Abstract
Based on Lewis–Riesenfeld invariants and quantum Zeno dynamics, we propose an effective scheme for generating atomic NOON states via shortcuts to adiabatic passage. The photon losses are efficiently suppressed by engineering shortcuts to adiabatic passage in the scheme. The numerical simulation shows that the atomic NOON states can be generated with high fidelity.
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Bennett, C.H., Wiesner, S.J.: Communication via one- and two-particle operators on Einstein–Podolsky–Rosen states. Phys. Rev. Lett. 69, 2881–2884 (1992)
Mattle, K., Weinfurter, H., Kwiat, P.G., Zeilinger, A.: Dense coding in experimental quantum communication. Phys. Rev. Lett. 76, 4656–4659 (1996)
Zheng, S.B., Guo, G.C.: Efficient scheme for two-atom entanglement and quantum information processing in cavity QED. Phys. Rev. Lett. 85, 2392 (2000)
Vidal, G.: Efficient classical simulation of slightly entangled quantum computations. Phys. Rev. Lett. 91, 147902 (2003)
Bell, J.S.: On the Einstein–Podolsky–Rosen paradox. Physics 1, 195–200 (1964)
Ghosh, S., Kar, G., Roy, A., Sen, A., Sen, U.: Distinguishability of Bell states. Phys. Rev. Lett. 87, 277902 (2001)
Greenberger, D.M., Horne, M.A., Shimony, A., Zeilinger, A.: Bells theorem without inequalities. Am. J. Phys. 58, 1131–1143 (1990)
Dür, W., Vidal, G., Cirac, J.I.: Three qubits can be entangled in two inequivalent ways. Phys. Rev. A 62, 062314 (2000)
Raussendorf, R., Briegel, H.J.: A one-way quantum computer. Phys. Rev. Lett. 86, 5188 (2001)
Boto, A.N., Kok, P., Abrams, D.S., Braunstein, S.L., Williams, C.P., Dowling, J.P.: Quantum interferometric optical lithography: exploiting entanglement to beat the diffraction limit. Phys. Rev. Lett. 85, 2733 (2000)
Mitchell, M.W., Lundeen, J.S., Steinberg, A.M.: Super-resolving phase measurements with a multiphoton entangled state. Nature 429, 161–164 (2004)
Dowling, J.P.: Quantum optical metrology-the lowdown on high-NOON states. Contemp. Phys. 49, 125–143 (2008)
Nikoghosyan, G., Hartmann, M.J., Plenio, M.B.: Generation of mesoscopic entangled states in a cavity coupled to an atomic ensemble. Phys. Rev. Lett. 108, 123603 (2012)
D’Angelo, M., Chekhova, M.V., Shih, Y.: Two-photon diffraction and quantum lithography. Phys. Rev. Lett. 87, 013602 (2001)
Edamatsu, K., Shimizu, R., Itoh, T.: Measurement of the photonic de Broglie wavelength of entangled photon pairs generated by spontaneous parametric down-conversion. Phys. Rev. Lett. 89, 213601 (2002)
Glasser, R.T., Cable, H., Dowling, J.P.: Entanglement-seeded, dual, optical parametric amplification: applications to quantum imaging and metrology. Phys. Rev. A 78, 012339 (2008)
Kok, P., Lee, H., Dowling, J.P.: Creation of large-photon-number path entanglement conditioned on photodetection. Phys. Rev. A 65, 052104 (2002)
Harris, S.E., Yamamoto, Y.: Photon switching by quantum interference. Phys. Rev. Lett. 81, 3611 (1998)
Parkins, A.S., Marte, P., Zoller, P., Carnal, O., Kimble, H.J.: Quantum-state mapping between multilevel atoms and cavity light fields. Phys. Rev. A 51, 1578 (1995)
Raimond, J.M., Brune, M., Haroche, S.: Manipulating quantum entanglement with atoms and photons in a cavity. Rev. Mod. Phys. 73, 565 (2001)
Zhong, Z.R.: A simplified scheme for realizing multi-atom NOON state. Opt. Commun. 283, 189–191 (2010)
