Skip to main content
SpringerLink
Log in

Transient Synchronization in Open Quantum Systems

  • Conference paper
  • First Online:
Advances in Open Systems and Fundamental Tests of Quantum Mechanics

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 237))

Abstract

The phenomenon of spontaneous synchronization arises in a broad range of systems when the mutual interaction strength among components overcomes the effect of detuning.  Recently, it has been studied also in the quantum regime with a variety of approaches and in different dynamical contexts.  We review here transient synchronization arising during the relaxation of open quantum systems, describing the common enabling mechanism in the presence of either local or global dissipation.  We address both networks of harmonic oscillators and spins and compare different synchronization measures.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. A. Pikovsky, M. Rosenblum, J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences, Cambridge edn. (Cambridge University Press, Cambridge, 2001)

    Google Scholar 

  2. S.H. Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, Westview edn. (Westview Press, Boulder, 2001)

    Google Scholar 

  3. A. Arenas, A. Diaz-Guilera, J. Kurths, Y. Moreno, C. Zhou, Phys. Rep. 469, 93 (2008)

    Google Scholar 

  4. S. Manrubia, A.S. Mikhailov, D.H. Zanette, Emergence of Dynamical Order. Synchronization Phenomena in Complex Systems (World Scientific, Singapore, 2004)

    Google Scholar 

  5. M. Rohden, A. Sorge, M. Timme, D. Witthaut, Phys. Rev. Lett. 109, 064101 (2012)

    Google Scholar 

  6. F. Galve, G.L. Giorgi, R. Zambrini, in Lectures on General Quantum Correlations and Their Applications, ed. by F. Fanchini, D. Soares Pinto, G. Adesso (Springer, Cham, 2017), pp. 393–420

    Google Scholar 

  7. A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C.R. Mirasso, L. Pesquera, K. Shore, Nature 438, 343 (2005)

    Google Scholar 

  8. P.P. Orth, D. Roosen, W. Hofstetter, K. Le Hur, Phys. Rev. B 82, 144423 (2010)

    Google Scholar 

  9. G.L. Giorgi, F. Galve, G. Manzano, P. Colet, R. Zambrini, Phys. Rev. A 85, 052101 (2012)

    Google Scholar 

  10. C. Benedetti, F. Galve, A. Mandarino, M.G.A. Paris, R. Zambrini, Phys. Rev. A 94, 052118 (2013)

    Google Scholar 

  11. G. Manzano, F. Galve, R. Zambrini, Phys. Rev. A 87, 032114 (2013)

    Google Scholar 

  12. G.L. Giorgi, F. Plastina, G. Francica, R. Zambrini, Phys. Rev. A 88, 042115 (2013)

    Google Scholar 

  13. G. Manzano, F. Galve, G.L. Giorgi, E. Hernandez-García, R. Zambrini, Sci. Rep. 3, 1439 (2013)

    Google Scholar 

  14. G.L. Giorgi, F. Galve, R. Zambrini, Phys. Rev. A 94, 052121 (2016)

    Google Scholar 

  15. B. Bellomo, G.L. Giorgi, G.M. Palma, R. Zambrini, Phys. Rev. A 95, 043807 (2017)

    Google Scholar 

  16. G. Garau Estarellas, G.L. Giorgi, M.C. Soriano, R. Zambrini, Adv. Quantum Technol. 1800085 (2019)

    Google Scholar 

  17. A. Cabot, F. Galve, V.M. Eguíluz, K. Klemm, S. Maniscalco, R. Zambrini, npj Quantum Inf. 4, 57 (2018)

    Google Scholar 

  18. S. Siwiak-Jaszek, A. Olaya-Castro, Faraday Discuss. Accepted manuscript (2019)

    Google Scholar 

  19. H. Eneriz, D.Z. Rossatto, M. Sanz, E. Solano, arXiv:1705.04614

  20. F.A. Cárdenas-López, M. Sanz, J.C. Retamal, E. Solano, Adv. Quantum Technol. 1800076 (2019)

    Google Scholar 

  21. B. Militello, D. Chruściński, A. Napoli, Phys. Scr. 93, 025201 (2018)

    Google Scholar 

  22. B. Militello, H. Nakazato, A. Napoli, Phys. Rev. A 96, 023862 (2017)

    Google Scholar 

  23. G. Karpat, İ. Yalçinkaya, B. Çakmak, arXiv:1903.05545. https://doi.org/10.1103/PhysRevA.100.012133

  24. A. Cabot, G.L. Giorgi, F. Galve, R. Zambrini, to be published in Phys. Rev. Lett. https://doi.org/10.1103/PhysRevLett.123.023604

