Skip to main content
Erschienen in: Quantum Information Processing 6/2015

01.06.2015

Maximal atom–photon entanglement in a double-\(\Lambda \) quantum system

verfasst von: Zeinab Kordi, Saeed Ghanbari, Mohammad Mahmoudi

Erschienen in: Quantum Information Processing | Ausgabe 6/2015

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The atom–photon entanglement of a dressed atom and its spontaneous emission in a double-\(\Lambda \) closed-loop atomic system is studied under multi-photon resonance condition. It is shown that even in the absence of quantum interference due to the spontaneous emission, the von Neumann entropy is phase-sensitive and it can be controlled by either intensity or relative phase of the applied fields. It is demonstrated that for the special case of Rabi frequency of the applied fields, the system is maximally entangled. Moreover, an open-loop configuration is considered, and it is shown that the degree of entanglement can be controlled by intensity of the applied fields. Furthermore, in electromagnetically induced transparency condition, the system is disentangled. Such a system can be used for quantum information processing via entanglement using optical switching.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Einstein, A., Podolsky, B., Rosen, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777 (1935)CrossRefADSMATH Einstein, A., Podolsky, B., Rosen, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777 (1935)CrossRefADSMATH
2.
Zurück zum Zitat Schrodinger, E.: Die gegenwärtige Situation in der Quantenmechanik. Die Naturwissenschaften 23, 807–812 (1935)CrossRefADS Schrodinger, E.: Die gegenwärtige Situation in der Quantenmechanik. Die Naturwissenschaften 23, 807–812 (1935)CrossRefADS
3.
Zurück zum Zitat Bennett, C.H., DiVincenzo, D.P., Smolin, J.A., Wootters, W.K.: Mixed-state entanglement and quantum error correction. Phys. Rev. A 54, 3824–3851 (1996)CrossRefADSMathSciNet Bennett, C.H., DiVincenzo, D.P., Smolin, J.A., Wootters, W.K.: Mixed-state entanglement and quantum error correction. Phys. Rev. A 54, 3824–3851 (1996)CrossRefADSMathSciNet
4.
Zurück zum Zitat Zukowski, M., Zeilinger, A., Horne, M.A., Ekert, A.K.: Event-ready-detectors Bell experiment via entanglement swapping. Phys. Rev. Lett. 71, 4287–4290 (1993)CrossRefADS Zukowski, M., Zeilinger, A., Horne, M.A., Ekert, A.K.: Event-ready-detectors Bell experiment via entanglement swapping. Phys. Rev. Lett. 71, 4287–4290 (1993)CrossRefADS
5.
Zurück zum Zitat 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)CrossRefADSMATHMathSciNet 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)CrossRefADSMATHMathSciNet
6.
Zurück zum Zitat Laflamme, R., Miquel, C., Paz, J.P., Zurek, W.H.: Perfect quantum error correction code. Phys. Rev. Lett. 77, 198–201 (1996)CrossRefADS Laflamme, R., Miquel, C., Paz, J.P., Zurek, W.H.: Perfect quantum error correction code. Phys. Rev. Lett. 77, 198–201 (1996)CrossRefADS
7.
Zurück zum Zitat Plenio, M.B., Vedral, V., Knight, P.L.: Quantum error correction in the presence of spontaneous emission. Phys. Rev. A 55, 67–71 (1997)CrossRefADSMathSciNet Plenio, M.B., Vedral, V., Knight, P.L.: Quantum error correction in the presence of spontaneous emission. Phys. Rev. A 55, 67–71 (1997)CrossRefADSMathSciNet
9.
Zurück zum Zitat Marcikic, I., De Riedmatten, H., Tittel, W., Zbinden, H., Legr, M., Gisin, N.: Distribution of time-bin entangled qubits over 50 km of optical fiber. Phys. Rev. Lett. 93, 180502 (2004)CrossRefADS Marcikic, I., De Riedmatten, H., Tittel, W., Zbinden, H., Legr, M., Gisin, N.: Distribution of time-bin entangled qubits over 50 km of optical fiber. Phys. Rev. Lett. 93, 180502 (2004)CrossRefADS
10.
