Blackbody Emission from Light Interacting with an Effective Moving Dispersive Medium

Petev, M.; Westerberg, Niclas; Moss, Daniel; Rubino, E.; Rimoldi, Cristina; Cacciatori, Sergio L.; Belgiorno, F.; Faccio, Daniele

doi:10.1103/physrevlett.111.043902

Cited by 43 publications

(45 citation statements)

References 30 publications

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“…systems displaying the same kinematics which is at the root of the Hawking effect [1][2][3][4]. A possible implementation of the analogue Hawking effect as a quantum effect in dielectric media has been presented and analysed in [5], [6], [7] and further developed in [8]. Improvement of such theoretical analysis required to look for a more fundamental model, able to maintain the main aspects of the phenomenology of the system, and still providing a good mathematical model.…”

Section: Introductionmentioning

confidence: 99%

Exact quantisation of the relativistic Hopfield model

et al. 2016

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Abstract. We investigate the quantisation in the Heisenberg representation of a relativistically covariant version of the Hopfield model for dielectric media, which entails the interaction of the quantum electromagnetic field with the matter dipole fields. The matter fields are represented by a mesoscopic polarization field. A full quantisation of the model is provided in a covariant gauge, with the aim of maintaining explicit relativistic covariance. Breaking of the Lorentz invariance due to the intrinsic presence in the model of a preferred reference frame is also taken into account. Relativistic covariance forces us to deal with the unphysical (scalar and longitudinal) components of the fields, furthermore it introduces, in a more tricky form, the well-known dipole ghost of standard QED in a covariant gauge. In order to correctly dispose of this contribution, we implement a generalized Lautrup trick. Furthermore, causality and the relation of the model with the Wightman axioms are also discussed.

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Section: Introductionmentioning

confidence: 99%

Exact quantisation of the relativistic Hopfield model

et al. 2016

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“…Our analysis is confirmed by experiments and simulations seeded by both pulsed and CW lasers, over the full range of observable event horizon dynamics. The developed FWM-based description intrinsically allows the underlying energy conservation laws as well as the photon creation and annihilation processes to be identified, which could represent a significant step towards the unambiguous observation of the photonic analogue of Hawking radiation 13,[32][33][34] .…”

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confidence: 99%

Nonlinear optics of fibre event horizons

et al. 2014

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The nonlinear interaction of light in an optical fibre can mimic the physics at an event horizon. This analogue arises when a weak probe wave is unable to pass through an intense soliton, despite propagating at a different velocity. To date, these dynamics have been described in the time domain in terms of a soliton-induced refractive index barrier that modifies the velocity of the probe. Here we complete the physical description of fibre-optic event horizons by presenting a full frequency-domain description in terms of cascaded four-wave mixing between discrete single-frequency fields, and experimentally demonstrate signature frequency shifts using continuous wave lasers. Our description is confirmed by the remarkable agreement with experiments performed in the continuum limit, reached using ultrafast lasers. We anticipate that clarifying the description of fibre event horizons will significantly impact on the description of horizon dynamics and soliton interactions in photonics and other systems.

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“…is relevant in the discussion of the analogue of the Hawking effect (for the optical case, see e.g. [23][24][25][26][27]), where passing to the reference frame which is comoving with the uniformly travelling perturbation is of basic relevance in order to understand several theoretical questions [30]. Constrained quantization is as well an important topic for understanding the role of constraints on the quantization of the model at hand.…”

Section: The Hopfield Modelmentioning

confidence: 99%

Perturbative photon production in a dispersive medium

2014

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We investigate photon pair-creation in a dispersive dielectric medium induced by the presence of a spacetime varying dielectric constant. Our aim is to examine the possibility to observe new phenomena of pair creation induced by travelling dielectric perturbations e.g. created by laser pulses by means of the Kerr effect. In this perspective, we adopt a semi-phenomenological version of the Hopfield model in which a space-time dependent dielectric susceptibility appears. We focus our attention on perturbation theory, and provide general formulas for the photon production induced by a local but arbitrarily spacetime dependent refractive index perturbation. As an example, we further explore the case of an uniformly travelling perturbation, and provide examples of purely time-dependent perturbations.

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Blackbody Emission from Light Interacting with an Effective Moving Dispersive Medium

Cited by 43 publications

References 30 publications

Exact quantisation of the relativistic Hopfield model

Exact quantisation of the relativistic Hopfield model

Nonlinear optics of fibre event horizons

Perturbative photon production in a dispersive medium

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