Vacuum effects in a vibrating cavity: Time refraction, dynamical Casimir effect, and effective Unruh acceleration

Abstract

Two different quantum processes are considered in a perturbed vacuum cavity: time refraction and dynamical Casimir effect. They are shown to be physically equivalent, and are predicted to be unstable, leading to an exponential growth in the number of photons created in the cavity. The concept of an effective Unruh acceleration for these processes is also introduced, in order to make a comparison in terms of radiation efficiency, with the Unruh radiation associated with an accelerated frame in unbounded vacuum.

Broad Frequency Shift of Parametric Processes in Epsilon-Near-Zero Time-Varying Media

“…modulated, and if the temporal phase change is uniform over the pulse duration, the optical spectrum can be rigidly shifted. This effect can be interpreted as time-refraction [1,2], a phenomenon that attracted the attention of the research community owing to its link with the dynamical Casimir effect and Hawking radiation, and its implication in the formation of temporal band-gap structures and non reciprocal devices [3][4][5][6][7][8]. Strong enhancement of light-matter interaction has been observed in the spectral region where the real part of the dielectric permittivity ( [ε r ]) of a medium approaches zero (ENZ) [9][10][11].…”

Radiation from accelerated impurities in a Bose–Einstein condensate

“…Indeed, our model also shares similar mathematical formulas with other proposed models as discussed in Refs. [9,[13][14][15]34]. We emphasize here that our model deals only the radiation property of the DU effect but not the detector response.…”

“…in laboratories. Several authors have studied radiation spectra arising from accelerated disturbance and responses of accelerated detectors in several different quantum systems [9,[13][14][15][16][17]. They found under certain conditions that the Planckian distribution for the radiation spectra and for the detector's excitation probabilities.…”

Towards particle creation in a microwave cylindrical cavity

“…10 Another way to understand this fact is that for transverse TE waves, E and H ⊥ have a lower order contribution to damping (e.g., see Chap. 8 of [34]).…”

“…To overcome this problem there have been various other proposals besides the mechanical oscillations of a boundary, such as using a dielectric medium [3][4][5][6][7][8][9] (see also [10]). This leads to an effective wall motion by varying the optical path length of the cavity [5,7,10]. There are also other methods such as illuminated superconducting boundaries [11] and time varied inductance effects in quantum circuit devices [12], where evidence for photon creation in a one-dimensional system has been reported [13] (see also the review in Ref.…”