  25. A. Cabot, F. Galve, R. Zambrini, New J. Phys. 19, 113007 (2017)

    Google Scholar 

  26. C. Zhou, J. Kurths, Phys. Rev. Lett. 88, 230602 (2002)

    Google Scholar 

  27. R. Toral, C.R. Mirasso, E. Hernández-García, O. Piro, Chaos 11, 665 (2001)

    Google Scholar 

  28. L. Gammaitoni, P. Hänggi, P. Jung, F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998)

    Google Scholar 

  29. M. Grifoni, P. Hänggi, Phys. Rev. Lett. 76, 1611 (1996)

    Google Scholar 

  30. H.P. Breuer, F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2003)

    Google Scholar 

  31. J.D. Cresser, J. Mod. Opt. 39, 2187 (1992)

    Google Scholar 

  32. M. Scala, B. Militello, A. Messina, J. Piilo, S. Maniscalco, Phys. Rev. A 75, 013811 (2007)

    Google Scholar 

  33. M. Scala, B. Militello, A. Messina, S. Maniscalco, J. Piilo, K.-A. Suominen, J. Phys. A Math. Theor. 40, 14527 (2007)

    Google Scholar 

  34. R. Migliore, M. Scala, A. Napoli, K. Yuasa, H. Nakazato, A. Messina, J. Phys. B At. Mol. Opt. Phys. 44, 075503 (2011)

    Google Scholar 

  35. M.J. Henrich, M. Michel, M. Hartmann, G. Mahler, J. Gemmer, Phys. Rev. E 72, 026104 (2005)

    Google Scholar 

  36. H. Wichterich, M.J. Henrich, H.-P. Breuer, J. Gemmer, M. Michel, Phys. Rev. E 76, 031115 (2007)

    Google Scholar 

  37. A.S. Trushechkin, I.V. Volovich, EPL 113, 30005 (2016)

    Google Scholar 

  38. J. Onam González, L.A. Correa, G. Nocerino, J.P. Palao, D. Alonso, G. Adesso, Open Syst. Inf. Dyn. 24, 1740010 (2017)

    Google Scholar 

  39. P.P. Hofer, M. Perarnau-Llobet, L.D.M. Miranda, G. Haack, R. Silva, J. Bohr Brask, N. Brunner, New J. Phys. 19, 123037 (2017)

    Google Scholar 

  40. M. Cattaneo, G.L. Giorgi, S. Maniscalco, R. Zambrini, arXiv:1906.08893

  41. H.J. Carmichael, Statistical Methods in Quantum Optics 1: Master Equations and Fokker-Planck Equations. Theoretical and Mathematical Physics (Springer, Berlin, 1998), pp. 19–28

    Google Scholar 

  42. V. Ameri, M. Eghbali-Arani, A. Mari, A. Farace, F. Kheirandish, V. Giovannetti, R. Fazio, Phys. Rev. A 91, 012301 (2015)

    Google Scholar 

  43. N. Lörch, S.E. Nigg, A. Nunnenkamp, R.P. Tiwari, C. Bruder, Phys. Rev. Lett. 118, 243602 (2017)

    Google Scholar 

  44. E. Lieb, T. Schultz, D. Mattis, Ann. Phys. 16, 407–466 (1961)

    Google Scholar 

  45. J.D. Cresser, C. Facer, arXiv:1710.09939

  46. D. Farina, V. Giovannetti, arXiv:1903.07324. https://doi.org/10.1103/PhysRevA.100.012107

  47. M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information, 2nd edn. (Cambridge University Press, Cambridge, 2010)

    Google Scholar 

  48. M. Gross, S. Haroche, Phys. Rep. 93, 301 (1982)

    Google Scholar 

Download references

Acknowledgements

The authors gratefully acknowledge the support from MINECO/AEI/FEDER through the project EPheQuCS FIS2016-78010-P, the María de Maeztu Program for Units of Excellence (MDM-2017-0711), and funding from CAIB Ph.D. and postdoctoral programs.

Author information

Authors and Affiliations

  1. IFISC (UIB-CSIC), Instituto de Fisica Interdisciplinar y Sistemas Complejos Universitat de les Illes Balears-Consejo Superior de Investigaciones Cientificas, UIB Campus, 07122, Palma, Spain

    Gian Luca Giorgi, Albert Cabot & Roberta Zambrini

Authors
  1. Gian Luca Giorgi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Albert Cabot
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Roberta Zambrini
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Roberta Zambrini .

Editor information

Editors and Affiliations

  1. Dipartimento di Fisica, Università degli Studi di Milano, Milan, Italy

    Bassano Vacchini

  2. Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Freiburg im Breisgau, Baden-Württemberg, Germany

    Heinz-Peter Breuer

  3. Department of Physics, University of Trieste, Trieste, Italy

    Angelo Bassi

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Giorgi, G.L., Cabot, A., Zambrini, R. (2019). Transient Synchronization in Open Quantum Systems. In: Vacchini, B., Breuer, HP., Bassi, A. (eds) Advances in Open Systems and Fundamental Tests of Quantum Mechanics. Springer Proceedings in Physics, vol 237. Springer, Cham. https://doi.org/10.1007/978-3-030-31146-9_6

Download citation

Publish with us

Policies and ethics

Search

Navigation