Matter and Radiation at Extremes, Volume. 2, Issue 5, 225(2017)
Electron-positron pair production in ultrastrong laser fields
[1] [1] P.A.M. Dirac, The quantum theory of the electron, Proc. Roy. Soc. Lond. A 117 (1928) 610-624.
[2] [2] C.D. Anderson, The positive electron, Phys. Rev. 43 (1933), 491C494.
[3] [3] F. Sauter, Ber das Verhalten eines Elektrons im homogenen elektrischen Feld nach der relativistischenTheorie Diracs, Z. Phys. 69 (1931) 742-764.
[4] [4] W. Heisenberg, H. Euler, Consequences of Dirac's theory of positrons, Z. Phys. 98 (1936) 714-732.
[5] [5] J. Schwinger, On gauge invariance and vacuum polarization, Phys. Rev. 82 (1951) 664-679.
[6] [6] N.B. Narozhnyi, A.I. Nikishov, The simplest processes in the pair creating electric field, Yad. Fiz. 11 (1970) 1072 [Sov. J. Nucl. Phys. 11 (1970) 596].
[7] [7] V.S. Popov, Pair production in a variable external field (quasiclassical approximation), Sov. Phys. JETP 34 (1972) 709.
[8] [8] E. Brezin, C. Itzykson, Pair production in vacuum by an alternating field, Phys. Rev. D. 2 (1970) 1191-1199.
[9] [9] T. Tajima, G. Mourou, Zettawatt-exawatt lasers and their applications in ultrastrong-field physics, Phys. Rev. ST Accel. Beams 5 (2002) 031301.
[10] [10] G.A. Mourou, T. Tajima, S.V. Bulanov, Optics in the relativistic regime, Rev. Mod. Phys. 78 (2006) 309-371.
[11] [11] V. Yanovsky, V. Chvykov, G. Kalinchenko, P. Rousseau, T. Planchon, et al., Ultra-high intensity- 300-TW laser at 0.1 Hz repetition rate, Opt. Express 16 (2008) 2109e2114.
[12] [12] ELI: http://www.eli-beams.eu/.
[13] [13] XCELS: http://www.xcels.iapras.ru/.
[14] [14] HiPER: http://www.hiper-laser.org/.
[15] [15] L.D. Landau, E.M. Lifshitz, The Classical Theory of Fields, Elsevier, Oxford, 1975.
[16] [16] E.J. Moniz, D.H. Sharp, Radiation reaction in nonrelativistic quantum electrodynamics, Phys. Rev. D 15 (1977) 2850-2865.
[17] [17] C. Harvey, T. Heinzl, M. Marklund, Symmetry breaking from radiation reaction in ultra-intense laser fields, Phys. Rev. D 84 (2011) 116005.
[18] [18] C. Harvey, M. Marklund, Radiation damping in pulsed Gaussian beams, Phys. Rev. A 85 (2012) 013412.
[19] [19] V.B. Berestetskii, E.M. Lifshitz, L.P. Pitaevskii, Quantum Electrodynamics, Elsevier Butterworth-Heinemann, Oxford, 1982.
[20] [20] W. Dittrich, M. Reuter, Effective Lagrangians in Quantum Electrodynamics, Springer, Heidelberg, 1985.
[21] [21] W. Dittrich, H. Gies, Probing the Quantum Vacuum, Springer, Heidelberg, 2000.
[22] [22] A. Ringwald, Pair production from vacuum at the focus of an X-ray free electron laser, Phys. Lett. B 510 (2001) 107-116.
[23] [23] http://www.xfel.eu/.
[24] [24] R. Alkofer, M.B. Hecht, C.D. Roberts, S.M. Schmidt, D.V. Vinnik, Pair creation and anX-ray free electron laser, Phys. Rev. Lett. 87 (2001) 193902.
[25] [25] C.D. Roberts, S.M. Schmidt, D.V. Vinnik, Quantum effects with an Xray free-electron laser, Phys. Rev. Lett. 89 (2002) 153901.
[26] [26] A. Di Piazza, C. Mu¨ller, K.Z. Hatsagortsyan, C.H. Keitel, Extremely high-intensity laser interactions with fundamental quantum systems, Rev. Mod. Phys. 84 (2012) 1177-1228.
