A perturbation-theoretical treatment of the time-dependent Boltzmann equation for crystal electrons in a strong electric field

1972 ◽  
Vol 49 (2) ◽  
pp. 731-740 ◽  
Author(s):  
K. Henneberger ◽  
J. Röseler
Keyword(s):  
Boltzmann Equation ◽  
Electric Field ◽  
Strong Electric Field ◽  
Time Dependent ◽  
Theoretical Treatment

scholarly journals Exact WKB analysis of the vacuum pair production by time-dependent electric fields

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Hidetoshi Taya ◽  
Toshiaki Fujimori ◽  
Tatsuhiro Misumi ◽  
Muneto Nitta ◽  
Norisuke Sakai
Keyword(s):  
Electric Field ◽  
Pair Production ◽  
Electric Fields ◽  
Classical Limit ◽  
Strong Electric Field ◽  
Asymptotic Series ◽  
Time Dependent ◽  
Generic Structure ◽  
Connection Matrices ◽  
Schwinger Mechanism

Abstract We study the vacuum pair production by a time-dependent strong electric field based on the exact WKB analysis. We identify the generic structure of a Stokes graph for systems with the vacuum pair production and show that the number of produced pairs is given by a product of connection matrices for Stokes segments connecting pairs of turning points. We derive an explicit formula for the number of produced pairs, assuming the semi-classical limit. The obtained formula can be understood as a generalization of the divergent asymptotic series method by Berry, and is consistent with other semi-classical methods such as the worldline instanton method and the steepest descent evaluation of the Bogoliubov coefficients done by Brezin and Izykson. We also use the formula to discuss effects of time-dependence of the applied strong electric field including the interplay between the perturbative multi-photon pair production and non-peturbative Schwinger mechanism, and the dynamically assisted Schwinger mechanism.

Kinetics of the vacuum e−e+ plasma in a strong electric field and problem of radiation

2020 ◽  
Vol 35 (03) ◽  
pp. 2040028 ◽  
Author(s):  
S. A. Smolyansky ◽  
A. M. Fedotov ◽  
V. V. Dmitriev
Keyword(s):  
Kinetic Equation ◽  
Electric Field ◽  
Strong Electric Field ◽  
Photon Emission ◽  
Collision Integral ◽  
Time Dependent ◽  
Polarization Direction ◽  
Quantum Kinetic Equation ◽  
Linearly Polarized ◽  
Kinetics Of

We consider a quantum kinetic equation for [Formula: see text] plasma created from vacuum under the action of a strong time-dependent linearly polarized electric field. Simplification of the collision integral for photon emission along the polarization direction of the field is discussed.

scholarly journals Axion assisted Schwinger effect

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Valerie Domcke ◽  
Yohei Ema ◽  
Kyohei Mukaida
Keyword(s):  
Electric Field ◽  
Production Rate ◽  
Strong Electric Field ◽  
Background Field ◽  
Chiral Anomaly ◽  
Fermion Mass ◽  
Anomaly Equation ◽  
Electric And Magnetic Fields ◽  
Schwinger Effect ◽  
Momentum Transverse

Abstract We point out an enhancement of the pair production rate of charged fermions in a strong electric field in the presence of time dependent classical axion-like background field, which we call axion assisted Schwinger effect. While the standard Schwinger production rate is proportional to $$ \exp \left(-\pi \left({m}^2+{p}_T^2\right)/E\right) $$ exp − π m 2 + p T 2 / E , with m and pT denoting the fermion mass and its momentum transverse to the electric field E, the axion assisted Schwinger effect can be enhanced at large momenta to exp(−πm2/E). The origin of this enhancement is a coupling between the fermion spin and its momentum, induced by the axion velocity. As a non-trivial validation of our result, we show its invariance under field redefinitions associated with a chiral rotation and successfully reproduce the chiral anomaly equation in the presence of helical electric and magnetic fields. We comment on implications of this result for axion cosmology, focussing on axion inflation and axion dark matter detection.

scholarly journals Vacuum radiation induced by time dependent electric field

2017 ◽  
Vol 767 ◽  
pp. 431-436 ◽  
Author(s):  
Bo Zhang ◽  
Zhi-meng Zhang ◽  
Wei Hong ◽  
Shu-Kai He ◽  
Jian Teng ◽  
...  
Keyword(s):  
Electric Field ◽  
Time Dependent ◽  
Radiation Induced ◽  
Vacuum Radiation
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