Dynamical Casimir effect in a hybrid cavity optomechanical system

Lan, Zi-Liang; Chen, Ya-Wen; Cheng, Lü-Yun; Chen, Lei; Ye, Sai-Yun; Zhong, Zhi-Rong

doi:10.1007/s11128-024-04267-3

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“…In this situation, the most convenient way to address the photon production is not by imposing boundary conditions on the moving plate [ 14 ] and deriving a relation between output and input fields [ 15 , 16 , 17 ] (for instance in terms of a Bogoliubov transformation [ 18 ]), but rather to employ directly a Hamiltonian approach [ 19 , 20 , 21 , 22 ]. Within the dipolar approximation, this strategy was successfully applied to evaluate the generation of photon pairs by an oscillating atom [ 23 ] in the microscopic dynamical Casimir effect (MDCE) [ 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 ]. In the present paper, we first revisit the MDCE effect by providing an alternative derivation of the associated Hamiltonian where the dipole motion gives rise to time-dependent higher-order multipole moments ( Section 2 ).…”

Section: Introductionmentioning

confidence: 99%

Multipole Approach to the Dynamical Casimir Effect with Finite-Size Scatterers

Alonso,

Matos,

Impens

et al. 2024

Entropy

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A mirror subjected to a fast mechanical oscillation emits photons out of the quantum vacuum—a phenomenon known as the dynamical Casimir effect (DCE). The mirror is usually treated as an infinite metallic surface. Here, we show that, in realistic experimental conditions (mirror size and oscillation frequency), this assumption is inadequate and drastically overestimates the DCE radiation. Taking the opposite limit, we use instead the dipolar approximation to obtain a simpler and more realistic treatment of DCE for macroscopic bodies. Our approach is inspired by a microscopic theory of DCE, which is extended to the macroscopic realm by a suitable effective Hamiltonian description of moving anisotropic scatterers. We illustrate the benefits of our approach by considering the DCE from macroscopic bodies of different geometries.

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