[27] [27] I.K. Affleck, O. Alvarez, N.S. Manton, Pair production at strong coupling in weak external fields, Nucl. Phys. B 197 (1982) 509-519.
[28] [28] S.P. Kim, D.N. Page, Schwinger pair production via instantons in strong electric fields, Phys. Rev. D 65 (2002) 105002.
[29] [29] G.V. Dunne, C. Schubert, Worldline instantons and pair production in inhomogenous fields, Phys. Rev. D 72 (2005) 105004.
[30] [30] G.V. Dunne, Q.H. Wang, Multidimensional worldline instantons, Phys. Rev. D 74 (2006) 065015.
[31] [31] R. Schu¨tzhold, H. Gies, G. Dunne, Dynamically assisted Schwinger mechanism, Phys. Rev. Lett. 101 (2008) 130404.
[32] [32] B.S. Xie, M. Mohamedsedik, S. Dulat, Electron-positron pair production in an elliptic polarized time varying field, Chin. Phys. Lett. 29 (2012) 021102.
[33] [33] C. Muller, A.B. Voitkiv, N. Grun, Differential rates for multiphoton pair production by an ultrarelativistic nucleus colliding with an intense laser beam, Phys. Rev. A 67 (2003) 063407.
[34] [34] C. Mu¨ ller, A.B. Voitkiv, N. Gru¨n, Nonlinear bound-free pair creation in the strong electromagnetic fields of a heavy nucleus and an intense Xray laser, Phys. Rev. Lett. 91 (2003) 223601.
[35] [35] C. Deneke, C. Muller, Bound-free ete pair creation with a linearly polarized laser field and a nuclear field, Phys. Rev. A 78 (2008) 033431.
[36] [36] H.Y. Hu, C. Mu¨ller, C.H. Keitel, Complete QED theory of multiphoton trident pair production in strong laser fields, Phys. Rev. Lett. 105 (2010) 080401.
[37] [37] A. Ilderton, Trident pair production in strong laser pulses, Phys. Rev. Lett. 106 (2011) 020404.
[38] [38] L.Y. He, B.S. Xie, X.H. Guo, H.Y. Wang, Electron-positron pair production in an arbitrary polarized ultrastrong laser field, Commun. Theor. Phys. 58 (2012) 863-871.
[39] [39] S.S. Bulanov, Pair production by a circularly polarized electromagnetic wave in a plasma, Phys. Rev. E 69 (2004) 036408.
[40] [40] C.K. Dumlu, G.V. Dunne, Stokes phenomenon and Schwinger vacuum pair production in time-dependent laser pulses, Phys. Rev. Lett. 104 (2010) 250402.
[41] [41] E. Akkermans, G.V. Dunne, Ramsey fringes and time-domain multipleslit interference from vacuum, Phys. Rev. Lett. 108 (2012) 030401.
[42] [42] Z.L. Li, D. Lu, B.S. Xie, Multiple-slit interference effect in the time domain for boson pair production, Phys. Rev. D 89 (2014) 067701.
[43] [43] E. Strobel, S.S. Xue, Semiclassical pair production rate for rotating electric fields, Phys. Rev. D 91 (2015) 045016.
[44] [44] D.B. Blaschke, A.V. Prozorkevich, C.D. Roberts, S.M. Schmidt, S.A. Smolyansky, Pair production and optical lasers, Phys. Rev. Lett. 96 (2006) 140402.
[45] [45] F. Hebenstreit, R. Alkofer, G.V. Dunne, H. Gies, Momentum signatures for Schwinger pair production in short laser pulses with a subcycle structure, Phys. Rev. Lett. 102 (2009) 150404.
[46] [46] A. Nuriman, B.S. Xie, Z.L. Li, D. Sayipjamal, Enhanced electronpositron pair creation by dynamically assisted combinational fields, Phys. Lett. B 717 (2012) 465-469.
[47] [47] N. Abdukerim, Z.L. Li, B.S. Xie, Effects of laser pulse shape and carrier envelope phase on pair production, Phys. Lett. B 726 (2013) 820-826.
