Abstract
We propose a relatively robust scheme to generate controllable (deterministic) atomic entangled GHZ states in atom-cavity-fiber system by adiabatic passage. In the present scheme, the atoms are individually trapped in N spatially separated optical cavities coupled by optical fibers. Losses due to the cavity decay are efficiently suppressed by employing the adiabatic passage technique and appropriately designed atom-field couplings. We consider N five-level atoms simultaneously interacting with N resonant one-mode cavity to reach the N-atom GHZ state of the present system. The influence of various decoherence processes such as spontaneous emission and photon loss on the fidelity is also investigated. It is found that our schemes can be realized with high fidelity even when these decoherence processes are considered.
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Amniat-Talab, M., Guérin, S., Sangouard, N., Jauslin, H.R.: Atom–photon, atom–atom, and photon–photon entanglement preparation by fractional adiabatic passage. Phys. Rev. A 71, 023805–023812 (2005a)
Amniat-Talab, M., Guérin, S., Jauslin, H.R.: Decoherence-free creation of atom-atom entanglement in a cavity via fractional adiabatic passage. Phys. Rev. A 72, 012339–012344 (2005b)
Amniat-Talab, M., Nader-Ali, R., Guérin, S., Saadati-Niari, M.: Creation of atomic W state in a cavity by adiabatic passage. Opt. Commun. 283, 622–627 (2010)
Amniat-Talab, M., Saadati-Niari, M., Guérin, S.: Quantum state engineering in ion-traps via adiabatic passage. Eur. Phys. J. D 66, 216–225 (2012)
Bell, J.S.: On the Einstein Podolsky Rosen paradox. Physics 1, 195–200 (1964)
Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.: Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 70, 1895–1899 (1993)
Bollinger, J.J., Itano, W.M., Wineland, D.J., Heinzen, D.J.: Optimal frequency measurements with maximally correlated states. Phys. Rev. A 54, R4649–R4652 (1996)
Bose, S., Knight, P.L., Plenio, M.B., Vedral, V.: Proposal for teleportation of an atomic state via cavity decay. Phys. Rev. Lett. 83, 5158–5161 (1999)
Bouwmeester, D., Pan, W.J., Daniell, M., Weinfurter, H., Zeilinger, A.: Observation of three-photon Greenberger–Horne–Zeilinger entanglement. Phys. Rev. Lett. 82, 1345–1349 (1999)
Cirac, J.I., Zoller, P., Kimble, H.J., Mabuchi, H.: Quantum state transfer and entanglement distribution among distant nodes in a quantum network. Phys. Rev. Lett. 78, 3221–3224 (1997)
Dur, W., Vidal, G., Cirac, J.I.: Three qubits can be entangled in two inequivalent ways. Phys. Rev. A 62, 062314–62326 (2000)
Ekert, A.K.: Quantum cryptography based on Bells theorem. Phys. Rev. Lett. 67, 661–663 (1991)
Gaubatz, U., Rudecki, P., Schiemann, S., Bergmann, K.: Population transfer between molecular vibrational levels by stimulated Raman scattering with partially overlapping laser: a new concept and experimental results. J. Chem. Phys. 92, 5363–5376 (1990)
Goto, H., Ichimura, K.: Multiqubit controlled unitary gate by adiabatic passage with an optical cavity. Phys. Rev. A 70, 012305–012313 (2004)
Greenberger, D.M., Horner, M., Shimony, A., Zeilinger, A.: Bells theorem without inequalities. Am. J. Phys. 58, 1131–1143 (1990)
Hao, S.Y., Xia, Y., Song, J., An, N.B.: One-step generation of multiatom Greenberger–Horne–Zeilinger states in separate cavities via adiabatic passage. J. Opt. Soc. Am. 30, 468–474 (2013)
