Quantum control of a single $\mathrm{H}_2^+$ molecular ion

Fuente: arXiv
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Bibliographic Details
Main Authors: Holzapfel, David, Schmid, Fabian, Schwegler, Nick, Stadler, Oliver, Stadler, Martin, Ferk, Alexander, Home, Jonathan P., Kienzler, Daniel
Format: Preprint
Published: 2024
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author Holzapfel, David
Schmid, Fabian
Schwegler, Nick
Stadler, Oliver
Stadler, Martin
Ferk, Alexander
Home, Jonathan P.
Kienzler, Daniel
author_facet Holzapfel, David
Schmid, Fabian
Schwegler, Nick
Stadler, Oliver
Stadler, Martin
Ferk, Alexander
Home, Jonathan P.
Kienzler, Daniel
contents Science is founded on the benchmarking of theoretical models against experimental measurements, with the challenge that for all but the simplest systems, the calculations required for high precision become extremely challenging. $\mathrm{H}_2^+$ is the simplest stable molecule, and its structure is calculable to high precision. However, studying $\mathrm{H}_2^+$ experimentally presents significant challenges: Standard control methods such as laser cooling are not applicable due to the long lifetimes of its rotational and vibrational states. Here we solve this issue by combining buffer gas cooling to quench the $\mathrm{H}_2^+$ rovibrational excitation with quantum logic operations between $\mathrm{H}_2^+$ and a co-trapped 'helper' ion to control the molecule's hyperfine structure. This enables us to perform pure quantum state preparation, coherent control, and non-destructive readout, which we use to demonstrate high-resolution microwave spectroscopy in the hyperfine structure of $\mathrm{H}_2^+$ with a precision of 2 Hz. Our results pave the way for high precision spectroscopy of $\mathrm{H}_2^+$ in both the microwave and optical domains. Due to the wide applicability of buffer gas cooling, our method provides a general tool for molecular ion species that are hard to control with quantum logic tools alone.
format Preprint
id arxiv_https___arxiv_org_abs_2409_06495
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum control of a single $\mathrm{H}_2^+$ molecular ion
Holzapfel, David
Schmid, Fabian
Schwegler, Nick
Stadler, Oliver
Stadler, Martin
Ferk, Alexander
Home, Jonathan P.
Kienzler, Daniel
Atomic Physics
Chemical Physics
Quantum Physics
Science is founded on the benchmarking of theoretical models against experimental measurements, with the challenge that for all but the simplest systems, the calculations required for high precision become extremely challenging. $\mathrm{H}_2^+$ is the simplest stable molecule, and its structure is calculable to high precision. However, studying $\mathrm{H}_2^+$ experimentally presents significant challenges: Standard control methods such as laser cooling are not applicable due to the long lifetimes of its rotational and vibrational states. Here we solve this issue by combining buffer gas cooling to quench the $\mathrm{H}_2^+$ rovibrational excitation with quantum logic operations between $\mathrm{H}_2^+$ and a co-trapped 'helper' ion to control the molecule's hyperfine structure. This enables us to perform pure quantum state preparation, coherent control, and non-destructive readout, which we use to demonstrate high-resolution microwave spectroscopy in the hyperfine structure of $\mathrm{H}_2^+$ with a precision of 2 Hz. Our results pave the way for high precision spectroscopy of $\mathrm{H}_2^+$ in both the microwave and optical domains. Due to the wide applicability of buffer gas cooling, our method provides a general tool for molecular ion species that are hard to control with quantum logic tools alone.
title Quantum control of a single $\mathrm{H}_2^+$ molecular ion
topic Atomic Physics
Chemical Physics
Quantum Physics
url https://arxiv.org/abs/2409.06495