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Generation of a single-ion large oscillator

Takashi Mukaiyama

Published Nov 1, 2021• 0 citations
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Generation of a single-ion large oscillator

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We demonstrate the generation of a trapped ion oscillator with a scale of $10\phantom{\rule{0.28em}{0ex}}\ensuremath{\mu}\mathrm{m}$ via fast trap center displacement. Applying an offset voltage to the ion trap electrode helps achieve a displacement of the trap center within the timescale of 5 ns. The fluorescence dynamics of the ion is analyzed after the displacement to estimate the oscillation amplitude. The realized trap displacement is seven times larger than that achieved in previous work. Thus, this result is an important step toward the realization of a gyroscope using a single trapped ion.

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The usually employed methods of using spin states of atomic-like systems for quantum information encoding [1,2] suffer from scalability issues. For example, it becomes very challenging to control a large number of trapped atomic ions each representing a physical qubit. The alternative approach would be to exploit the large Hilbert space provided by a near-harmonic trapping potential and encode the information in the oscillator states [3,4]. We use sideband-resolved addressing of motional states in a single trapped171Yb+ion to demonstrate a conditional beam splitter gate. The conditional beam splitter (CBS) Hamiltonian |e〉〈e|(a†b + ab†) swaps the quantum states of two motional modes of a trapped ion, conditioned on the ion's internal state. It thus can be viewed as a SWAP gate and we uilize it to demonstrate SWAP tests, implement single shot parity measurements, and generate maximally entangled NOON states of motion (see Figure 1).

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We demonstrate the generation of a trapped ion oscillator with a scale of $10\phantom{\rule{0.28em}{0ex}}\ensuremath{\mu}\mathrm{m}$ via fast trap center displacement. Applying an offset voltage to the ion trap electrode helps achieve a displacement of the trap center within the timescale of 5 ns. The fluorescence dynamics of the ion is analyzed after the displacement to estimate the oscillation amplitude. The realized trap displacement is seven times larger than that achieved in previous work. Thus, this result is an important step toward the realization of a gyroscope using a single trapped ion.
The usually employed methods of using spin states of atomic-like systems for quantum information encoding [1,2] suffer from scalability issues. For example, it becomes very challenging to control a large number of trapped atomic ions each representing a physical qubit. The alternative approach would be to exploit the large Hilbert space provided by a near-harmonic trapping potential and encode the information in the oscillator states [3,4]. We use sideband-resolved addressing of motional states in a single trapped171Yb+ion to demonstrate a conditional beam splitter gate. The conditional beam splitter (CBS) Hamiltonian |e〉〈e|(a†b + ab†) swaps the quantum states of two motional modes of a trapped ion, conditioned on the ion's internal state. It thus can be viewed as a SWAP gate and we uilize it to demonstrate SWAP tests, implement single shot parity measurements, and generate maximally entangled NOON states of motion (see Figure 1).