Abstract
We investigate electromagnetically induced transparency (EIT) and Autler–Townes splitting (ATS) in a superconducting quantum circuit with a four-level V-type energy spectrum constructed by two coupled superconducting charge qubits. We show that it is possible for this four-level superconducting system to exhibit multiple dips in the absorption spectrum of a probe field, with at most three dips resulting from a combination of two ATS subsystems, which indicates the breakdown of the traditional correspondence between a \((N+1)\)-level system and \(N-1\) dips. It is also shown that the switching from EIT to ATS can be realized in a three-level ladder-type subsystem.
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References
Boller, K.J., Imamoglu, A., Harris, S.E.: Observation of electromagnetically induced transparency. Phys. Rev. lett. 66, 2593–2596 (1991)
Harris, S.E.: Electromagnetically induced transparency. Phys. Today 50, 36–42 (1997)
Fleischhauer, M., Imamoglu, A., Marangos, J.P.: Electromagnetically induced transparency: optics in coherent media. Rev. Mod. Phys. 77, 633–673 (2005)
Chanu, S.R., Pandey, K., Natarajan, V.: Conversion between electromagnetically induced transparency and absorption in a three-level lambda system. Europhys. Lett. 98, 44009 (2012)
Lazoudis, A., Kirova, T., Ahmed, E.H., Qi, P., Huennekens, J., Lyyra, A.M.: Electromagnetically induced transparency in an open V-type molecular system. Phys. Rev. A 83, 063419 (2011)
Li, L., Zhu, C., Deng, L., Huang, G.: Electromagnetically induced transparency and nonlinear pulse propagation in an atomic medium confined in a waveguide. J. Opt. Soc. Am. B 30, 197–204 (2013)
Wang, H., Gu, X., Liu, Y., Miranowicz, A., Nori, F.: Optomechanical analog of two-color electromagnetically induced transparency: photon transmission through an optomechanical device with a two-level system. Phys. Rev. A 90, 023817 (2014)
Wielandy, S., Gaeta, A.L.: Investigation of electromagnetically induced transparency in the strong probe regime. Phys. Rev. A 58, 2500–2505 (1998)
Fano, U.: Effects of configuration interaction on intensities and phase shifts. Phys. Rev. 124, 1866–1878 (1961)
Autler, S.H., Townes, C.H.: Stark effect in rapidly varying fields. Phys. Rev. 100, 703–722 (1955)
Anisimov, P., Kocharovskaya, O.: Decaying-dressed-state analysis of a coherently driven three-level system. J. Mod. Opt. 55, 3159–3171 (2008)
Abi-Salloum, T.Y.: Electromagnetically induced transparency and Autler–Townes splitting: two similar but distinct phenomena in two categories of three-level atomic systems. Phys. Rev. A 81, 053836 (2010)
Anisimov, P., Dowling, J.P., Sanders, B.C.: Objectively discerning Autler–Townes splitting from electromagnetically induced transparency. Phys. Rev. lett. 107, 163604 (2011)
Giner, L., Veissier, L., Sparkes, B., Sheremet, A.S., Nicolas, A., Mishina, O.S., Scherman, M., Burks, S., Shomroni, I., Kupriyanov, D.V., Lam, P.K., Giacobino, E., Laurat, J.: Experimental investigation of the transition between Autler–Townes splitting and electromagnetically-induced-transparency models. Phys. Rev. A 87, 013823 (2013)
Sun, H., Liu, Y., Ian, H., You, J.Q., Ilichev, E., Nori, F.: Electromagnetically induced transparency and Autler–Townes splitting in superconducting flux quantum circuits. Phys. Rev. A 89, 063822 (2014)
Peng, B., özdemir, S.K., Chen, W., Nori, F., and Yang, L.: What is- and what is not- Electromagnetically-Induced-Transparency in Whispering-Gallery-Microcavities. arXiv:1404.5941
You, J.Q., Tsai, J.S., Nori, F.: Controllable manipulation and entanglement of macroscopic quantum states in coupled charge qubits. Phys. Rev. B 68, 024510 (2003)
Wallraff, A., Schuster, D.I., Blais, A., Frunzio, L., Huang, R.S., Majer, J., Kumar, S., Girvin, S.M., Schoelkopf, R.J.: Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics. Nature (London) 431, 162–166 (2004)
Blais, A., Huang, R.S., Wallraff, A., Girvin, S.M., Schoelkopf, R.J.: Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation. Phys. Rev. A 69, 062320 (2004)
Niemczyk, T., Deppe, F., Huebl, H., Menzel, E.P., Hocke, F., Schwarz, M.J., Garcia-Ripoll, J.J., Zueco, D., Hümmer, T., Solano, E., Marx, A., Gross, R.: Circuit quantum electrodynamics in the ultrastrong-coupling regime. Nat. Phys. 6, 772–776 (2010)
You, J.Q., Nori, F.: Atomic physics and quantum optics using superconducting circuits. Nature(London) 474, 589–597 (2011)
Xiang, Z., Ashhab, S., You, J.Q., Nori, F.: Hybrid quantum circuits: superconducting circuits interacting with other quantum systems. Rev. Mod. Phys. 85, 623–653 (2013)
You, J.Q., Nori, F.: Superconducting circuits and quantum information. Phys. Today 58, 42–47 (2005)
Clarke, J., Wilhelm, F.K.: Superconducting quantum bits. Nature(London) 453, 1031–1042 (2008)
Pashkin, Y.A., Astafiev, O., Yamamoto, T., Nakamura, Y., Tsai, J.S.: Josephson charge qubits: a brief review. Quantum Inf. Proc. 8, 55–80 (2009)
