Pair production in an electric field in a time-dependent gauge

1990 ◽  
Vol 41 (4) ◽  
pp. 1312-1317 ◽  
Author(s):  
A. O. Barut ◽  
I. H. Duru
Keyword(s):  
Electric Field ◽  
Pair Production ◽  
Time Dependent

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.

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

2011 ◽  
Vol 83 (2) ◽  
Author(s):  
A. M. Fedotov ◽  
E. G. Gelfer ◽  
K. Yu. Korolev ◽  
S. A. Smolyansky
Keyword(s):  
Kinetic Equation ◽  
Electric Field ◽  
Pair Production ◽  
Time Dependent ◽  
Equation Approach

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

Effect of Time Dependent Excitation Signals on Gating in Nanofluidic Channels

2015 ◽  
Author(s):  
C. Boone ◽  
M. Fuest ◽  
K. Wellmerling ◽  
S. Prakash
Keyword(s):  
Electric Field ◽  
Ionic Transport ◽  
Local Variation ◽  
Time Dependent ◽  
Local Perturbation ◽  
Gate Electrode ◽  
Nanofluidic Channels ◽  
Field Effect Devices ◽  
Dc Excitation ◽  
Dependent Signal

Nanofluidic field effect devices feature a gate electrode embedded in the nanochannel wall. The gate electrode creates local variation in the electric field allowing active, tunable control of ionic transport. Tunable control over ionic transport through nanofluidic networks is essential for applications including artificial ion channels, ion pumps, ion separation, and biosensing. Using DC excitation at the gate, experiments have demonstrated multiple current states in the nanochannel, including the ability to switch off the measured current; however, experimental evaluation of transient signals at the gate electrode has not been explored. Modeling results have shown ion transport at the nanoscale has known time scales for diffusion, electromigration, and convection. This supports the evidence detailed here that use of a time-dependent signal to create local perturbation in the electric field can be used for systematic manipulation of ionic transport in nanochannels. In this report, sinusoidal waveforms of various frequencies were compared against DC excitation on the gate electrode. The ionic transport was quantified by measuring the current through the nanochannels as a function of applied axial and gate potentials. It was found that time varying signals have a higher degree of modulation than a VRMS matched DC signal.

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