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Springer theses

Yttebium Atoms and Rydberg States

Yuma Nakamura

Published Jan 1, 2026• 0 citations
Publisher
DOI
10.1007/978-981-95-2836-3_3

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In order to investigate an interaction of an electromagnetic field with Rydberg atoms it is necessary to transfer atoms from ground state to Rydberg state with specified values of quantum numbers. The point is that for each chemical element the way of producing Rydberg atom atoms is strictly individual. In this paper Al atoms are transferred to Rydberg states by nF scheme using a system of lasers and frequency converters on nonlinear crystals. The Au atoms are brought to Rydberg state by three stages of laser excitation.
Intensity-modulated optical lattice potentials can change sign for an alkali-metal Rydberg atom, and the atoms are not always attracted to intensity minima in optical lattices with wavelengths near the CO2{}_{2}2​ laser band. Here we demonstrate that such IR lattices can be tuned so that the trapping potential experienced by the Rydberg atom can be made to vanish for atoms in ``targeted'' Rydberg states. Such state-selective trapping of Rydberg atoms can be useful in controlled cold Rydberg collisions, cooling Rydberg states, and species-selective trapping and transport of Rydberg atoms in optical lattices. We tabulate wavelengths at which the trapping potential vanishes for the nsnsns, npnpnp, and ndndnd Rydberg states of Na and Rb atoms and discuss advantages of using such optical lattices for state-selective trapping of Rydberg atoms. We also develop exact analytical expressions for the lattice-induced polarizability for the mz=0{m}_{z}=0mz​=0 Rydberg states and derive an accurate formula predicting tune-out wavelengths at which the optical trapping potential becomes invisible to Rydberg atoms in targeted l=0l=0l=0 states.
The performance of many control tasks with Rydberg atoms can be improved via suppression of the motion-induced dephasing between the ground state and Rydberg states of neutral atoms. This dephasing often occurs during the gap time when the atom is shelved in a Rydberg state before its deexcitation. This paper presents two theories about how to suppress this dephasing. First, by using laser fields to induce a specific extra phase change in the Rydberg state during the gap time, it is possible to faithfully transfer the Rydberg state back to the ground state after the gap. Although the Rydberg state transitions back and forth between different eigenstates during the gap time, it preserves the blockade interaction between the atom of interest and a nearby Rydberg excitation. This simple method of suppressing the motional dephasing of a flying Rydberg atom can be used in a broad range of methods of quantum control of neutral atoms. Second, we find that the motional dephasing can also be suppressed by using a transition in a ``V''-type dual-rail configuration. The left (right) arm of this ``V'' represents a transition to a Rydberg state ∣r1(2)⟩|{r}_{1(2)}⟩∣r1(2)​⟩ with a Rabi frequency $\mathrm{\ensuremath{\Omega}}{e}^{ikz}\phantom{\rule{0.2em}{0ex}}(\mathrm{\ensuremath{\Omega}}{e}^{\ensuremath{-}ikz})$, where zzz is frozen without atomic drift, but changes linearly in each experimental cycle. Such a configuration is equivalent to a transition between the ground state and a hybrid time-dependent Rydberg state with a Rabi frequency $\sqrt{2}\mathrm{\ensuremath{\Omega}}$, such that there is no phase error whenever the state returns to the ground state. We study two applications of the second theory: (i) it is possible to faithfully transfer the atomic state between a hyperfine ground state and Rydberg states ∣r1(2)⟩|{r}_{1(2)}⟩∣r1(2)​⟩ with no gap time between the excitation and deexcitation; and (ii) if infrared laser fields are added to induce a transition between ∣r1(2)⟩|{r}_{1(2)}⟩∣r1(2)​⟩ and a nearby Rydberg state ∣r3⟩|{r}_{3}⟩∣r3​⟩ via a greatly detuned low-lying intermediate state during the gap time, the atom can keep its internal state in the Rydberg level as well as adjust the population branching in ∣r1(2)⟩|{r}_{1(2)}⟩∣r1(2)​⟩ during the gap time. This allows an almost perfect Rydberg deexcitation after the gap time, making it possible to recover a high fidelity in a Rydberg blockade gate. These theories pave the way for high-fidelity quantum control over neutral Rydberg atoms without cooling qubits to motional ground states in optical traps.