[48] [48] Z.L. Li, D. Lu, B.S. Xie, L.B. Fu, J. Liu, B.F. Shen, Enhanced pair production in strong fields by multiple-slit interference effect with dynamically assisted Schwinger mechanism, Phys. Rev. D 89 (2014) 093011.
[49] [49] C. Kohlfu¨ rst, H. Gies, R. Alkofer, Effective mass signatures in multiphoton pair production, Phys. Rev. Lett. 112 (2014) 050402.
[50] [50] A. Blinne, H. Gies, Pair production in rotating electric fields, Phys. Rev. D 89 (2014) 085001.
[51] [51] Z.L. Li, D. Lu, B.S. Xie, Effects of electric field polarizations on pair production, Phys. Rev. D 92 (2015) 085001.
[52] [52] Z.L. Li, D. Lu, B.S. Xie, B.F. Shen, L.B. Fu, J. Liu, Nonperturbative signatures in pair production for general elliptic polarization fields, Europhys. Lett. 110 (2015) 51001.
[53] [53] J.W. Braun, Q. Su, R. Grobe, Numerical approach to solve the timedependent Dirac equation, Phys. Rev. A 59 (1999) 604-612.
[54] [54] P. Krekora, Q. Su, R. Grobe, Klein paradox in spatial and temporal resolution, Phys. Rev. Lett. 92 (2004) 040406.
[55] [55] P. Krekora, Q. Su, R. Grobe, Relativistic electron localization and the lack of zitterbewegung, Phys. Rev. Lett. 93 (2004) 043004.
[56] [56] P. Krekora, Q. Su, R. Grobe, Klein paradox with spin-resolved electrons and positrons, Phys. Rev. A 72 (2005) 064103.
[57] [57] P. Krekora, K. Cooley, Q. Su, R. Grobe, Creation dynamics of bound states in supercritical fields, Phys. Rev. Lett. 95 (2005) 070403.
[58] [58] C.C. Gerry, Q. Su, R. Grobe, Timing of pair production in timedependent force fields, Phys. Rev. A 74 (2006) 044103.
[59] [59] M. Jiang, W. Su, Z.Q. Lv, X. Lu, Y.J. Li, et al., Pair creation enhancement due to combined external fields, Phys. Rev. A 85 (2012) 033408.
[60] [60] S. Tang, B.S. Xie, D. Lu, H.Y. Wang, L.B. Fu, J. Liu, Electron-positron pair creation and correlation between momentum and energy level in a symmetric potential well, Phys. Rev. A 88 (2013) 012106.
[61] [61] F. Hebenstreit, J. Berges, D. Gelfand, Simulating fermion production in 1t1 dimensional QED, Phys. Rev. D 87 (2013) 105006.
[62] [62] V. Kasper, F. Hebenstreit, J. Berges, Fermion production from real-time lattice gauge theory in the classical-statistical regime, Phys. Rev. D 90 (2014) 025016.
[63] [63] N. Mueller, F. Hebenstreit, J. Berges, Anomaly-induced dynamical refringence in strong-field QED, Phys. Rev. Lett. 117 (2016) 061601.
[64] [64] F. Gelis, N. Tanji, Formulation of the Schwinger mechanism in classical statistical field theory, Phys. Rev. D 87 (2013) 125035.
[65] [65] D.L. Burke, R.C. Field, G. Horton-Smith, J.E. Spencer, D. Walz, et al., Positron production in multiphoton light-by-light scattering, Phys. Rev. Lett. 79 (1997) 1626-1629.
[66] [66] C. Bamber, S.J. Boege, T. Koffas, T. Kotseroglou, A.C. Melissinos, et al., Studies of nonlinear QED in collisions of 46.6 GeV electrons with intense laser pulses, Phys. Rev. D 60 (1999) 092004.
[67] [67] L.V. Keldysh, Ionization in the field of a strong electromagnetic wave, Sov. Phys. JETP 20 (1965) 1307-1314.
[68] [68] A.M. Perelomov, V.S. Popov, M.V. Terent ev, Ionization of atoms in an alternating electric field, Sov. Phys. JETP 23 (1966) 924-934.
