Negative-Frequency Resonant Radiation

Rubino, E.; McLenaghan, Joanna; Kehr, Susanne C.; Belgiorno, F.; Townsend, David; Rohr, Sven; Kuklewicz, Christopher E.; Leónhardt, Ulf; König, Friedrich; Faccio, Daniele

doi:10.1103/physrevlett.108.253901

Cited by 109 publications

(117 citation statements)

References 26 publications

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“…This could be the case in a sonic horizon formed by a double-barrier structure [12] lying between the subsonic and supersonic asymptotic regions. Optical analogs can show similar peaked structures [19]. The purpose of this paper is to show that, despite the remaining difficulties, the violation of CS inequalities in HR is comparatively much easier to observe near the peaks characteristic of resonant radiation.…”

Section: Introductionmentioning

confidence: 99%

Violation of Cauchy-Schwarz inequalities by spontaneous Hawking radiation in resonant boson structures

2014

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The violation of a classical Cauchy-Schwarz (CS) inequality is identified as an unequivocal signature of spontaneous Hawking radiation in sonic black holes. This violation can be particularly large near the peaks in the radiation spectrum emitted from a resonant boson structure forming a sonic horizon. As a function of the frequency-dependent Hawking radiation intensity, we analyze the degree of CS violation and the maximum violation temperature for a double barrier structure separating two regions of subsonic and supersonic condensate flow. We also consider the case where the resonant sonic horizon is produced by a space-dependent contact interaction. In some cases, CS violation can be observed by direct atom counting in a time-of-flight experiment. We show that near the conventional zero-frequency peak, the decisive CS violation cannot occur.

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Section: Introductionmentioning

confidence: 99%

Violation of Cauchy-Schwarz inequalities by spontaneous Hawking radiation in resonant boson structures

2014

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“…These generated waves have negative laboratory frequency. Negative-norm modes were recently observed in water experiments [7,27] and in optics [22,28]. Due to the conservation of norm, the generation of negative-norm waves signifies a simultaneous increase in positive-norm waves, the generation of correlated waves.…”

Section: Light-matter Interactions In a Dispersive Mediummentioning

confidence: 96%

Quantum vacuum emission from a refractive-index front

Jacquet

König

2015

Phys. Rev. A

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A moving boundary separating two otherwise homogeneous regions of a dielectric is known to emit radiation from the quantum vacuum. An analytical framework based on the Hopfield model, describing a moving refractiveindex step in 1 + 1 dimensions for realistic dispersive media has been developed by S. Finazzi and I. Carusotto [Phys. Rev. A 87, 023803 (2013)]. We expand the use of this model to calculate explicitly spectra of all modes of positive and negative norms. Furthermore, for lower step heights we obtain a unique set of mode configurations encompassing black-hole and white-hole setups. This leads to a realistic emission spectrum featuring black-hole and white-hole emission for different frequencies. We also present spectra as measured in the laboratory frame that include all modes, in particular a dominant negative-norm mode, which is the partner mode in any Hawking-type emission. We find that the emission spectrum is highly structured into intervals of emission with black-hole, white-hole, and no horizons. Finally, we estimate the number of photons emitted as a function of the step height and find a power law of 2.5 for low step heights.

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“…In addition to the traditional RR emission, other emissions are possible when considering the influence of conjugate fields and the nonlinear interaction between positive and 'negative frequencies' in the nonlinear polarization [17]. Recently, experiments performed in optical fibers and bulk crystals revealed the presence of 'negative frequency resonant radiation' (NRR), which has also been completely explained theoretically in Ref.…”

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confidence: 93%

Nonlinear Cavity and Frequency Comb Radiations Induced by Negative Frequency Field Effects

2015

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Starting from the infinite-dimensional Ikeda map, we derive an extended temporal Lugiato-Lefever equation that may account for the effects of the conjugate electromagnetic fields (also called 'negative frequency fields'). In the presence of nonlinearity in a ring cavity, these fields lead to new forms of modulational instability and resonant radiations. Numerical simulations based on the new extended Lugiato-Lefever model show that the negative-frequency resonant radiations emitted by ultrashort cavity solitons can impact Kerr frequency comb formation in externally pumped temporal optical cavities of small size. Our theory is very general, is not based on the slowly-varying envelope approximation, and the predictions are relevant to all kinds of resonators, such as fiber loops, microrings and microtoroids.

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Negative-Frequency Resonant Radiation

Cited by 109 publications

References 26 publications

Violation of Cauchy-Schwarz inequalities by spontaneous Hawking radiation in resonant boson structures

Violation of Cauchy-Schwarz inequalities by spontaneous Hawking radiation in resonant boson structures

Quantum vacuum emission from a refractive-index front

Nonlinear Cavity and Frequency Comb Radiations Induced by Negative Frequency Field Effects

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