“…The resulting chirp of the emitted photons may have a clear and detectable signature in the electromagnetic spectrum. Analogues of these processes may be eventually simulated in the long-range interactions between optical solitons pairs recently observed over astronomical distances [36], or similar optical experiments [37,38].…”
The intriguing connection between black holes' evaporation and physics of solitons is opening novel roads to finding observable phenomena. It is known from the inverse scattering transform that velocity is a fundamental parameter in solitons theory. Taking this into account, the study of Hawking radiation by a moving soliton gets a growing relevance. However, a theoretical context for the description of this phenomenon is still lacking. Here, we adopt a soliton geometrization technique to study the quantum emission of a moving soliton in a one-dimensional model. Representing a black hole by the one soliton solution of the Sine-Gordon equation, we consider Hawking emission spectra of a quantized massless scalar field on the soliton-induced metric. We study the relation between the soliton velocity and the black hole temperature. Our results address a new scenario in the detection of new physics in the quantum gravity panorama. tt xx 2 is a nonlinear model that exhibits a Riemannian surface with constant negative curvature.
“…The resulting chirp of the emitted photons may have a clear and detectable signature in the electromagnetic spectrum. Analogues of these processes may be eventually simulated in the long-range interactions between optical solitons pairs recently observed over astronomical distances [36], or similar optical experiments [37,38].…”
The intriguing connection between black holes' evaporation and physics of solitons is opening novel roads to finding observable phenomena. It is known from the inverse scattering transform that velocity is a fundamental parameter in solitons theory. Taking this into account, the study of Hawking radiation by a moving soliton gets a growing relevance. However, a theoretical context for the description of this phenomenon is still lacking. Here, we adopt a soliton geometrization technique to study the quantum emission of a moving soliton in a one-dimensional model. Representing a black hole by the one soliton solution of the Sine-Gordon equation, we consider Hawking emission spectra of a quantized massless scalar field on the soliton-induced metric. We study the relation between the soliton velocity and the black hole temperature. Our results address a new scenario in the detection of new physics in the quantum gravity panorama. tt xx 2 is a nonlinear model that exhibits a Riemannian surface with constant negative curvature.
“…Other research on the propagation dynamics have shown that by using external potentials and weakening or strengthening of the autofocussing effect, the accelerating trajectory of Airy beam like structures can be controlled [19,20]. The interaction of Airy beams and solitons in nonlinear media can even reproduce gravitational dynamics [21].…”
We analyze numerically optical waveguiding structures created in photorefractive media by two incoherent counter-propagating 1D Airy beams under nonlinear self-focusing conditions. We then inject a Gaussian probe beam to test our waveguiding structure. By using an anti-symmetric Airy beam configuration in stationary conditions, we find rich and complex waveguiding structures with multiple input to multiple output configurations and transverse input-to-output shifts up to 13 times the guided beam's waist.
“…For these reasons, the Newton-Schrödinger system was extensively studied during the last few decades for achieving a better understanding of the interplay between quantum and gravitational effects, towards a quantumgravity theory [2][3][4]. Specifically, in our study we utilized the mathematical equivalence between the NewtonSchrödinger system and the propagation of paraxial optical beams in nonlocal nonlinear media [1], and suggested that constructing specific initial wavefunctions can affect the interactions. In this context, the past few years has witnessed considerable interest in shaping the wavefunctions of optical and quantum wavepackets [5][6][7].…”
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confidence: 99%
“…Recently, we have presented the optical emulation of gravitationally interacting quantum wavefunctions in the Newton-Schrödinger system, by means of a thermal nonlocal nonlinearity [1]. The Newton-Schrödinger system is a fundamental phenomenological model unifying quantum mechanics and Newtonian gravity.…”
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