×

Transient synchronization in open quantum systems. (English) Zbl 1442.81043

Vacchini, Bassano (ed.) et al., Advances in open systems and fundamental tests of quantum mechanics. Proceedings of the 684th WE-Heraeus-Seminar, Bad Honnef, Germany, December 2–5, 2018. Cham: Springer. Springer Proc. Phys. 237, 73-89 (2019).
Summary: 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.
For the entire collection see [Zbl 1429.81009].

MSC:

81S22 Open systems, reduced dynamics, master equations, decoherence
34D06 Synchronization of solutions to ordinary differential equations

References:

[1] A. Pikovsky, M. Rosenblum, J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences, Cambridge edn. (Cambridge University Press, Cambridge, 2001) · Zbl 0993.37002
[2] S.H. Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, Westview edn. (Westview Press, Boulder, 2001)
[3] A. Arenas, A. Diaz-Guilera, J. Kurths, Y. Moreno, C. Zhou, Phys. Rep. 469, 93 (2008)
[4] S. Manrubia, A.S. Mikhailov, D.H. Zanette, Emergence of Dynamical Order. Synchronization Phenomena in Complex Systems (World Scientific, Singapore, 2004) · Zbl 1119.34001
[5] M. Rohden, A. Sorge, M. Timme, D. Witthaut, Phys. Rev. Lett. 109, 064101 (2012)
[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 · Zbl 1373.81001
[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)
[8] P.P. Orth, D. Roosen, W. Hofstetter, K. Le Hur, Phys. Rev. B 82, 144423 (2010)
[9] G.L. Giorgi, F. Galve, G. Manzano, P. Colet, R. Zambrini, Phys. Rev. A 85, 052101 (2012)
[10] C. Benedetti, F. Galve, A. Mandarino, M.G.A. Paris, R. Zambrini, Phys. Rev. A 94, 052118 (2013)
[11] G. Manzano, F. Galve, R. Zambrini, Phys. Rev. A 87, 032114 (2013)
[12] G.L. Giorgi, F. Plastina, G. Francica, R. Zambrini, Phys. Rev. A 88, 042115 (2013)
[13] G. Manzano, F. Galve, G.L. Giorgi, E. Hernandez-García, R. Zambrini, Sci. Rep. 3, 1439 (2013)
[14] G.L. Giorgi, F. Galve, R. Zambrini, Phys. Rev. A 94, 052121 (2016)
[15] B. Bellomo, G.L. Giorgi, G.M. Palma, R. Zambrini, Phys. Rev. A 95, 043807 (2017)
[16] G. Garau Estarellas, G.L. Giorgi, M.C. Soriano, R. Zambrini, Adv. Quantum Technol. 1800085 (2019)
[17] A. Cabot, F. Galve, V.M. Eguíluz, K. Klemm, S. Maniscalco, R. Zambrini, npj Quantum Inf. 4, 57 (2018)
[18] S. Siwiak-Jaszek, A. Olaya-Castro, Faraday Discuss. Accepted manuscript (2019)
[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)
[21] B. Militello, D. Chruściński, A. Napoli, Phys. Scr. 93, 025201 (2018)
[22] B. Militello, H. Nakazato, A. Napoli, Phys. Rev. A 96, 023862 (2017)
[23] G. Karpat, İ. Yalçinkaya, B. Çakmak, arXiv:1903.05545. https://doi.org/10.1103/PhysRevA.100.012133 · doi: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 · doi:10.1103/PhysRevLett.123.023604
[25] A. Cabot, F. Galve, R. Zambrini, New J. Phys. 19, 113007 (2017)
[26] C. Zhou, J. Kurths, Phys. Rev. Lett. 88, 230602 (2002)
[27] R. Toral, C.R. Mirasso, E. Hernández-García, O. Piro, Chaos 11, 665 (2001) · Zbl 0983.65135
[28] L. Gammaitoni, P. Hänggi, P. Jung, F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998)
[29] M. Grifoni, P. Hänggi, Phys. Rev. Lett. 76, 1611 (1996)
[30] H.P. Breuer, F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2003) · Zbl 1041.81518
[31] J.D. Cresser, J. Mod. Opt. 39, 2187 (1992)
[32] M. Scala, B. Militello, A. Messina, J. Piilo, S. Maniscalco, Phys. Rev. A 75, 013811 (2007)
[33] M. Scala, B. Militello, A. Messina, S. Maniscalco, J. Piilo, K.-A. Suominen, J. Phys. A Math. Theor. 40, 14527 (2007) · Zbl 1126.81057
[34] R. Migliore, M. Scala, A. Napoli, K. Yuasa, H. Nakazato, A. Messina, J. Phys. B At. Mol. Opt. Phys. 44, 075503 (2011)
[35] M.J. Henrich, M. Michel, M. Hartmann, G. Mahler, J. Gemmer, Phys. Rev. E 72, 026104 (2005)
[36] H. Wichterich, M.J. Henrich, H.-P. Breuer, J. Gemmer, M. Michel, Phys. Rev. E 76, 031115 (2007)
[37] A.S. Trushechkin, I.V. Volovich, EPL 113, 30005 (2016)
[38] J. Onam González, L.A. Correa, G. Nocerino, J.P. Palao, D. Alonso, G. Adesso, Open Syst. Inf. Dyn. 24, 1740010 (2017) · Zbl 1381.81060
[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) · Zbl 1535.81162
[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
[42] V. Ameri, M. Eghbali-Arani, A. Mari, A. Farace, F. Kheirandish, V. Giovannetti, R. Fazio, Phys. Rev. A 91, 012301 (2015)
[43] N. Lörch, S.E. Nigg, A. Nunnenkamp, R.P. Tiwari, C. Bruder, Phys. Rev. Lett. 118, 243602 (2017)
[44] E. Lieb, T. Schultz, D. Mattis, Ann. Phys. 16, 407-466 (1961) · Zbl 0129.46401
[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 · doi:10.1103/PhysRevA.100.012107
[47] M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information, 2nd edn. (Cambridge University Press, Cambridge, 2010) · Zbl 1288.81001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.