Bertet, P., Osnaghi, S., Milman, P., Auffeves, A., Maioli, P., Brune, M., Haroche, S.: Generating and probing a two-photon Fock state with a single atom in a cavity. Phys. Rev. Lett. 88, 143601 (2002)
Auffeves, A., Maioli, P., Meunier, T., Gleyzes, S., Nogues, G., Brune, M., Haroche, S.: Entanglement of a mesoscopic field with an atom induced by photon graininess in a cavity. Phys. Rev. Lett. 91, 230405 (2003)
Meunier, T., Gleyzes, S., Maioli, P., Auffeves, A., Nogues, G., Brune, M., Haroche, S.: Rabi oscillations revival induced by time reversal: a test of mesoscopic quantum coherence. Phys. Rev. Lett. 94, 010401 (2005)
Osnaghi, S., Bertet, P., Auffeves, A., Maioli, P., Brune, M., Raimond, J.M., Haroche, S.: Coherent control of an atomic collision in a cavity. Phys. Rev. Lett. 87, 037902 (2001)
Haroche, S.: Entanglement experiments in cavity QED. Fortsch. Phys. 51, 388–395 (2003)
Vitanov, N.V., Suominen, K.A., Shore, B.W.: Creation of coherent atomic superpositions by fractional stimulated Raman adiabatic passage. J. Phys. B At. Mol. Opt. Phys. 32, 4535–4546 (1999)
Gong, S.Q., Unanyan, R., Bergmann, K.: Preparation of Fock states and quantum entanglement via stimulated Raman adiabatic passage using a four-level atom. Eur. Phys. J. D 19, 257–262 (2002)
Chen, L.B., Ye, M.Y., Lin, G.W., Du, Q.H., Lin, X.M.: Generation of entanglement via adiabatic passage. Phys. Rev. A 76, 062304 (2007)
Liu, Q.G., Wu, Q.C., Leng, C.L., Liang, Y., Ji, X., Zhang, S.: Generation of atomic NOON states via adiabatic passage. Quantum Inf. Process. 13, 2801–2814 (2014)
Song, P.J., Lü, X.Y., Si, L.G., Yang, X.X.: Deterministic generation of Greenberger–Horne–Zeilinger and W states for three distant atoms via adiabatic passage. Chin. Phys. B 20, 050308 (2011)
Goto, H., Ichimura, K.: Population transfer via stimulated Raman adiabatic passage in a solid. Phys. Rev. A 74, 053410 (2006)
Yan, D., Cui, C.L., Zhang, M., Wu, J.H.: Coherent population transfer and quantum entanglement generation involving a Rydberg state by stimulated Raman adiabatic passage. Phys. Rev. A 84, 043405 (2011)
Hou, Q.Z., Yang, W.L., Feng, M., Chen, C.Y.: Quantum state transfer using stimulated Raman adiabatic passage under a dissipative environment. Phys. Rev. A 88, 013807 (2013)
Chen, X., Lizuain, I., Ruschhaupt, A., Guéry-Odelin, D., Muga, J.G.: Shortcut to adiabatic passage in two-and three-level atoms. Phys. Rev. Lett. 105, 123003 (2010)
Torrontegui, E., Ibáñez, S., Martínez-Garaot, S., Modugno, M., del Campo, A., Guéry-Odelin, D., Muga, J.G.: Shortcuts to adiabaticity. Adv. At. Mol. Opt. Phys. 62, 117–169 (2013)
Ibáñez, S., Chen, X., Torrontegui, E., Muga, J.G., Ruschhaupt, A.: Multiple Schrodinger pictures and dynamics in shortcuts to adiabaticity. Phys. Rev. Lett. 109, 100403–100403 (2012)
Lu, M., Xia, Y., Shen, L.T., Song, J., An, N.B.: Shortcuts to adiabatic passage for population transfer and maximum entanglement creation between two atoms in a cavity. Phys. Rev. A 89, 012326 (2014)
Chen, Y.H., Xia, Y., Chen, Q.Q., Song, J.: Efficient shortcuts to adiabatic passage for fast population transfer in multiparticle systems. Phys. Rev. A 89, 033856 (2014)
Guéry-Odelin, D., Muga, J.G., Ruiz-Montero, M.J., Trizac, E.: Nonequilibrium solutions of the Boltzmann equation under the action of an external force. Phys. Rev. Lett. 112, 180602 (2014)
