests and Applications in Metrology

A. Nussenzweig, Jean Hare, Aephraim M. Steinberg, L. Moi, M. Groß, S. Haroche

Published Apr 15, 1991• 23 citations
Publisher

Abstract

We have produced a continuous beam of circular Rydberg atoms. Using three-step c.w. laser excitation followed by an adiabatic microwave transfer, we have prepared circular-states of lithium with principal quantum numbers ranging from n = 26 to n = 30. The circular state beam flux was 2.6 · 10 6 atoms/s. This beam could be useful in high-precision measurements and fundamental cavity QED experiments.

DOI
10.1209/0295-5075/14/8/006

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•May 5, 2020•0 citations
We have produced a continuous beam of circular Rydberg atoms. Using three-step c.w. laser excitation followed by an adiabatic microwave transfer, we have prepared circular-states of lithium with principal quantum numbers ranging from n = 26 to n = 30. The circular state beam flux was 2.6 · 10 6 atoms/s. This beam could be useful in high-precision measurements and fundamental cavity QED experiments.
Circular atoms, i.e., Rydberg atoms with maximum angular momentum, are semiclassical atoms of great interest for Rydberg constant metrology and QED tests. Following a suggestion by Delande and Gay, we have prepared circular atoms by a new method, involving the adiabatic switching of crossed electric and magnetic fields. The method, which is demonstrated for Rydberg states of lithium (principal quantum number n=20to25n=20 \mathrm{to} 25n=20to25, is applicable over a wide variety of experiment conditions.
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 population of a beam of lithium atoms has been transferred from a low angular momentum Rydberg state to a state with $|m|=n\ensuremath{-}1$, with nearly 100% efficiency. Selective field ionization is employed to detect the high ∣m∣|m|∣m∣ state. Transfer occurs by a series of adiabatic rapid passages; it can also occur by a single multiphoton process.
Summary form only given. Condensed-matter systems are interesting and important to understand, for fundamental science as well as towards more applied objectives in the development of new materials for instance. Unfortunately, these many-body quantum systems are difficult to study: both the theoretical approach and the numerical simulation are proving impossible to carry out to relevant system sizes. Quantum simulation proposes to mimic those out-of-reach systems with more controllable and accessible quantum systems. Rydberg atoms gained renewed interest in the last decades thanks to their very high polarizability, allowing for strong and tunable short-range interactions. They constitute an interesting candidate for a quantum simulation platform. However, low angular momentum Rydberg states have limited, despite relatively long, lifetimes which limit the scope of such a quantum simulator. Moreover, low-l Rydberg states cannot be efficiently laser-trapped. In order to overcome these limitations, we propose to use circular Rydberg states, i.e., of maximum angular momentum. Circular Rydberg states exhibit much longer lifetimes, and can be trapped using laser light. By placing the circular Rydberg atoms inside a spontaneous emission-inhibiting capacitor, we hope to achieve the deterministic preparation of a 1D-chain of 40 atoms, with a collective lifetime of over 2 seconds. With expected exchange energies in the 10-100 kHz range, this would provide a platform capable of simulating quantum many-body physics up to 105exchange times. The first step towards the experimental realization of such a quantum simulator is the demonstration of the laser-trapping of circular Rydberg atoms. To this end, we use a Laguerre-Gauss hollow beam at 1064 nm, imposing a ponderomotive potential on the nearly-free electron of the Rydberg atoms. I will present our latest experimental results of light-trapping of circular Rydberg atoms.
The authors describe and analyse an RF-optical technique for exciting alkali atoms in an atomic beam to a specific high angular momentum Rydberg state. In the procedure the Rydberg states are dressed by an RF field and two optical photons are used to excite the dressed state that goes adiabatically into the desired Rydberg state as the RF field is turned off. They describe in detail the excitation of the aligned-circular-orbit states. The states have the maximum angular momentum quantum numbers for a given principal quantum number, and thus are the most nearly classical of all eigenstates. It is shown that in excess of 90% of the excited state population can be put into the aligned-circular-orbit state.
We propose a new paradigm for quantum simulation of spin-1/2 arrays, providing unprecedented flexibility and allowing one to explore domains that remain unexplored, based on laser-trapped circular Rydberg atoms. The long intrinsic atomic lifetimes, combined with the inhibition of their microwave spontaneous emission and their negligible photoionisation, make operation in the minute range realistic. The proposed simulator realizes an XXZ spin-1/2 Hamiltonian, with nearest-neighbour couplings ranging from a few to tens of kilohertz. All the model parameters can be dynamically tuned at will, making a large range of simulations accessible. Thus, the system evolution can be followed long enough to be relevant for ground-state adiabatic preparation and for the study of thermalization and disorder. In this thesis, as a first step towards the implementation of this quantum simulation scheme, we (i) demonstrate the preparation of cold circular Rydberg states in a 4,2 K cryogenic environment with optical access out of a cold atom cloud. Their lifetime reveals an effective microwave black-body temperature of 11±2 K. We (ii) assess the single qubit coherence time (268±5 μs) and lifetime (3,7±0,1 ms), and, finally, we (iii) demonstrate the laser trapping of circular Rydberg atoms to prove their negligible photoionisation at the timescale of 10 ms.