Simulations of relativistic quantum plasmas using real-time lattice scalar QED
Abstract
Real-time lattice quantum electrodynamics (QED) provides a unique tool for simulating plasmas in the strong-field regime, where collective plasma scales are not well separated from relativistic-quantum scales. As a toy model, we study scalar QED, which describes self-consistent interactions between charged bosons and electromagnetic fields. To solve this model on a computer, we first discretize the scalar-QED action on a lattice, in a way that respects geometric structures of exterior calculus and U(1)-gauge symmetry. The lattice scalar QED can then be solved, in the classical-statistics regime, by advancing an ensemble of statistically equivalent initial conditions in time, using classical field equations obtained by extremizing the discrete action. To demonstrate the capability of our numerical scheme, we apply it to two example problems. The first example is the propagation of linear waves, where we recover analytic wave dispersion relations using numerical spectrum. The second example is an intense laser interacting with a one-dimensional plasma slab, where we demonstrate natural transition from wakefield acceleration to pair production when the wave amplitude exceeds the Schwinger threshold. Our real-time lattice scheme is fully explicit and respects local conservation laws, making it reliable for long-time dynamics. The algorithm is readily parallelized using domain decomposition, andmore »
- Authors:
-
- Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences; Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- Univ. of Science and Technology of China, Hefei (China). School of Nuclear Science and Technology and Dept. of Modern Physics
- Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences; Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Univ. of Science and Technology of China, Hefei (China). School of Nuclear Science and Technology and Dept. of Modern Physics
- Publication Date:
- Research Org.:
- Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); National Natural Science Foundation of China (NSFC); Japan Society for the Promotion of Science (JSPS); Chinese Scholar Council (CSC); Chinese Academy of Sciences (CAS)
- OSTI Identifier:
- 1465665
- Alternate Identifier(s):
- OSTI ID: 1436538
- Grant/Contract Number:
- NA0002948; AC02-09CH11466; NSFC-11575185; 11575186; 11305171; NSFC-11261140328; QYZDB-SSW-SYS004; 201506340103; 2015GB111003; 2014GB124005
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review E
- Additional Journal Information:
- Journal Volume: 97; Journal Issue: 5; Journal ID: ISSN 2470-0045
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; laser-plasma interactions; lattice field theory; lattice gauge theory; nonlinear phenomena in plasmas; nonperturbative effects in field theory; particle acceleration in plasmas; radiation and particle generation in plasmas
Citation Formats
Shi, Yuan, Xiao, Jianyuan, Qin, Hong, and Fisch, Nathaniel J. Simulations of relativistic quantum plasmas using real-time lattice scalar QED. United States: N. p., 2018.
Web. doi:10.1103/PhysRevE.97.053206.
Shi, Yuan, Xiao, Jianyuan, Qin, Hong, & Fisch, Nathaniel J. Simulations of relativistic quantum plasmas using real-time lattice scalar QED. United States. https://doi.org/10.1103/PhysRevE.97.053206
Shi, Yuan, Xiao, Jianyuan, Qin, Hong, and Fisch, Nathaniel J. Wed .
"Simulations of relativistic quantum plasmas using real-time lattice scalar QED". United States. https://doi.org/10.1103/PhysRevE.97.053206. https://www.osti.gov/servlets/purl/1465665.
@article{osti_1465665,
title = {Simulations of relativistic quantum plasmas using real-time lattice scalar QED},
author = {Shi, Yuan and Xiao, Jianyuan and Qin, Hong and Fisch, Nathaniel J.},
abstractNote = {Real-time lattice quantum electrodynamics (QED) provides a unique tool for simulating plasmas in the strong-field regime, where collective plasma scales are not well separated from relativistic-quantum scales. As a toy model, we study scalar QED, which describes self-consistent interactions between charged bosons and electromagnetic fields. To solve this model on a computer, we first discretize the scalar-QED action on a lattice, in a way that respects geometric structures of exterior calculus and U(1)-gauge symmetry. The lattice scalar QED can then be solved, in the classical-statistics regime, by advancing an ensemble of statistically equivalent initial conditions in time, using classical field equations obtained by extremizing the discrete action. To demonstrate the capability of our numerical scheme, we apply it to two example problems. The first example is the propagation of linear waves, where we recover analytic wave dispersion relations using numerical spectrum. The second example is an intense laser interacting with a one-dimensional plasma slab, where we demonstrate natural transition from wakefield acceleration to pair production when the wave amplitude exceeds the Schwinger threshold. Our real-time lattice scheme is fully explicit and respects local conservation laws, making it reliable for long-time dynamics. The algorithm is readily parallelized using domain decomposition, and the ensemble may also be computed using quantum parallelism in the future.},
doi = {10.1103/PhysRevE.97.053206},
journal = {Physical Review E},
number = 5,
volume = 97,
place = {United States},
year = {Wed May 09 00:00:00 EDT 2018},
month = {Wed May 09 00:00:00 EDT 2018}
}
Web of Science
Figures / Tables:
Works referenced in this record:
Laser Field Absorption in Self-Generated Electron-Positron Pair Plasma
journal, January 2011
- Nerush, E. N.; Kostyukov, I. Yu.; Fedotov, A. M.
