Abstract
The two-photon Rabi model describes the interaction between a two-level system and a single bosonic mode via two-photon process. By means of mean-field approximation, we investigate the quantum phase transition, which corresponds to a jump from the single well to double well structure for the energy function in the ultra-strong coupling regime. Taking the classical limit for the atom (two-level system) partner, we also study the squeezing of the cavity field in both of the normal and super-radiance phases.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Jaynes, E.T., Cummings, F.W.: Proc. IEEE 51, 89 (1963)
Niemczyk, T., Deppe, F., Huebl, H., Menzel, E.P., Hocke, F., Schwarz, M.J., Ripoll, J.J.G., Zueco, D., Hummer, T., Solano, E., Marx, A., Gross, R.: Nat. Phys. 6, 772 (2010)
Todorov, Y., Andrews, A.M., Colombelli, R., De Liberato, S., Ciuti, C., Klang, P., Strasser, G., Sirtori, C.: Phys. Rev. Lett. 105, 196402 (2010)
Geiser, M., Castellano, F., Scalari, G., Beck, M., Nevou, L., Faist, J.: Phys. Rev. Lett. 108, 106402 (2012)
Cacciola, A., Stefano, O.D., Stassi, R., Saija, R., Savasta, S.: ACS Nano. 8, 11483 (2014)
Baust, A., et al.: Phys. Rev. B 93, 214501 (2016)
Dlaz, P.F., Garcla-Ripoll, J.J., Peropadre, B., Orgiazzi, J.-L., Yurtalan, M.A., Belyansky, R., Wilson, C.M., Lupascu, A.: Nat. Phys. 13, 39 (2017)
Yoshihara, F., Fuse, T., Ashhab, S., Kakuyanagi, K., Saito, S., Semba, K.: Nat. Phys. 13, 44 (2017)
Gu, X., Kockum, A.F., Gu, A., Liu, Y.-X., Nori, F.: Miranowicz Physics Reports 718, 1 (2017)
Hwang, M.J., Puebla, R., Plenio, M.B.: Phys. Rev. Lett. 115, 180404 (2015)
Hwang, M.J., Plenio, M.B.: Phys. Rev. Lett. 117, 123602 (2016)
Liu, M., Chesi, S., Ying, Z.J., Chen, X.S., Luo, H.G., Lin, H.Q.: Phys. Rev. Lett. 119, 220601 (2017)
Travěnec, I.: Phys. Rev. A 85, 043805 (2012)
Felicetti, S., Pedernales, J.S., Egusquiza, I.L., Romero, G., Lamata, L., Braak, D., Solano, E.: Phys. Rev. A 92, 033817 (2015)
Garbe, L., Egusquiza, I.L., Solano, E., Ciuti, C., Coudreau, T., Milman, P., Felicetti, S.: Phys. Rev. A 95, 053854 (2017)
Bertet, P., Osnaghi, S., Milman, P., Auffeves, A., Maioli, P., Brune, M., Raimond, J.M., Haroche, S.: Phys. Rev. Lett. 88, 143601 (2002)
Zhang, X.F., Sun, Q., Wen, Y.C., Liu, W.M., Eggert, S., Ji, A.C.: Phys. Rev. Lett. 110, 090402 (2013)
Stufler, S., Machnikowski, P., Ester, P., Bichler, M., Axt, V.M., Kuhn, T., Zrenner, A.: Phys. Rev. B 73, 125304 (2006)
del Valle, E., Zippilli, S., Laussy, F.P., Gonzalez-Tudela, A., Morigi, G., Tejedor, C.: Phys. Rev. B 81, 035302 (2010)
Chen, Q.H., Wang, C., He, S., Liu, T., Wang, K.L.: Phys. Rev. A 86, 023822 (2012)
Duan, L.W., Xie, Y.F., Braak, D., Chen, Q.H.: J. Phys. A 49, 464002 (2016)
Peng, J., Ren, Z.Z., Guo, G.J., Ju, G.X., Guo, X.Y.: Eur. Phys. J. D 67, 162 (2013)
Lv, Z.G., Zhao, C.J., Zheng, H.: J. Phys. A 50, 074002 (2017)
Chen, X.Y., Zhang, Y.Y.: Phys. Rev. A 97, 053821 (2018)
Emary, C., Brandes, T.: Phys. Rev. E 67, 066203 (2003)
Chen, Q.H., Zhang, Y.Y., Liu, T., Wang, K.L.: Phys. Rev. A 78, 051801 (2008)
Bakemeier, L., Alvermann, A., Fehske, H.: Phys. Rev. A 85, 043821 (2012)
Gazeau, J.P.: Coherent States in Quantum Physics. Wiley, Hoboken (2009)
Walls, D.F.: Nature(London) 306, 141 (1983)
Barnett, S., Radmore, P.M.: Methods in Theoretical Quantum Optics. Oxford University Press, Oxford (2002)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Hu, XL. The Phase Transition in Two-Photon Rabi Model Under Mean Field Approximation. Int J Theor Phys 58, 3765–3772 (2019). https://doi.org/10.1007/s10773-019-04246-w
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-019-04246-w