INFINITE DIMENSIONAL OPTIMIZATION APPLIED TO PAIR CREATION FROM THE VACUUM

Publication Date

4-5-2019

Document Type

Poster

Degree Type

Undergraduate

Department

Physics

Mentor

Rainer Grobe

Mentor Department

Physics

Abstract

We examine the electron-positron pair creation process from the vacuum for general time-dependent external fields. By applying the framework of optimal control theory, we determine those temporal pulse shapes, that can maximize the final number of created positrons for a given set of momenta. In the perturbative regime of sufficiently small pulse energies or short interaction times, we obtain analytical forms that match the computational data of the optimal fields for the chosen sets of momenta. [1-7] This work has been supported by the NSF, NSFC and Research Corporation. [1] Q.Z. Lv, J. Unger, Y.T. Li, Q. Su and R. Grobe, Euro. Phys. Lett. 116, 40003 (2016). [2] Q.Z. Lv, J. Unger, Y.T. Li, Q. Su and R. Grobe, Phys. Rev. A 95, 023416 (2017). [3] N.D. Christensen, J. Unger, S. Pinto, Q. Su and R. Grobe, Ann. Phys. 389, 239 (2018). [4] S. Dong, R. Flores, J. Unger, Q. Su and R. Grobe, Phys. Rev. E 98, 012221 (2018). [5] J. Unger, S. Dong, R. Flores, Q. Su and R. Grobe, Laser Phys. (in press). [6] J. Unger, S. Dong, R. Flores, Q. Su and R. Grobe, Phys. Rev. A (in press). [7] J. Unger, S. Dong, Q. Su and R. Grobe, Phys. Rev. A (submitted).

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