Back-Reaction in the Moving Mirror Effects

Mechanical backreaction effect of the dynamical Casimir emission

“…This is immediately seen, for example, by comparing the expression for b in Eq. (42) with the one in (28) and (30) for ∆ = 0.…”

“…In the case of Hawking radiation, one instead expects from purely thermodynamic considerations that the horizon of a black-hole must shrink as a consequence of the emitted particles [25][26][27][28][29]. In the DCE case, the particles created out of the vacuum provide a friction force on the moving mirror [30][31][32][33][34]. Despite the efforts devoted to this topic, most works so far assume that the background interacts with expectation values of quantum field observables such as the stress-energy tensor.…”

Excitation of an Atom by a Uniformly Accelerated Mirror through Virtual Transitions

“…Theoretical investigations of photon generation by accelerating mirrors have involved generalization of the problem into 3 + 1 dimensions [15][16][17], study of the backreaction on the mirrors [18,19], non-planar mirror shapes [15,16,20], "mirrors" carrying different boundary conditions [21,22], and analogy with radiation from an electrical charge in classical electrodynamics [15,17].…”

Nonstationary Casimir Effect and Analytical Solutions for Quantum Fields in Cavities with Moving Boundaries

“…Moore's approach was developed in [78,81,82]. However, the most efforts were applied to the case of a single mirror (not necessarily plane) moving with a relativistic velocity or with a great acceleration, when the effect of particle production becomes significant [83][84][85][86][87][88][89][90][91][92][93][94][95][96][97][98][99][100]. The case of two or more boundaries, one of which moves with a constant relativistic velocity, was analyzed in [101][102][103][104] (the case of constant relative acceleration was considered in [105]).…”

“…For this reason, we omit hereafter the subscript T , writing simply τ instead of τ T or τ (N ) . Differentiating the right-hand sides of equations (89) and (90) with respect to the 'slow time' τ , one can remove the fraction 1/n with the aid of the recurrence relations (87) and (88). After that, changing if necessary the summation index n to n ± p, one can verify that almost all terms in the right-hand sides are cancelled, and the infinite series are reduced to the finite sums:…”