Ivanov, P.A., Torosov, B.T., Vitanov, N.V.: Navigation between quantum states by quantum mirrors. Phys. Rev. A 75, 012323–012332 (2007)
Ivanov, P.A., Vitanov, N.V.: Synthesis of arbitrary unitary transformations of collective states of trapped ions by quantum householder reflections. Phys. Rev. A 77, 012335–012342 (2008)
Kral, P., Thanopulos, L., Shapiro, M.: Colloquium: coherently controlled adiabatic passage. Rev. Mod. Phys. 79, 53–77 (2007)
Li, Y.L., Fang, M.F., Xiao, X., Zeng, K., Wu, C.: Greenberger–Horne–Zeilinger state generation of three atoms trapped in two remote cavities. J. Phys. B 43, 085501–085507 (2010)
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
Pan, J.W., Zeilinger, A.: Greenberger–Horne–Zeilinger-state analyzer. Phys. Rev. A 57, 2208–2211 (1998)
Parkins, A.S., Marte, P., Zoller, P., Kimble, H.J.: Synthesis of arbitrary quantum states via adiabatic transfer of Zeeman coherence. Phys. Rev. Lett. 71, 3095–3098 (1993)
Pellizzari, T.: Quantum networking with optical fibres. Phys. Rev. Lett. 79, 5242–5245 (1997)
Sangouard, N., Lacour, X., Gurin, S., Jauslin, H.R.: Fast SWAP gate by adiabatic passage. Phys. Rev. A 72, 062309–062314 (2005)
Serafini, A., Mancini, S., Bose, S.: Distributed quantum computation via optical fibers. Phys. Rev. Lett. 96, 010503–010507 (2006)
van Enk, J., Cirac, J.I., Zoller, P.: Ideal quantum communication over noisy channels: a quantum optical implementation. Phys. Rev. Lett. 78, 4293–4296 (1997)
Vitanov, N.V.: Adiabatic population transfer by delayed laser pulses in multistate systems. Phys. Rev. A 58, 2295–2309 (1998)
Vitanov, N.V., Suominen, K.A., Shore, B.W.: Creation of coherent atomic superpositions by fractional stimulated Raman adiabatic passage. J. Phys. B 32, 4535–4546 (1999)
Vitanov, N.V., Fleischhauer, M., Shore, B.W., Bergmann, K.: Coherent manipulation of atoms and molecules by sequential laser pulses. Adv. At. Mol. Opt. Phys. 46, 55–190 (2001)
Yang, P.C., Han, S.: Preparation of Greenberger–Horne–Zeilinger entangled states with multiple superconducting quantum-interference device qubits or atoms in cavity QED. Phys. Rev. A 70, 062323–062329 (2004)
Yin, Z.Q., Li, F.L.: Multiatom and resonant interaction scheme for quantum state transfer and logical gates between two remote cavities via an optical fiber. Phys. Rev. A 75, 012324–012348 (2007)
Zheng, B.S.: One-step synthesis of multiatom Greenberger–Horne–Zeilinger states. Phys. Rev. Lett. 87, 230404–230408 (2001)
Zheng, A.: Generation of Greenberger–Horne–Zeilinger states for multiple atoms trapped in separated cavities. Eur. Phys. J. D 54, 719–722 (2009)
Zheng, A., Liu, J.: Generation of an N-qubit Greenberger–Horne–Zeilinger state with distant atoms in bimodal cavities. J. Phys. B 44, 165501–165509 (2011)
Zou, B.X., Mathis, W.: Generating a four-photon polarization-entangled cluster state. Phys. Rev. A 71, 032308–032312 (2005)
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We wish to acknowledge the financial support of the MSRT of Iran, Urmia University (Research Grant N. 92/science/009) and University of Mohaghegh Ardabili.
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Izadyari, M., Saadati-Niari, M., Khadem-Hosseini, R. et al. Creation of N-atom GHZ state in atom-cavity-fiber system by multi-state adiabatic passage. Opt Quant Electron 48, 71 (2016). https://doi.org/10.1007/s11082-015-0356-2
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DOI: https://doi.org/10.1007/s11082-015-0356-2