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Quantum simulation of the dynamical Casimir effect with trapped ions

Trautmann, Nils and Hauke, Philipp (2016):
Quantum simulation of the dynamical Casimir effect with trapped ions.
In: New Journal of Physics, pp. 043029, (18), [Article]

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: 2016
Creators: Trautmann, Nils and Hauke, Philipp
Title: Quantum simulation of the dynamical Casimir effect with trapped ions
Language: German
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.

Journal or Publication Title: New Journal of Physics
Number: 18
Uncontrolled Keywords: Primitives;P4;quantum simulation, dynamical Casimir effect, trapped ions, cavity QED
Divisions: DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 1119: CROSSING – Cryptography-Based Security Solutions: Enabling Trust in New and Next Generation Computing Environments
Profile Areas > Cybersecurity (CYSEC)
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres
Profile Areas
DFG-Collaborative Research Centres (incl. Transregio)
Date Deposited: 15 Nov 2016 23:15
Identification Number: TUD-CS-2016-0089
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