2015
DOI: 10.1103/physreva.92.032115
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Vacuum high-harmonic generation in the shock regime

Abstract: Electrodynamics becomes nonlinear and permits the self-interaction of fields when the quantised nature of vacuum states is taken into account. The effect on a plane probe pulse propagating through a stronger constant crossed background is calculated using numerical simulation and by analytically solving the corresponding wave equation. The electromagnetic shock resulting from vacuum high harmonic generation is investigated and a nonlinear shock parameter identified.

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Cited by 33 publications
(50 citation statements)
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“…where Spin(0) denotes the part of the spin term (16) which is independent of a µ . The equivalence of (20) and (19) can be shown explicitly by separating Spin(a) into field-dependent and independent pieces, integrating by parts, and using the definition of the kinetic momentum (1).…”
Section: A Regularisation and Gauge Invariancementioning
confidence: 99%
“…where Spin(0) denotes the part of the spin term (16) which is independent of a µ . The equivalence of (20) and (19) can be shown explicitly by separating Spin(a) into field-dependent and independent pieces, integrating by parts, and using the definition of the kinetic momentum (1).…”
Section: A Regularisation and Gauge Invariancementioning
confidence: 99%
“…In Ref. [36], the wave steepening is demonstrated by numerical inte-gration of nonlinear QED vacuum electrodynamics equations.…”
Section: Introductionmentioning
confidence: 99%
“…While already actively being searched for in experiments using macroscopic magnetic fields in combination with continuous-wave lasers and high-finesse cavities [23][24][25], various recent theoretical studies have emphasized the possibility of its verification in an all-optical experiment, colliding an X-ray [26][27][28][29][30][31] or gamma-ray probe [32][33][34][35][36] with a high-intensity laser pulse. Other theoretical proposals have focused, e.g., on vacuum nonlinearity induced photon scattering phenomena in laser pulse collisions [37][38][39][40][41], interference effects [42][43][44], laser mode self-mixing [45], quantum reflection [46], higher-harmonic generation in an electromagnetized vacuum [47][48][49][50][51][52][53][54], photon splitting [21,22,[55][56][57][58][59][60][61] and photon merging [62][63][64][65].…”
Section: Introductionmentioning
confidence: 99%