Pair Production in Vacuum by an Alternating Field

Dynamically assisted Sauter-Schwinger effect in inhomogeneous electric fields

“…(3.4) and keep only the divergent contributions. Then, the equation for x 1 can be integrated approximately tȯ 6) and thus the equation for x 0 becomes…”

“…Unfortunately, the dependence of this non-perturbative phenomenon on the field profile E(t, r) away from the constant field approximation is still mostly terra incognita. There are many results for fields which depend on one coordinate only, such as space x or time t (see, e.g., [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]), one of the light-cone coordinates x ± = t ± x (see, e.g., [21][22][23][24][25][26][27][28]), or other linear combinations of x and t [29]. In these cases, the underlying (Dirac or Klein-Fock-Gordon) equation simplifies to an ordinary differential equation (allowing for a WKB approach, for example, see also [30][31][32][33][34]).…”

Streaking at high energies with electrons and positrons

“…We analyze SHEEP for different classes of TPs from fs to zs duration, and discuss effects limiting the resolution and the detectable photon energies. While pair production by a γ-photon in a strong laser field at the threshold of the nonperturbative regime has already been observed experimentally in a benchmark experiment at SLAC [30], once realized, SHEEP could be the first viable application for this strong field QED process [31], exploiting it as a measurement tool.…”

Numerical investigation and potential tunability scheme on and stimulated pair creation from vacuum using high intensity laser beams

“…Email: iploumistakis@isc.tuc.gr setup as seen in various works [3][4][5][6][7][8][9][10][11] . Theoretical treatment of pair creation in an oscillating pure electric field and based on the atom ionization theory, was demonstrated in Brezin and Itzykson [12] and Popov's works [13][14][15][16][17][18][19] . The characteristic parameter of those treatments is the relativistic invariant parameter γ = mcω/eE =hωE c /mc 2 E, which is analogous to the Keldysh parameter.…”