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Quantum simulation of the dynamical Casimir effect with trapped ions

Trautmann, N. ; Hauke, P. (2023)
Quantum simulation of the dynamical Casimir effect with trapped ions.
In: New Journal of Physics, 2016, 18 (4)
doi: 10.26083/tuprints-00020591
Article, Secondary publication, Publisher's Version

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Abstract

Quantum vacuum fluctuations are a direct manifestation of Heisenberg’s uncertainty principle. The dynamical Casimir effect (DCE) allows for the observation of these vacuum fluctuations by turning them into real, observable photons. However, the observation of this effect in a cavity QED experiment would require the rapid variation of the length of a cavity with relativistic velocities, a daunting challenge. Here, we propose a quantum simulation of the DCE using an ion chain confined in a segmented ion trap. We derive a discrete model that enables us to map the dynamics of the multimode radiation field inside a variable-length cavity to radial phonons of the ion crystal. We perform a numerical study comparing the ion-chain quantum simulation under realistic experimental parameters to an ideal Fabry–Perot cavity, demonstrating the viability of the mapping. The proposed quantum simulator, therefore, allows for probing the photon (respectively phonon) production caused by the DCE on the single photon level.

Item Type: Article
Erschienen: 2023
Creators: Trautmann, N. ; Hauke, P.
Type of entry: Secondary publication
Title: Quantum simulation of the dynamical Casimir effect with trapped ions
Language: English
Date: 5 December 2023
Place of Publication: Darmstadt
Year of primary publication: 19 April 2016
Place of primary publication: London
Publisher: IOP Publishing
Journal or Publication Title: New Journal of Physics
Volume of the journal: 18
Issue Number: 4
Collation: 14 Seiten
DOI: 10.26083/tuprints-00020591
URL / URN: https://tuprints.ulb.tu-darmstadt.de/20591
Corresponding Links:
Origin: Secondary publication DeepGreen
Abstract:

Quantum vacuum fluctuations are a direct manifestation of Heisenberg’s uncertainty principle. The dynamical Casimir effect (DCE) allows for the observation of these vacuum fluctuations by turning them into real, observable photons. However, the observation of this effect in a cavity QED experiment would require the rapid variation of the length of a cavity with relativistic velocities, a daunting challenge. Here, we propose a quantum simulation of the DCE using an ion chain confined in a segmented ion trap. We derive a discrete model that enables us to map the dynamics of the multimode radiation field inside a variable-length cavity to radial phonons of the ion crystal. We perform a numerical study comparing the ion-chain quantum simulation under realistic experimental parameters to an ideal Fabry–Perot cavity, demonstrating the viability of the mapping. The proposed quantum simulator, therefore, allows for probing the photon (respectively phonon) production caused by the DCE on the single photon level.

Uncontrolled Keywords: quantum simulation, dynamical Casimir effect, trapped ions, cavity QED
Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-205917
Classification DDC: 500 Science and mathematics > 530 Physics
Divisions: 05 Department of Physics
05 Department of Physics > Institute of Applied Physics
Date Deposited: 05 Dec 2023 10:06
Last Modified: 08 Dec 2023 13:30
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