Buluta, I., Ashhab, S., Nori, F.: Natural and artificial atoms for quantum computation. Rep. Prog. Phys. 74, 104401 (2011)
Astafiev, O., Inomata, K., Niskanen, A.O., Yamamoto, T., Pashkin, Y.A., Nakamura, Y., Tsai, J.S.: Single artificial-atom lasing. Nature(London) 449, 588–590 (2007)
Hauss, J., Fedorov, A., Hutter, C., Shnirman, A., Schön, G.: Single-qubit lasing and cooling at the Rabi frequency. Phys. Rev. lett. 100, 037003 (2008)
Ashhab, S., Johansson, J.R., Zagoskin, A.M., Nori, F.: Single-artificial-atom lasing using a voltage-biased superconducting charge qubit. New J. Phys. 11, 023030 (2009)
Kelly, W.R., Dutton, Z., Schlafer, J., Mookerji, B., Ohki, T.A.: Direct observation of coherent population trapping in a superconducting artificial atom. Phys. Rev. Lett. 104, 163601 (2010)
Sillanpää, M.A., Li, J., Cicak, K., Altomare, F., Park, J.I., Simmonds, R.W., Paraoanu, G.S., Hakonen, P.J.: Autler–Townes effect in a superconducting three-level system. Phys. Rev. Lett. 103, 193601 (2009)
Buluta, I., Nori, F.: Quantum simulators. Science 326, 108–111 (2009)
Georgescu, I.M., Ashhab, S., Nori, F.: Quantum simulation. Rev. Mod. Phys. 86, 153–185 (2014)
Nation, P.D., Johansson, J.R., Blencowe, M.P., Nori, F.: Colloquium: stimulating uncertainty: amplifying the quantum vacuum with superconducting circuits. Rev. Mod. Phys. 84, 1–24 (2012)
Dutton, Z., Murali, K.V.R.M., Oliver, W.D., Orlando, T.P.: Electromagnetically induced transparency in superconducting quantum circuits: effects of decoherence, tunneling, and multilevel crosstalk. Phys. Rev. B 73, 104516 (2006)
Murali, K.V.R.M., Dutton, Z., Oliver, W.D., Crankshaw, D.S., Orlando, T.P.: Probing decoherence with electromagnetically induced transparency in superconductive quantum circuits. Phys. Rev. lett. 93, 087003 (2004)
Yuan, X.Z., Goan, H.S., Lin, C.H., Zhu, K.D., Jiang, Y.W.: Nanomechanical-resonator-assisted induced transparency in a Cooper-pair box system. New J. Phys. 10, 095016 (2008)
Ian, H., Liu, Y.X., Nori, F.: Tunable electromagnetically induced transparency and absorption with dressed superconducting qubits. Phys. Rev. A 81, 063823 (2010)
Joo, J., Bourassa, J., Blais, A., Sanders, B.C.: Electromagnetically induced transparency with amplification in superconducting circuits. Phys. Rev. lett. 105, 073601 (2010)
Li, J., Paraoanu, G.S., Cicak, K., Altomare, F., Park, J.I., Simmonds, R.W., Sillanpää, M.A., Hakonen, P.J.: Decoherence, Autler–Townes effect, and dark states in two-tone driving of a three-level superconducting system. Phys. Rev. B 84, 104527 (2011)
Novikov, S., Robinson, J.E., Keane, Z.K., Suri, B., Wellstood, F.C., Palmer, B.S.: Autler–Townes splitting in a three-dimensional transmon superconducting qubit. Phys. Rev. B 88, 060503(R) (2013)
Rebić, S., Twamley, J., Milburn, G.J.: Giant Kerr nonlinearities in circuit quantum electrodynamics. Phys. Rev. Lett. 103, 150503 (2009)
Hou, B.P., Wang, S.J., Yu, W.L., Sun, W.L.: Control of one- and two-photon absorption in a four-level atomic system by changing the amplitude and phase of a driving microwave field. J. Phys. B: At. Mol. Opt. Phys. 38, 1419–1434 (2005)
Shen, J.Q., Zhang, P.: Double-control quantum interferences in a four-level atomic system. Opt. Express 15, 6484–6494 (2007)
Osman, K.I., Swain, S.: Time-dependent aspects of the Autler–Townes effect in a four-level system. Phys. Rev. A 25, 3187–3194 (1982)
Wessel, J.E., Cooper, D.E.: Stark spectroscopy and Autler–Townes interactions in four-level cesium atoms. Phys. Rev. A 35, 1621–1627 (1987)
Paspalakis, E., Knight, P.L.: Electromagnetically induced transparency and controlled group velocity in a multilevel system. Phys. Rev. A 66, 015802 (2002)
Shen, J.Q.: Transient evolutional behaviours of double-control electromagnetically induced transparency. New J. Phys. 9, 374 (2007)
Lazoudis, A., Kirova, T., Ahmed, E.H., Li, L., Qi, J., Lyyra, A.M.: Electromagnetically induced transparency in an open \(\Lambda \)-type molecular lithium system. Phys. Rev. A 82, 023812 (2010)
Welch, G.R., Padmabandu, G.G., Fry, E.S., Lukin, M.D., Nikonov, D.E., Sander, F., Scully, M.O., Weis, A., Tittel, F.K.: Observation of V-type electromagnetically induced transparency in a sodium atomic beam. Found. Phys. 28, 621–638 (1998)
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This work was supported in part by the National Natural Science Foundation of China under the Grant No. 11274132 and the Hubei Provincial Natural Science Foundation of China.
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Li, H., Ge, G., Liao, L. et al. Electromagnetically Induced Transparency and Autler–Townes Splitting in a Superconducting Quantum Circuit with a Four-Level V-Type Energy Spectrum. Found Phys 45, 198–210 (2015). https://doi.org/10.1007/s10701-014-9861-6
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DOI: https://doi.org/10.1007/s10701-014-9861-6