[69] [69] A.M. Perelomov, V.S. Popov, M.V. Terent ev, Ionization of atoms in an alternating electric field: II, Sov. Phys. JETP 24 (1967) 207-217.
[70] [70] V.I. Usachenko, V.A. Pazdzersky, J.K. McIver, Reexamination of highenergy above-threshold ionization (ATI): an alternative strong-field ATI model, Phys. Rev. A 69 (2004) 013406.
[71] [71] Y.V. Vanne, A. Saenz, Exact Keldysh theory of strong-field ionization: residue method versus saddle point approximation, Phys. Rev. A 75 (2007) 033403.
[72] [72] C. Bula, K.T. McDonald, E.J. Prebys, C. Bamber, S. Boege, et al., Observation of nonlinear effects in Compton scattering, Phys. Rev. Lett. 76 (1996) 3116-3119.
[73] [73] J. Reinhardt, W. Greiner, Quantum electrodynamics of strong fields, Rept. Prog. Phys. 40 (1977) 219-295.
[74] [74] R.P. Feynman, An operator calculus having applications in quantum electrodynamics, Phys. Rev. 84 (1951) 108-128.
[75] [75] C. Schubert, Perturbative quantum field theory in the string-inspired formalism, Phys. Rep. 355 (2001) 73-234.
[76] [76] V.S. Popov, M.S. Marinov, EtE pair production in variable electric field, Yad. Fiz. 16 (1972) 809 [Sov. J. Nucl. Phys. 16 (1973) 449].
[77] [77] C.K. Dumlu, Multidimensional quantum tunneling in the Schwinger effect, Phys. Rev. D 93 (2016) 065045.
[78] [78] D.M. Volkov, U¨ ber eine Klasse von L€osungen der Diracschen Gleichung, Z. Phys. 94 (1935) 250e260.
[79] [79] H.R. Reiss, Absorption of light by light, J. Math. Phys. 3 (1962) 59e67.
[80] [80] A.I. Nikishov, V.I. Ritus, Quantum processes in the field of a circularly polarized electromagnetic wave, Sov. Phys. JETP 19 (1964) 769-796.
[81] [81] W. Greiner, J. Reinhardt, Quantum Electrodynamics, fourth ed., Springer-Verlag, Berlin Heidelberg, 2009.
[82] [82] M. Mohamedsedik, B.S. Xie, S. Dulat, Analytical study of pair production rate from vacuum in an elliptic polarized field by a two-level transition technique, Commun. Theor. Phys. 57 (2012) 422.
[83] [83] S. Schmidt, D. Blaschke, G. R€opke, S.A. Smolyansky, A.V. Prozorkevich, et al., A quantum kinetic equation for particle production in the Schwinger mechanism, Int. J. Mod. Phys. E 7 (1998) 709.
[84] [84] S. Schmidt, D. Blaschke, G. R€opke, A.V. Prozorkevich, S.A. Smolyansky, et al., Non-markovian effects in strong-field pair creation, Phys. Rev. D 59 (1999) 094005.
[85] [85] J.C.R. Bloch, V.A. Mizerny, A.V. Prozorkevich, C.D. Roberts, S.M. Schmidt, et al., Pair creation: back reactions and damping, Phys. Rev. D 60 (1999) 116011.
[86] [86] F. Hebenstreit, F. Fillion-Gourdeau, Optimization of Schwinger pair production in colliding laser pulses, Phys. Lett. B 739 (2014) 189.
[87] [87] M. Pont, M. Gavrila, Stabilization of atomic hydrogen in superintense, high-frequency laser fields of circular polarization, Phys. Rev. Lett. 65 (1990) 2362-2365.
[88] [88] B.S. Xie, Classical intense-field stabilization analysis by fourdimensional mapapproximation, Phys. Lett. A 242 (1998) 79-82.
[89] [89] C. Kohlfu¨ rst, Electron-positron pair production in structured pulses of electric fields, arXiv:1212.0880.