- Physical Review Letters, Vol. 106, Issue 3
Pair Production by Ultraintense Lasers
journal, November 1998
- Liang, Edison P.; Wilks, Scott C.; Tabak, Max
- Physical Review Letters, Vol. 81, Issue 22
Momentum Signatures for Schwinger Pair Production in Short Laser Pulses with a Subcycle Structure
journal, April 2009
- Hebenstreit, F.; Alkofer, R.; Dunne, G. V.
- Physical Review Letters, Vol. 102, Issue 15
Boltzmann equation in classical and quantum field theory
journal, July 2005
- Jeon, Sangyong
- Physical Review C, Vol. 72, Issue 1
Quantum Effects with an X-Ray Free-Electron Laser
journal, September 2002
- Roberts, C. D.; Schmidt, S. M.; Vinnik, D. V.
- Physical Review Letters, Vol. 89, Issue 15
High e+/e− Ratio Dense Pair Creation with 1021W.cm−2 Laser Irradiating Solid Targets
journal, September 2015
- Liang, E.; Clarke, T.; Henderson, A.
- Scientific Reports, Vol. 5, Issue 1
Isolated attosecond pulses generated by relativistic effects in a wavelength-cubed focal volume
journal, January 2004
- Naumova, Natalia M.; Nees, John A.; Hou, Bixue
- Optics Letters, Vol. 29, Issue 7
Laser wake field acceleration: the highly non-linear broken-wave regime
journal, April 2002
- Pukhov, A.; Meyer-ter-Vehn, J.
- Applied Physics B: Lasers and Optics, Vol. 74, Issue 4-5
Fermion production from real-time lattice gauge theory in the classical-statistical regime
journal, July 2014
- Kasper, V.; Hebenstreit, F.; Berges, J.
- Physical Review D, Vol. 90, Issue 2
Electron acceleration by a laser pulse in a plasma
journal, August 1996
- McKinstrie, C. J.; Startsev, E. A.
- Physical Review E, Vol. 54, Issue 2
Quantum versus classical statistical dynamics of an ultracold Bose gas
journal, September 2007
- Berges, Jürgen; Gasenzer, Thomas
- Physical Review A, Vol. 76, Issue 3
An introduction to chiral symmetry on the lattice
journal, October 2004
- Chandrasekharan, S.
- Progress in Particle and Nuclear Physics, Vol. 53, Issue 2
Frequency Up-Conversion of Electromagnetic Radiation with Use of an Overdense Plasma
journal, July 1988
- Wilks, S. C.; Dawson, J. M.; Mori, W. B.
- Physical Review Letters, Vol. 61, Issue 3
Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory
journal, November 2010
- Hebenstreit, F.; Alkofer, R.; Gies, H.
- Physical Review D, Vol. 82, Issue 10
On Gauge Invariance and Vacuum Polarization
journal, June 1951
- Schwinger, Julian
- Physical Review, Vol. 82, Issue 5
Canonical symplectic particle-in-cell method for long-term large-scale simulations of the Vlasov–Maxwell equations
journal, December 2015
- Qin, Hong; Liu, Jian; Xiao, Jianyuan
- Nuclear Fusion, Vol. 56, Issue 1
Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
journal, May 1966
- Kane Yee,
- IEEE Transactions on Antennas and Propagation, Vol. 14, Issue 3
Quantum mechanical computers
journal, June 1986
- Feynman, Richard P.
