arXiv:2001.08467v1 [hep-th] 23 Jan 2020 Stimulated Hawking emission from metamaterial-dielectric interface Avijit Bera 1 , Subir Ghosh 1 1 Physics and Applied Mathematics Unit, Indian Statistical Institute 203 B.T. Road, Kolkata 700108, India E-mails: avijitbera1997@gmail.com; subirghosh20@gmail.com January 24, 2020 Abstract In the present paper we have considered possible analogue Hawking radiation from a normal dielectric and metamaterial composite, having an analogue horizon where the dielectric parameters vanish and change sign upon crossing this transition zone. We follow a complex path analysis to show the presence of an analogue Hawking temperature at the horizon and subsequent photon production from the ambient electromagnetic field. Possibility of experimental observation is also commented upon. 1 Introduction Even after around 45 years, Hawking’s theoretical discovery [1] of Black Hole (BH) radiation remains in the limelight in a somewhat enigmatic way since no smoking gun evidence of it has been produced in the astrophysical context, the major reason being the tiny value of Hawking temperature ∼ 10 −8 K for a solar mass black hole. This has led to a flurry of activity in the analogue gravity scenario, pioneered by Unruh [2] in fluid system, followed by many works in different physical systems (see [3] for a review). In all these cases the underlying principle is that the relevant degree of freedom of a physical system, (that need not have any direct connection to General Relativity or Gravitation and preferably possible to construct the system in a laboratory), satisfies an equation of motion that can be cast in the conventional form of dynamics in an effective curved spacetime. This allows the identification of an effective metric constructed out of parameters of the analogue system. However, an analogue black hole and subsequently analogue Hawking Radiation (HR) is possible only if the effective metric has a “horizon” where the metric coefficients vanish or become singular, as the case may be. The “dumb hole” theorized by Unruh [2] and later experimentally constructed and studied by [14] occurred in a moving fluid (with a critical velocity) that acoustic disturbance can not penetrate. (In fact the experimental setups are more geared to an analogue white hole). Let us come to optical analogue of BH, that is of present interest. It has long been well known [5] (in purely classical framework) that electrodynamics in curved spacetime can be mapped to electrodynamics in flat spacetime in a dielectric medium with non-uniform permittivity and permeability. This theme received a strong impetus in recent times after the laboratory construction of an exotic form of dielectric - metamaterial, with negative permittivity and permeability. Possible existence of metamaterial was visualized long ago by Veselago [6] and its experimental verification was done in [7]. Its counterintuitive properties have led to many significant applications such as negative refraction, electromagnetic invisibility cloaks, super-resolution imaging, electromagnetic concentrators and light trapping, among others [8]. The essential features of the 1