[90] [90] C. Kohlfu¨ rst, M. Mitter, G. Von Winckel, F. Hebenstreit, R. Alkofer, Optimizing the pulse shape for Schwinger pair production, Phys. Rev. D 88 (2013) 045028.
[91] [91] I. Bialynicki-Birula, P. G ornicki, J. Rafelski, Phase-space structure of the Dirac vacuum, Phys. Rev. D 44 (1991) 1825-1835.
[92] [92] F. Hebenstreit, R. Alkofer, H. Gies, Schwinger pair production in spaceand time-dependent electric fields: relating the Wigner formalism to quantum kinetic theory, Phys. Rev. D 82 (2010) 105026.
[93] [93] F. Hebenstreit, R. Alkofer, H. Gies, Particle self-bunching in the Schwinger effect in spacetime-dependent electric fields, Phys. Rev. Lett. 107 (2011) 180403.
[94] [94] C. Kohlfu¨rst, R. Alkofer, On the effect of time-dependent inhomogeneous magnetic fields in electronepositron pair production, Phys. Lett. B 756 (2016) 371.
[95] [95] G.R. Mocken, M. Ruf, C. Mu¨ller, C.H. Keitel, Nonperturbative multiphoton electron-positronepair creation in laser fields, Phys. Rev. A 81 (2010) 022122.
[96] [96] M. Ruf, G.R. Mocken, C. Mu¨ller, K.Z. Hatsagortsyan, C.H. Keitel, Pair production in laser fields oscillating in space and time, Phys. Rev. Lett. 102 (2009) 080402.
[97] [97] C.K. Dumlu, G.V. Dunne, Interference effects in Schwinger vacuum pair production for time-dependent laser pulses, Phys. Rev. D. 83 (2011) 065028.
[98] [98] A.N. Pfeiffer, C. Cirelli, M. Smolarski, D. Dimitrovski, M. Abu-samha, et al., Attoclock reveals natural coordinates of the laser-induced tunnelling current flow in atoms, Nat. Phys. 8 (2012) 76-80.
[99] [99] A.N. Pfeiffer, C. Cirelli, A.S. Landsman, M. Smolarski, D. Dimitrovski, et al., Probing the longitudinal momentum spread of the electron wave packet at the tunnel exit, Phys. Rev. Lett. 109 (2012) 083002.
[100] [100] C. Hofmann, A.S. Landsman, A. Zielinski, C. Cirelli, T. Zimmermann, et al., Interpreting electron-momentum distributions and nonadiabaticity in strong-field ionization, Phys. Rev. A 90 (2014) 043406.
[101] [101] S.S. Schweber, An Introduction to Relativistic Quantum Field Theory, Harper & Row, New York, 1962.
[102] [102] W. Greiner, Relativistic Quantum Mechanics: Wave Equations, third ed., Springer-Verlag, Berlin Heidelberg, 2000.
[103] [103] C. Mu¨ller, K.Z. Hatsagortsyan, C.H. Keitel, Muon pair creation from positronium in a linearly polarized laser field, Phys. Rev. A 78 (2008) 033408.
[104] [104] C. Mu¨ller, C. Deneke, C.H. Keitel, Muon-pair creation by two X-ray laser photons in the field of an atomic nucleus, Phys. Rev. Lett. 101 (2008) 060402.
[105] [105] I.V. Sokolov, N.M. Naumova, J.A. Nees, G.A. Mourou, Pair creation in QED-strong pulsed laser fields interacting with electron beams, Phys. Rev. Lett. 105 (2010) 195005.
[106] [106] S. Tang, M. Ali Bake, H.Y. Wang, B.S. Xie, QED cascades induced by high energy g photon in strong laser field, Phys. Rev.A89 (2014) 022105.
[107] [107] C.P. Ridgers, C.S. Brady, R. Duclous, J.G. Kirk, K. Bennett, et al., Dense electron-positron plasmas and ultraintense rays from laserirradiated solids, Phys. Rev. Lett. 108 (2012) 165006.
[108] [108] M.H. Thoma, Colloquium: field theoretic description of ultrarelativistic electron-positron plasmas, Rev. Mod. Phys. 81 (2009) 959-968.
