Time-dependent pair creation and the Schwinger mechanism in graphene

2015 ◽  
Vol 92 (3) ◽  
Author(s):  
François Fillion-Gourdeau ◽  
Steve MacLean
1998 ◽  
Vol 07 (06) ◽  
pp. 709-722 ◽  
Author(s):  
S. Schmidt ◽  
D. Blaschke ◽  
G. Röpke ◽  
S. A. Smolyansky ◽  
A. V. Prozorkevich ◽  
...  

A quantum kinetic equation is derived for the description of pair production in a time-dependent homogeneous electric field E(t). As a source term, the Schwinger mechanism for particle creation is incorporated. Possible particle production due to collisions and collisional damping are neglected. The main result is a kinetic equation of non-Markovian character. In the low density approximation, the source term is reduced to the leading part of the well known Schwinger formula for the probability of pair creation. We discuss the momentum and time dependence of the derived source term and compare with other approaches.


2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Roberto Balbinot ◽  
Alessandro Fabbri

We consider simple models of Bose-Einstein condensates to study analog pair-creation effects, namely, the Hawking effect from acoustic black holes and the dynamical Casimir effect in rapidly time-dependent backgrounds. We also focus on a proposal by Cornell to amplify the Hawking signal in density-density correlators by reducing the atoms’ interactions shortly before measurements are made.


2008 ◽  
Vol 22 (25n26) ◽  
pp. 4655-4665 ◽  
Author(s):  
HELGA M. BÖHM ◽  
ROBERT HOLLER ◽  
ECKHARD KROTSCHECK ◽  
MARTIN PANHOLZER

We present a calculation of the excitation spectrum of the electron liquid that includes time-dependent pair correlations. For the charged boson fluid these correlations provide a major mechanism for lowering the plasmon energy; here we extend that study to the much more demanding fermionic case. Based on the formalism of correlated basis functions we derive coupled equations of motion for time-dependent 1- and 2-particle correlation amplitudes. Our solution strategy for these equations ensures the fulfillment of the first two energy–weighted sum rules and, in the appropriate limit, is consistent with the bosonic version. Results are presented for the dynamic structure factor with special emphasis being put on studying the double plasmon.


2014 ◽  
Vol 497 ◽  
pp. 012039 ◽  
Author(s):  
Adolfo Huet ◽  
Sang Pyo Kim ◽  
Christian Schubert
Keyword(s):  

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