Sensitive detection of the Rydberg transition in trapped electrons on liquid helium using radio-frequency reflectometry

Fuente: arXiv
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Main Authors: Lin, Jui-Yin, Tani, Tomoyuki, Belianchikov, Mikhail, Konstantinov, Denis
Format: Preprint
Published: 2025
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author Lin, Jui-Yin
Tani, Tomoyuki
Belianchikov, Mikhail
Konstantinov, Denis
author_facet Lin, Jui-Yin
Tani, Tomoyuki
Belianchikov, Mikhail
Konstantinov, Denis
contents Radio-frequency reflectometry, which probes small changes in the electrical impedance of a device, provides a useful method for sensitive and fast detection of dynamic processes in quantum systems. We use this method to detect excitation of the quantized motional (Rydberg) states of trapped electrons on liquid helium. The Rydberg transition in an ensemble of electrons is detected by a change in the impedance of an rf circuit coupled to the microwave-excited electrons. To elucidate the origin of the observed response, the result is compared with an independent impedance measurement on the same electron system modulated by an electrostatic potential and with a numerical simulation using the Green's function method. Additionally, it is found that the rf response to the Rydberg resonance can be strongly enhanced by a resonant mode of the electron collective motion. Our results suggest that the observed response to the Rydberg resonance must be attributed to the lateral motion of the many-electron system rather than the vertical displacement of the individually excited electrons, as was explicate earlier. A theoretical analysis of the expected response due to the vertical displacement is given.
format Preprint
id arxiv_https___arxiv_org_abs_2510_22615
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Sensitive detection of the Rydberg transition in trapped electrons on liquid helium using radio-frequency reflectometry
Lin, Jui-Yin
Tani, Tomoyuki
Belianchikov, Mikhail
Konstantinov, Denis
Mesoscale and Nanoscale Physics
Quantum Physics
Radio-frequency reflectometry, which probes small changes in the electrical impedance of a device, provides a useful method for sensitive and fast detection of dynamic processes in quantum systems. We use this method to detect excitation of the quantized motional (Rydberg) states of trapped electrons on liquid helium. The Rydberg transition in an ensemble of electrons is detected by a change in the impedance of an rf circuit coupled to the microwave-excited electrons. To elucidate the origin of the observed response, the result is compared with an independent impedance measurement on the same electron system modulated by an electrostatic potential and with a numerical simulation using the Green's function method. Additionally, it is found that the rf response to the Rydberg resonance can be strongly enhanced by a resonant mode of the electron collective motion. Our results suggest that the observed response to the Rydberg resonance must be attributed to the lateral motion of the many-electron system rather than the vertical displacement of the individually excited electrons, as was explicate earlier. A theoretical analysis of the expected response due to the vertical displacement is given.
title Sensitive detection of the Rydberg transition in trapped electrons on liquid helium using radio-frequency reflectometry
topic Mesoscale and Nanoscale Physics
Quantum Physics
url https://arxiv.org/abs/2510.22615