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  • Letter
  • Open Access

Entropy suppression through quantum interference in electric pulses

Gerald V. Dunne1,*, Adrien Florio2,3,†, and Dmitri E. Kharzeev2,3,‡

  • 1Department of Physics, University of Connecticut, Storrs, Connecticut 06269-3046, USA
  • 2Center for Nuclear Theory, Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794-3800, USA
  • 3Department of Physics, Brookhaven National Laboratory, Upton, New York 11973-5000, USA

  • *gerald.dunne@uconn.edu
  • †aflorio@bnl.gov
  • ‡dmitri.kharzeev@stonybrook.edu

Phys. Rev. D 108, L031901 – Published 9 August, 2023

DOI: https://doi.org/10.1103/PhysRevD.108.L031901

Abstract

The Schwinger process in strong electric fields creates particles and antiparticles that are entangled. The entropy of entanglement between particles and antiparticles has been found to be equal to the statistical Gibbs entropy of the produced system. Here we study the effect of quantum interference in sequences of electric pulses, and show that quantum interference suppresses the entanglement entropy of the created quantum state. This is potentially relevant to quantum-enhanced classical communications. Our results can be extended to a wide variety of two-level quantum systems.

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References (58)

  1. W. Heisenberg and H. Euler, Z. Phys. 98, 714 (1936).
  2. J. S. Schwinger, Phys. Rev. 82, 664 (1951).
  3. E. Brezin and C. Itzykson, Phys. Rev. D 2, 1191 (1970).
  4. N. B. Narozhnyi and A. I. Nikishov, Yad. Fiz. 11, 1072 (1970).
  5. M. S. Marinov and V. S. Popov, Fortschr. Phys. 25, 373 (1977).
  6. Y. Kluger, E. Mottola, and J. M. Eisenberg, Phys. Rev. D 58, 125015 (1998).
  7. S. P. Gavrilov and D. M. Gitman, Phys. Rev. D 53, 7162 (1996).
  8. S. P. Kim and D. N. Page, Phys. Rev. D 65, 105002 (2002).
  9. A. Ringwald, Phys. Lett. B 510, 107 (2001).
  10. G. V. Dunne, Eur. Phys. J. D 55, 327 (2009).
  11. F. Hebenstreit, R. Alkofer, and H. Gies, Phys. Rev. D 82, 105026 (2010).
  12. F. Gelis and N. Tanji, Prog. Part. Nucl. Phys. 87, 1 (2016).
  13. R. Schutzhold, H. Gies, and G. Dunne, Phys. Rev. Lett. 101, 130404 (2008).
  14. C. K. Dumlu and G. V. Dunne, Phys. Rev. Lett. 104, 250402 (2010).
  15. E. Akkermans and G. V. Dunne, Phys. Rev. Lett. 108, 030401 (2012).
  16. C. K. Dumlu and G. V. Dunne, Phys. Rev. D 83, 065028 (2011).
  17. Z. Ebadi and B. Mirza, Ann. Phys. (Amsterdam) 351, 363 (2014).
  18. A. Florio and D. E. Kharzeev, Phys. Rev. D 104, 056021 (2021).
  19. Y. Nishida, Phys. Rev. D 104, L031902 (2021).
  20. L. V. Keldysh, J. Exp. Theor. Phys. 20, 1307 (1965).
  21. F. Lindner, M. G. Schätzel, H. Walther, A. Baltuška, E. Goulielmakis, F. Krausz, D. B. Milošević, D. Bauer, W. Becker, and G. G. Paulus, Phys. Rev. Lett. 95, 040401 (2005).
  22. F. Krausz and M. Ivanov, Rev. Mod. Phys. 81, 163 (2009).
  23. E. Keski-Vakkuri and P. Kraus, Phys. Rev. D 54, 7407 (1996).
  24. D. Zueco, P. Hänggi, and S. Kohler, New J. Phys. 10, 115012 (2008).
  25. T. Oka and H. Aoki, Nonequilibrium quantum breakdown in a strongly correlated electron system, in Quantum and Semi-classical Percolation and Breakdown in Disordered Solids (Springer, New York, 2009), pp. 1–35.