- Foundations of Physics, Vol. 16, Issue 6
Classical Aspects of Quantum Fields Far from Equilibrium
journal, January 2002
- Aarts, Gert; Berges, Jürgen
- Physical Review Letters, Vol. 88, Issue 4
Basin of attraction for turbulent thermalization and the range of validity of classical-statistical simulations
journal, May 2014
- Berges, J.; Boguslavski, K.; Schlichting, S.
- Journal of High Energy Physics, Vol. 2014, Issue 5
A no-go theorem for regularizing chiral fermions
journal, October 1981
- Nielsen, H. B.; Ninomiya, M.
- Physics Letters B, Vol. 105, Issue 2-3
Response theory of particle-anti-particle plasmas
journal, September 1985
- Kowalenko, Victor; Frankel, Norman E.; Hines, Kenneth C.
- Physics Reports, Vol. 126, Issue 3
Simulating fermion production in dimensional QED
journal, May 2013
- Hebenstreit, F.; Berges, J.; Gelfand, D.
- Physical Review D, Vol. 87, Issue 10
Formulation of the Schwinger mechanism in classical statistical field theory
journal, June 2013
- Gelis, François; Tanji, Naoto
- Physical Review D, Vol. 87, Issue 12
Generation of neutral and high-density electron–positron pair plasmas in the laboratory
journal, April 2015
- Sarri, G.; Poder, K.; Cole, J. M.
- Nature Communications, Vol. 6, Issue 1
Monte Carlo calculations of pair production in high-intensity laser–plasma interactions
journal, November 2010
- Duclous, R.; Kirk, J. G.; Bell, A. R.
- Plasma Physics and Controlled Fusion, Vol. 53, Issue 1
Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems
journal, November 2015
- Xiao, Jianyuan; Qin, Hong; Liu, Jian
- Physics of Plasmas, Vol. 22, Issue 11
Signatures of quark-gluon plasma formation in high energy heavy-ion collisions: a critical review
journal, January 1999
- Bass, S. A.; Gyulassy, M.; Stöcker, H.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 25, Issue 3
Quantum corrections to the dynamics of interacting bosons: Beyond the truncated Wigner approximation
journal, November 2003
- Polkovnikov, Anatoli
- Physical Review A, Vol. 68, Issue 5
Relativistic charged Bose gas
journal, December 1978
- Hines, D. F.; Frabkel, N. E.
- Physics Letters A, Vol. 69, Issue 4
Colour deconfinement in nuclear collisions
journal, August 2000
- Satz, Helmut
- Reports on Progress in Physics, Vol. 63, Issue 9
Monte Carlo study of quantized SU(2) gauge theory
journal, April 1980
- Creutz, Michael
- Physical Review D, Vol. 21, Issue 8
Dense Electron-Positron Plasmas and Ultraintense rays from Laser-Irradiated Solids
journal, April 2012
- Ridgers, C. P.; Brady, C. S.; Duclous, R.
- Physical Review Letters, Vol. 108, Issue 16
Damping of linear waves via ionization and recombination in homogeneous plasmas
journal, November 2010
- Dodin, I. Y.; Fisch, N. J.
- Physics of Plasmas, Vol. 17, Issue 11
Relativistic laser-plasma interactions in the quantum regime
journal, April 2011
- Eliasson, Bengt; Shukla, P. K.
- Physical Review E, Vol. 83, Issue 4
A variational multi-symplectic particle-in-cell algorithm with smoothing functions for the Vlasov-Maxwell system
journal, October 2013
- Xiao, Jianyuan; Liu, Jian; Qin, Hong
- Physics of Plasmas, Vol. 20, Issue 10
High-Energy Trident Production with Definite Helicities
journal, February 1967
- Bjorken, J. D.; Chen, M. C.
- Physical Review, Vol. 154, Issue 5
Real-time dynamics with fermions on a lattice
journal, August 1999
- Aarts, Gert; Smit, Jan
- Nuclear Physics B, Vol. 555, Issue 1-2
Real-Time Dynamics of String Breaking
journal, November 2013
- Hebenstreit, F.; Berges, J.; Gelfand, D.