Liang, Y., Ji, X., Wang, H.F., Zhang, S.: Deterministic SWAP gate using shortcuts to adiabatic passage. Laser Phys. Lett. 12, 115201 (2015)
Liang, Y., Wu, Q.C., Su, S.L., Ji, X., Zhang, S.: Shortcuts to adiabatic passage for multiqubit controlled-phase gate. Phys. Rev. A 91, 032304 (2015)
Liang, Y., Song, C., Ji, X., Zhang, S.: Fast CNOT gate between two spatially separated atoms via shortcuts to adiabatic passage. Opt. Express 23, 23798–23810 (2015)
Schloss, J., Benseny, A., Gillet, J., Swain, J., Busch, T.: Non-adiabatic generation of NOON states in a Tonks–Girardeau gas. 1601, 00369 (2016)
Lewis Jr., H.R., Riesenfeld, W.B.: An exact quantum theory of the time-dependent harmonic oscillator and of a charged particle in a time-dependent electromagnetic field. J. Math. Phys. 10, 1458 (1969)
Lohe, M.A.: Exact time dependence of solutions to the time-dependent Schrödinger equation. J. Phys. A Math. Theor. 42, 035307 (2009)
Facchi, P., Gorini, V., Marmo, G., Pascazio, S., Sudarshan, E.C.G.: Quantum Zeno dynamics. Phys. Lett. A 275, 12–19 (2000)
Facchi, P., Marmo, G., Pascazio, S.: Quantum Zeno dynamics and quantum Zeno subspaces. J. Phys Conf. Ser. 196, 012017 (2009)
Kwiat, P., Weinfurter, H., Herzog, T., Zeilinger, A., Kasevich, M.A.: Interaction-free measurement. Phys. Rev. Lett. 74, 4763 (1995)
Facchi, P., Pascazio, S.: Quantum zeno subspaces. Phys. Rev. Lett. 89, 080401 (2002)
Sauer, J.A., Fortier, K.M., Chang, M.S., Hamley, C.D., Chapman, M.S.: Cavity QED with optically transported atoms. Phys. Rev. A 69, 051804 (2004)
Xue, P., Xiao, Y.F.: Universal quantum computation in decoherence-free subspace with neutral atoms. Phys. Rev. Lett. 97, 140501 (2006)
Kuklinski, J.R., Gaubatz, U., Hioe, F.T., Bergmann, K.: Adiabatic population transfer in a three-level system driven by delayed laser pulse. Phys. Rev. A 40, 6741–6744 (1989)
Bergmann, K., Theuer, H., Shore, B.W.: Coherent population transfer among quantum states of atoms and molecules. Rev. Mod. Phys. 70, 1003–1025 (1998)
Liu, K., Chen, L.B., Shi, P., Zhang, W.Z., Gu, Y.J.: Generation of NOON states via Raman transitions in a bimodal cavity. Quantum Inf. Process. 12, 3057–3066 (2013)
Zheng, S.B., Guo, G.C.: Tunable phase gate for two atoms with an immunity to decoherence. Phys. Rev. A 73, 052328 (2006)
Chwalla, M., Benhelm, J., Kim, K., Kirchmair, G., Monz, T., Riebe, M., Laurent, P.: Absolute frequency measurement of the \(^{40}C_{a}^{+}4_{S}^{2}S_{1/2}-3d^{2}D_{3/2}\) clock transition. Phys. Rev. Lett. 102, 023002 (2009)
Biswas, A., Agarwal, G.S.: Quantum logic gates using Stark-shifted Raman transitions in a cavity. Phys. Rev. A 69, 062306 (2004)
Pellizzari, T.: Quantum networking with optical fibres. Phys. Rev. Lett. 79, 5242–5245 (1997)
Serafini, A., Mancini, S., Bose, S.: Distributed quantum computation via optical fibers. Phys. Rev. Lett. 96, 010503 (2006)
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This work was supported by the National Natural Science Foundation of China under Grant Nos. 11464046 and 61465013.
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Song, C., Su, SL., Bai, CH. et al. Generation of atomic NOON states via shortcuts to adiabatic passage. Quantum Inf Process 15, 4159–4173 (2016). https://doi.org/10.1007/s11128-016-1372-2
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DOI: https://doi.org/10.1007/s11128-016-1372-2