[109] [109] Y.S. Huang, Quantum-electrodynamical birefringence vanishing in a thermal relativistic pair plasma, Sci. Rep. 5 (2015) 15866.
[110] [110] C. Schneider, R. Schu¨tzhold, Prefactor in the dynamically assisted Sauter-Schwinger effect, Phys. Rev. D 94 (2016) 085015.
[111] [111] A. Blinne, E. Strobel, Comparison of semiclassical and Wigner function methods in pair production in rotating fields, Phys. Rev. D 93 (2016) 025014.
[112] [112] N. Abdukerim, Z.L. Li, B.S. Xie, Enhanced electronepositron pair production by frequency chirping in one- and two-color laser pulse fields, Chin. Phys. B 26 (2017) 020301.
[113] [113] I. Sitiwaldi, B.S. Xie, Modulation effect in multiphoton pair production, Phys. Lett. B 768 (2017) 174-179.
[114] [114] Q. Wang, J. Liu, L.B. Fu, Pumping electron-positron pairs from a well potential, Sci. Rep. 6 (2016) 25292.
[115] [115] I.A. Aleksandrov, G. Plunien, V.M. Shabaev, Electron-positron pair production in external electric fields varying both in space and time, Phys. Rev. D 94 (2016) 065024.
[116] [116] K. Fukushima, T. Hayata, Schwinger mechanism with stochastic quantization, Phys. Lett. B 735 (2014) 371.
[117] [117] F. Gelis, K. Kajantie, T. Lappi, Chemical thermalization in relativistic heavy ion collisions, Phys. Rev. Lett. 96 (2006) 032304.
[118] [118] P.M. Saffin, A. Tranberg, Real-time fermions for baryogenesis simulations, J. High Energy Phys. 7 (2011) 66.
[119] [119] V.V. Skokov, P. Lvai, Transverse and longitudinal momentum spectra of fermions produced in strong SU(2) fields, Phys. Rev. D. 78 (2008) 054004.
[120] [120] F. Cooper, J.F. Dawson, B. Mihaila, Casimir dependence of transverse distribution of pairs produced from a strong constant chromoelectric background field, Phys. Rev. D 78 (2008) 117901.
[121] [121] J.F. Dawson, B. Mihaila, F. Cooper, Dynamics of particle production by strong electric fields in non-Abelian plasmas, Phys. Rev. D 81 (2010) 054026.
[122] [122] D. Gelfand, F. Hebenstreit, J. Berges, Early quark production and approach to chemical equilibrium, Phys. Rev. D 93 (2016) 085001.
[123] [123] P.V. Buividovich, M.V. Ulybyshev, Numerical study of chiral plasma instability within the classical statistical field theory approach, Phys. Rev. D 94 (2016) 025009.
[124] [124] N. Mu¨ller, S. Schlichting, S. Sharma, Chiral magnetic effect and anomalous transport from real-time lattice simulations, Phys. Rev. Lett. 117 (2016) 142301.
[125] [125] F. Gelis, N. Tanji, Quark production in heavy ion collisions: formalism and boost invariant fermionic light-cone mode functions, J. High Energy Phys. 2 (2016) 126.
[126] [126] Gordon W. Semenoff, Konstantin Zarembo, Holographic schwinger effect, Phys. Rev. Lett. 107 (2011) 171601.
[127] [127] J. Sonner, Holographic Schwinger effect and the geometry of entanglement, Phys. Rev. Lett. 111 (2013) 211603.
[128] [128] M. Ghodrati, Schwinger effect and entanglement entropy in confining geometries, Phys. Rev. D 92 (2016) 065015.
[129] [129] M.R. Jia, Z.L. Li, C. Lv, F. Wan, B.S. Xie, Pair production in strong SU(2) background fields, Front. Phys. 12 (2017) 121101.
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Bai Song Xie, Zi Liang Li, Suo Tang. Electron-positron pair production in ultrastrong laser fields[J]. Matter and Radiation at Extremes, 2017, 2(5): 225
Category: Review article
Received: Feb. 24, 2017
Accepted: May. 19, 2017
Published Online: Jan. 17, 2018
The Author Email: Xie Bai Song (bsxie@bnu.edu.cn)