- Physical Review Letters, Vol. 111, Issue 20
Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
journal, June 2016
- Martinez, Esteban A.; Muschik, Christine A.; Schindler, Philipp
- Nature, Vol. 534, Issue 7608
Low-cost fermions in classical field simulations
journal, March 2009
- Borsányi, Sz.; Hindmarsh, M.
- Physical Review D, Vol. 79, Issue 6
Ponderomotive acceleration of hot electrons in tenuous plasmas
journal, September 2009
- Geyko, V. I.; Fraiman, G. M.; Dodin, I. Y.
- Physical Review E, Vol. 80, Issue 3
On the equivalence between the Boltzmann equation and classical field theory at large occupation numbers
journal, March 2004
- Mueller, A. H.; Son, D. T.
- Physics Letters B, Vol. 582, Issue 3-4
Zitterbewegung and the Klein paradox for spin‐zero particles
journal, June 1982
- Fuda, Michael G.; Furlani, Edward
- American Journal of Physics, Vol. 50, Issue 6
Chiral Magnetic Effect and Anomalous Transport from Real-Time Lattice Simulations
journal, September 2016
- Müller, Niklas; Schlichting, Sören; Sharma, Sayantan
- Physical Review Letters, Vol. 117, Issue 14
Anomaly-Induced Dynamical Refringence in Strong-Field QED
journal, August 2016
- Mueller, N.; Hebenstreit, F.; Berges, J.
- Physical Review Letters, Vol. 117, Issue 6
On the Stopping of Fast Particles and on the Creation of Positive Electrons
journal, August 1934
- Bethe, H.; Heitler, W.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 146, Issue 856
Discretizing the Maxwell-Klein-Gordon equation by the lattice gauge theory formalism
journal, September 2009
- Christiansen, S. H.; Halvorsen, T. G.
- IMA Journal of Numerical Analysis, Vol. 31, Issue 1
Generating positrons with femtosecond-laser pulses
journal, October 2000
- Gahn, C.; Tsakiris, G. D.; Pretzler, G.
- Applied Physics Letters, Vol. 77, Issue 17
Quantum Vlasov equation and its Markov limit
journal, November 1998
- Kluger, Yuval; Mottola, Emil; Eisenberg, Judah M.
- Physical Review D, Vol. 58, Issue 12
Collision of Two Light Quanta
journal, December 1934
- Breit, G.; Wheeler, John A.
- Physical Review, Vol. 46, Issue 12
Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories
journal, July 2013
- Wiese, U. ‐J.
- Annalen der Physik, Vol. 525, Issue 10-11
Effective-action approach to wave propagation in scalar QED plasmas
journal, July 2016
- Shi, Yuan; Fisch, Nathaniel J.; Qin, Hong
- Physical Review A, Vol. 94, Issue 1
Brownian Motion of a Quantum Oscillator
journal, May 1961
- Schwinger, Julian
- Journal of Mathematical Physics, Vol. 2, Issue 3
Dynamically Assisted Schwinger Mechanism
journal, September 2008
- Schützhold, Ralf; Gies, Holger; Dunne, Gerald
- Physical Review Letters, Vol. 101, Issue 13
A Quantum Kinetic Equation for Particle Production in the Schwinger Mechanism
journal, December 1998
- Schmidt, S.; Blaschke, D.; Röpke, G.
- International Journal of Modern Physics E, Vol. 07, Issue 06
Pair production in a strong wake field driven by an intense short laser pulse
journal, November 1992
- Berezhiani, V. I.; Tskhakaya, D. D.; Shukla, P. K.
- Physical Review A, Vol. 46, Issue 10
Geometric integration of the Vlasov-Maxwell system with a variational particle-in-cell scheme
journal, August 2012
- Squire, J.; Qin, H.; Tang, W. M.
- Physics of Plasmas, Vol. 19, Issue 8
Pair production beyond the Schwinger formula in time-dependent electric fields
journal, September 2008
- Hebenstreit, F.; Alkofer, R.; Gies, H.
- Physical Review D, Vol. 78, Issue 6
Works referencing / citing this record:
Symmetries and local conservation laws of variational schemes for the surface plasmon polaritons
journal, April 2019
- Chen, Qiang; Hao, Xiaojun; Wang, Chuanchuan
- Physics of Plasmas, Vol. 26, Issue 4
Figures / Tables found in this record: