Analytical description of quantum emission in optical analogs to gravity
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We consider a moving refractive index perturbation in an optical medium as an optical analogue to waves under the inﬂuence of gravity. We describe the dielectric medium by the Lagrangian of the Hopﬁeld model. We supplement the ﬁeld theory in curved spacetime for this model to solve the scattering problem for all modes and frequencies analytically. Because of dispersion, the kinematic scenario of the ﬁeld modes may contain optical event horizons for some frequencies. We calculate the spectra of spontaneous emission in the frame co-moving with the perturbation and in the laboratory frame. We also calculate the spectrally-resolved photon number correlations in either frame. The emitted multimode ﬁeld comes in different types depending on the presence of horizons. We show that these types are robust against changes in the system parameters and thus are genuine features of optical and non-optical analogues. These methods and ﬁndings pave the way to new observations of analogue gravity in dispersive systems.
Jacquet , M J R & Koenig , F E W 2020 , ' Analytical description of quantum emission in optical analogs to gravity ' , Physical Review. A, Atomic, molecular, and optical physics , vol. 102 , no. 1 , 013725 . https://doi.org/10.1103/PhysRevA.102.013725
Physical Review. A, Atomic, molecular, and optical physics
Copyright © 2020 American Physical Society. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1103/PhysRevA.102.013725.
DescriptionFunding: UK EPSRC via Grant No. EP/L505079/1 and the IMPP.
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