Abstract
Recently increasing interests are attracted in the physics of controlled arrays of nonlinear cavity resonators because of the rapid experimental progress achieved in cavity and circuit quantum electrodynamics (QED). For a driven-dissipative two-dimentional planar C-QED array, standard Markov master equation is generally used to study the dynamics of this system. However, when in the case that the on-site photon-photon interaction enters strong correlation regime, standard Markov master equation may lead to incorrect results. In this paper we study the non-equilibrium dynamics of a two-dimentional C-QED array, which is homogeneously pumped by an external pulse, at the same time dissipation exits. We study the evolution of the average photon number of a single cavity by deriving a modified master equation to. In comparison with the standard master equation, the numerical result obtained by our newly derived master equation shows significant difference for the non-equilibrium dynamics of the system.
Similar content being viewed by others
References
Carusotto, I., Ciuti, C.: Rev. Mod. Phys. 85, 299 (2013)
Umucalilar, R.O., Carusotto, I.: Phys. Rev. Lett. 108, 206809 (2012). M. Hafezi, M. D. Lukin and J. M. Taylor, New J. Phys. 15 063001 (2013)
Olmos, B., Yu, D., Lesanovsky, I.: Phys. Rev. A 89, 023616 (2014)
Vorberg, D., Wustmann, W., Ketzmerick, R., Eckardt, A.: Phys. Rev. Lett. 111, 240405 (2013)
Hu, Y., Tian, L.: Phys. Rev. Lett. 106, 257002 (2011)
Hartmann, M.J., Brandao, F.G.S.L., Plenio, M.B.: Nat. Phys. 2, 849 (2006)
Greentree, A.D., Tahan, C., Cole, J.H., Hollenberg, L.C.L.: Nat. Phys. 2, 856 (2006)
Angelakis, D.G., Santos, M.F., Bose, S.: Phys. Rev. A 76, 031805 (2007)
Wu, C.-W., Gao, M., Deng, Z.-J., Dai, H.-Y., Chen, P.-X., Li, C.-Z.: Phys. Rev. A 84, 043827 (2011)
Tomadin, A., Giovannetti, V., Fazio, R., Gerace, D., Carusotto, I., Tureci, H.E., Imamoglu, A.: Phys. Rev. A 81(R), 061801 (2010)
LeBoite, A.G., Orso, G., Ciuti, C.: Phys. Rev. Lett. 110, 233601 (2013)
Carusotto, I., Gerace, D., Tureci, H.E., De Liberato, S., Ciuti, C., Imamoglu, A.: Phys. Rev. Lett. 103, 033601 (2009)
Hartmann, M.: Phys. Rev. Lett. 104, 113601 (2010)
Leib, M., Hartmann, M.: New J. Phys. 12, 093031 (2010)
Diehl, S., Tomadin, A., Micheli, A., Fazio, R., Zoller, P.: Phys. Rev. Lett. 105, 015702 (2010)
Tomadin, A., et al.: Phys. Rev. A 81(R), 061801 (2010)
Nissen, F., et al.: Phys. Rev. Lett. 108, 233603 (2012)
Jin, J., Rossini, D., Fazio, R., Leib, M., Hartmann, M.J.: Phys. Rev. Lett. 110, 163605 (2013)
Beaudoin, F., Gambetta, J.M., Blais, A.: Phys Rev. A 84, 043832 (2011)
Altintas, F., Eryigit, R.: Phys, Rev. A 87, 022124 (2013)
Scala, M., Militello, B., Messina, A., Piilo, J., Maniscalco, S.: Phys. Rev. A 75, 013811 (2007)
Breuer, H.-P., Petruccione, F.: The theory of open quantum systems. Oxford University Press, Oxford (2002)
Rivas, A., Plato, A.D.K., Huelga, S.F., Plenio, M.B.: New J. Phys. 12, 113032 (2010)
Dalidovich, D., Kennett, M.P.: Phys. Rev. A 79, 053611 (2009)
Grabert, H., Weiss, U.: Phys. Rev. Lett. 54, 1605 (1985)
Spohn, H., Lebowitz, J.L.: Adv. Chem. Phys. 38, 109 (1979)
Fink, J.M., et al.: Nat. (London) 454, 315 (2008)
Todorov, Y., et al.: Phys. Rev. Lett. 105, 196402 (2010)
Scalari, G., et al.: Science 335, 1323 (2012)
Benz, A., et al.: Nat. Commun. 4, 2882 (2013)
Acknowledgments
This work was supported by China Scholarship and the Natural Science Foundation of China under Grant No.91121023, and the PCSIRT (Grant No. IRT1243).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhang, XD., Li, ZH. & Zhang, XM. Non-Equilibrium Dynamics of C-QED Arrays in Strong Correlation Regime. Int J Theor Phys 55, 4766–4772 (2016). https://doi.org/10.1007/s10773-016-3100-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-016-3100-1