Quantum simulation of the dynamical Casimir effect with trapped ions
arXiv:1512.00990 · doi:10.1088/1367-2630/18/4/043029
Abstract
Quantum vacuum fluctuations are a direct manifestation of Heisenberg's uncertainty principle. The dynamical Casimir effect 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 dynamical Casimir effect 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 dynamical Casimir effect on the single photon level.
19, pages, 4 figures
References in corpus (7)
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Cited by in corpus (5)
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- Conversion of Mechanical Noise into Correlated Photon Pairs: Dynamical Casimir effect from an incoherent mechanical drive
- 1- and 3-photon dynamical Casimir effects using nonstationary cyclic qutrit
- Damped Casimir radiation and photon correlation measurements
- A Lie algebraic approach to a nonstationary atom-cavity system