Time dependence of particle creation from accelerating mirrors

Abstract

Particle production due to a quantized, massless, minimally coupled scalar field in two-dimensional flat spacetime with an accelerating mirror is investigated, with a focus on the time dependence of the process. We analyze first the classes of trajectories previously investigated by Carlitz and Willey and by Walker and Davies. We then analyze four new classes of trajectories, all of which can be expressed analytically and for which several ancillary properties can be derived analytically. The time dependence is investigated through the use of wave packets for the modes of the quantized field that are in the out vacuum state. It is shown for most of the trajectories studied that good time resolution of the particle production process can be obtained.

Entanglement harvesting with moving mirrors

“…Anticipating our results, we choose p(u) to avoid issues involving coordinate singularities (see e.g. [18] or [19]) and the Wightman function is now given by [14] W (x,…”

Dynamical Casimir effect in curved spacetime

“…This reveals the difficulty of maintaining a particle interpretation during the boundary motion (see the introductory discussion in [5]), a problem which is equally present for quantum fields in arbitrary spacetimes [25]. A number of exact solutions using this approach in flat spacetime, in the case of a single moving mirror are given in [39].…”

Late time approach to Hawking radiation: Terms beyond leading order

“…The form(8) can be used to illustrate the thermal behavior at late times in other cases as well such as the 2D mirror trajectories studied in[3][4][5][6][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. For those trajectories one finds that B H is also given by (9b).…”