Kinetic equation approach to pair production by a time-dependent electric field

Fedotov, A. M.; Gelfer, E. G.; Korolev, Konstantin Yu.; Smolyansky, S. A.

doi:10.1103/physrevd.83.025011

Cited by 36 publications

(50 citation statements)

References 31 publications

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“…When pair creation in standing electromagnetic waves is studied, neglecting the magnetic field component and the spatial variation of the electric field is a commonly applied approximation [31,48,49]. Therefore, we will analyze the effect of this approximation in this subsection.…”

Section: Comparison To the Dipole Approximationmentioning

confidence: 99%

Spin polarized electron-positron pair production via elliptical polarized laser fields

2015

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We study nonperturbative multiphoton electron-positron pair creation in ultrastrong electromagnetic fields formed by two counterpropagating pulses with elliptic polarization. Our numerical approach allows us to take into account the temporal as well as the spatial variation of the standing electromagnetic field. The spin and momentum resolved pair creation probabilities feature characteristic Rabi oscillations and resonance spectra. Therefore, each laser frequency features a specific momentum distribution of the created particles. We find that, depending on the relative polarization of both pulses, the created electrons may be spin polarized along the direction of field propagation

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Section: Comparison To the Dipole Approximationmentioning

confidence: 99%

Spin polarized electron-positron pair production via elliptical polarized laser fields

2015

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“…As the pulse duration of some of the proposed light sources e.g., lasers based on higher order harmonics, is expected to be of the order of attoseconds, one needs to look beyond the Schwinger formalism. Furthermore, for the dynamical studies like longitudinal momentum spectrum of created particles one has to solve the underlying Dirac equation for the fermionic system (Klein-Gordon equation for scalar field) interacting with the external electromagnetic field [13][14][15][16][17][18][19][20]. In order to have analytically tractable dynamical description for the system of unstable vacuum in the presence of the external field two broad classes of theoretical formulations based on the spatiotemporal inhomogeneity of the external field were developed [21].…”

Section: Introductionmentioning

confidence: 99%

Transient and pretransient stages in a field induced phase transition of the vacuum state

Banerjee

Singh

2019

Phys. Rev. D

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Evolution of modulus and phase of complex order parameter associated with field induced phase transition (FIPT) of the vacuum state interacting with time dependent Sauter pulse is studied to analyse different evolution stages of the order parameter e.g., quasi electron positron plasma (QEPP), transient, and residual electron-positron plasma (REPP) stages. By revisiting FIPT in presence of single-sheeted and multi-sheeted pulses, we attribute the transient stage to the nonlinear coupling in the differential equations governing the dynamics of the phase and the modulus of the order parameter. Appearance of the rapid oscillations in the modulus is shown to be associated with the abrupt change in the phase of the order parameter in the transient stage. FIPT is also studied for multi-sheeted Sauter pulse with linear and quadratic frequency chirp. QEEP stage is found to show complex dynamical behaviour with fast and irregular oscillations due to the frequency chirp. The formation of pre-transient region due to the quadratic frequency chirping is observed in the accelerating part of the QEPP stage before the electric field attains the maximum value.As the quadratic chirp is increased the pre-transient and transient stages move closer to the electric field maximum which leads to decrease in temporal separation between the two stages. Early appearance of the transient stage and hence of the following REPP stage results in the enhancement of pair production rate.

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“…The most general dispersion relation is (7) where m ph is unknown. The photon effective mass will be found self-consistently in section IV using the equation of motion of the classical vector potential (33). Since in our model the laser photons aquire mass, the gauge invariance is not satisfied.…”

Section: A Scalarsmentioning

confidence: 99%

“…The dynamic of the Dirac equation in the presence of a homogenous electric field was thoroughly studied in the literature [29][30][31][32][33] in the context of Schwinger pair creation. One might wonder how can these investigations shed light upon our problem.…”

Section: Introductionmentioning

confidence: 99%

“…One might wonder how can these investigations shed light upon our problem. Various techniques were used to tackle this subject -WKB approximation 30 , Bogolyubov transformation 31 , quantum Vlasov equation 33 , Dirac-Wigner phase space calculations 32 , etc. These nonperturbative attitudes are appropriate for this purpose but are not optimal for the calculation of QED processes relevant in the context of QED cascades.…”

Section: Introductionmentioning

confidence: 99%

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The Lagrangian formulation of strong-field quantum electrodynamics in a plasma

2014

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The Lagrangian formulation of the scalar and spinor quantum electrodynamics (QED) in the presence of strong laser fields in a plasma medium is considered. We include the plasma influence in the free Lagrangian analogously to the "Furry picture" and obtain coupled equations of motion for the plasma particles and for the laser propagation. We demonstrate that the strong-field wave (i.e. the laser) satisfies a massive dispersion relation and obtain self-consistently the effective mass of the laser photons. The Lagrangian formulation derived in this paper is the basis for the cross sections calculation of quantum processes taking place in the presence of a plasma.

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Kinetic equation approach to pair production by a time-dependent electric field

Cited by 36 publications

References 31 publications

Spin polarized electron-positron pair production via elliptical polarized laser fields

Spin polarized electron-positron pair production via elliptical polarized laser fields

Transient and pretransient stages in a field induced phase transition of the vacuum state

The Lagrangian formulation of strong-field quantum electrodynamics in a plasma

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