Dynamical Casimir effect in nonlinear vibrating cavities

Quantum fields in the future Rindler wedge

“…We show that for all generalized alpha-states, except the Out-state, loop corrections grow with time signaling the instability of these states. Similar growth was observed in other backgrounds [24], [12], [25], [26] [27], [21], [28], [29], [23].…”

Optomechanical Backreaction of Quantum Field Processes in Dynamical Casimir Effect

“…Regarding quantum effects of matter fields in a 3 + 1D background, for a conformal field in a conformally-flat spacetime, e.g., the Friedmann-Lemâitre-Robertson-Walker (FLRW) universe, 2 E.g., Haro [30] avoided this issue by assuming a well defined out state at late times, thus assuming, rather than predicting, the black hole's eventuality. 3 For theoretical considerations many other factors may enter, such as stimulated particle creation [44] and nonlinear interactions [45], secular effects and instability in parametric amplification and resonance, see e.g., [46]. In the design of analogue experiments, naturally it gets even more complex, e.g., [31,39,47].…”

Loop corrections to a cosmological particle creation

“…Alternatively, one can quantize the field using out-modes (11), i.e. decompose the field operator as…”

“…Secularly growing loop corrections occur in various strong backgrounds and the character of the secular growth is sensitive to the choice of the background geometry and to the choice of the initial state and even the Cauchy surface. In fact, one encounters such a phenomenon in cosmological backgrounds [4], [5] in the black hole collapse background [6], in strong electric field backgrounds [7], [8], in the backgrounds of moving mirrors [9], [10], [11] and even in scalar field backgrounds [19], [20]. There is an evidence that secular growth of loop corrections in non-stationary situations or in background fields is quite a generic phenomenon [3] (see, however, [12], [13], [15], [18] for some specific situations).…”