  26. S. N. Shevchenko, S. Ashhab, and F. Nori, Phys. Rep. 492, 1 (2010).
  27. H. Li, V. A. Sautenkov, Y. V. Rostovtsev, M. M. Kash, P. M. Anisimov, G. R. Welch, and M. O. Scully, Phys. Rev. Lett. 104, 103001 (2010).
  28. P. K. Jha, Y. V. Rostovtsev, H. Li, V. A. Sautenkov, and M. O. Scully, Phys. Rev. A 83, 033404 (2011).
  29. W. H. Miller, J. Chem. Phys. 48, 1651 (1968).
  30. R. Saha and V. S. Batista, J. Phys. Chem. B 115, 5234 (2011).
  31. R. Brout, S. Massar, R. Parentani, and P. Spindel, Phys. Rep. 260, 329 (1995).
  32. M. K. Parikh and F. Wilczek, Phys. Rev. Lett. 85, 5042 (2000).
  33. G. E. Volovik, Pis’ma Zh. Eksp. Teor. Fiz. 116, 577 (2022).
  34. L. Parker, Phys. Rev. Lett. 21, 562 (1968).
  35. W. Greiner, B. Müller, and J. Rafelski, Quantum Electrodynamics of Strong Fields, Theoretical and Mathematical Physics, 1985th ed. (Springer, Berlin, Germany, 1985).
  36. D. Kharzeev and K. Tuchin, Nucl. Phys. A753, 316 (2005).
  37. D. Kharzeev, E. Levin, and K. Tuchin, Phys. Rev. C 75, 044903 (2007).
  38. D. B. Blaschke, S. A. Smolyansky, A. Panferov, and L. Juchnowski, Particle production in strong time-dependent fields, in Quantum Field Theory at the Limits: From Strong Fields to Heavy Quarks (MDPI, Basel, 2017), pp. 1–23.
  39. I. Klich and L. Levitov, Phys. Rev. Lett. 102, 100502 (2009).
  40. T. Goren, K. L. Hur, and E. Akkermans, arXiv:1611.06738.
  41. M.-T. Jaekel and S. Reynaud, Rep. Prog. Phys. 60, 863 (1997).
  42. V. Dodonov, Phys. Scr. 82, 038105 (2010).
  43. I. A. Burenkov, M. V. Jabir, and S. V. Polyakov, AVS Quantum Sci. 3, 025301 (2021).
  44. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevD.108.L031901 for more a more detailed derivation of the universal suppression observed [45].
  45. E. M. Stein and T. S. Murphy, Oscillatory Integrals of the First Kind (Princeton University Press, Princeton, NJ, 1993), pp. 329–374.
  46. N. Fröman and O. Dammert, Nucl. Phys. A147, 627 (1970).
  47. R. E. Meyer, J. Math. Phys. (N.Y.) 17, 1039 (1976).
  48. C. Rackauckas and Q. Nie, J. Open Res. Software 5, 15 (2017).
  49. B. Swingle, Quantum information scrambling: Boulder lectures (2018), https://boulderschool.yale.edu/sites/default/files/files/qi_boulder.pdf.
  50. C. E. Shannon, Bell Syst. Tech. J. 27, 379 (1948).
  51. M. Nielsen and I. Chuang, Quantum Computation and Quantum Information: 10th Anniversary Edition (Cambridge University Press, Cambridge, England, 2010).
  52. E. Akkermans, Eur. Phys. J. E 28, 199 (2009).
  53. L. S. Levitov, H. Lee, and G. B. Lesovik, J. Math. Phys. (N.Y.) 37, 4845 (1996).
  54. P. Erdös and R. Herndon, Adv. Phys. 31, 65 (1982).
  55. J. Gabelli and B. Reulet, Phys. Rev. B 87, 075403 (2013).
  56. A. Verdeny, J. Puig, and F. Mintert, Z. Naturforsch. A 71, 897 (2016).
  57. P. T. Dumitrescu, R. Vasseur, and A. C. Potter, Phys. Rev. Lett. 120, 070602 (2018).
  58. P. T. Dumitrescu, J. G. Bohnet, J. P. Gaebler, A. Hankin, D. Hayes, A. Kumar, B. Neyenhuis, R. Vasseur, and A. C. Potter, Nature (London) 607, 463 (2022).

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