Zurück zum Zitat Ursin, R., Tiefenbacher, F., Schmitt-Manderbach, T., Weier, H., Scheidl, T., Lindenthal, M., Blauensteiner, B., Jennewein, T., Perdigues, J., Trojek, P., Omer, B., Fürst, M., Meyenburg, M., Rarity, J., Sodnik, Z., Barbieri, C., Weinfurter, H., Zeilinger, A.: Entanglement-based quantum communication over 144 km. Nat. Phys. 3, 481–486 (2007)CrossRef Ursin, R., Tiefenbacher, F., Schmitt-Manderbach, T., Weier, H., Scheidl, T., Lindenthal, M., Blauensteiner, B., Jennewein, T., Perdigues, J., Trojek, P., Omer, B., Fürst, M., Meyenburg, M., Rarity, J., Sodnik, Z., Barbieri, C., Weinfurter, H., Zeilinger, A.: Entanglement-based quantum communication over 144 km. Nat. Phys. 3, 481–486 (2007)CrossRef
11.
Zurück zum Zitat Braunstein, S.L., van Loock, P.: Quantum information with continuous variables. Rev. Mod. Phys. 77, 513–577 (2005)CrossRefADSMATH Braunstein, S.L., van Loock, P.: Quantum information with continuous variables. Rev. Mod. Phys. 77, 513–577 (2005)CrossRefADSMATH
12.
Zurück zum Zitat Ladd, T.D., Jelezko, F., Laflamme, R., Nakamura, Y., Monroe, C., O’Brien, J.L.: Quantum computers. Nature 464, 45–53 (2010)CrossRefADS Ladd, T.D., Jelezko, F., Laflamme, R., Nakamura, Y., Monroe, C., O’Brien, J.L.: Quantum computers. Nature 464, 45–53 (2010)CrossRefADS
14.
Zurück zum Zitat Fang, M.F., Zhu, S.Y.: Entanglement between a \(\Lambda \)-type three-level atom and its spontaneous emission fields. Phys. A 369, 475–483 (2006)CrossRef Fang, M.F., Zhu, S.Y.: Entanglement between a \(\Lambda \)-type three-level atom and its spontaneous emission fields. Phys. A 369, 475–483 (2006)CrossRef
15.
Zurück zum Zitat Sahrai, M., Noshad, H., Mahmoudi, M.: Entanglement of an atom and its spontaneous emission fields via spontaneously generated coherence. J. Sci. Islam. Repub. Iran 22, 171–176 (2011) Sahrai, M., Noshad, H., Mahmoudi, M.: Entanglement of an atom and its spontaneous emission fields via spontaneously generated coherence. J. Sci. Islam. Repub. Iran 22, 171–176 (2011)
16.
Zurück zum Zitat Abazari, M., Mortezapour, A., Mahmoudi, M., Sahrai, M.: Phase-controlled atom-photon entanglement in a three-level V-type atomic system via spontaneously generated coherence. Entropy 13, 1541–1554 (2011)CrossRefADSMATH Abazari, M., Mortezapour, A., Mahmoudi, M., Sahrai, M.: Phase-controlled atom-photon entanglement in a three-level V-type atomic system via spontaneously generated coherence. Entropy 13, 1541–1554 (2011)CrossRefADSMATH
17.
Zurück zum Zitat Mortezapour, A., Kordi, Z., Mahmoudi, M.: Phase-controlled atom-photon entanglement in a three-level \(\Lambda \) -type closed-loop atomic system. Chin. Phys. B 22, 060310 (2013)CrossRef Mortezapour, A., Kordi, Z., Mahmoudi, M.: Phase-controlled atom-photon entanglement in a three-level \(\Lambda \) -type closed-loop atomic system. Chin. Phys. B 22, 060310 (2013)CrossRef
18.
Zurück zum Zitat Korsunsky, E.A., Leinfellner Huss, N.A., Baluschev, S., Windholz, L.: Phase-dependent electromagnetically induced transparency. Phys. Rev. A 59, 2302–2305 (1999)CrossRefADS Korsunsky, E.A., Leinfellner Huss, N.A., Baluschev, S., Windholz, L.: Phase-dependent electromagnetically induced transparency. Phys. Rev. A 59, 2302–2305 (1999)CrossRefADS
19.
Zurück zum Zitat Lukin, M., Hemmer, P., Scully, M.: Resonant nonlinear optics in phase-coherent media. Adv. At. Mol. Opt. Phys. 42, 347–386 (2000)ADS Lukin, M., Hemmer, P., Scully, M.: Resonant nonlinear optics in phase-coherent media. Adv. At. Mol. Opt. Phys. 42, 347–386 (2000)ADS
20.
Zurück zum Zitat Morigi, G., Franke-Arnold, S., Oppo, G.L.: Phase-dependent interaction in a four-level atomic configuration. Phys. Rev. A 66, 053409 (2002)CrossRefADS Morigi, G., Franke-Arnold, S., Oppo, G.L.: Phase-dependent interaction in a four-level atomic configuration. Phys. Rev. A 66, 053409 (2002)CrossRefADS
21.
Zurück zum Zitat Merriam, A.J., Sharpe, S.J., Shverdin, M., Manuszak, D., Yin, G.Y., Harris, S.E.: Efficient nonlinear frequency conversion in an all-resonant double-\(\Lambda \) system. Phys. Rev. Lett. 84, 5308–5311 (2000)CrossRefADS Merriam, A.J., Sharpe, S.J., Shverdin, M., Manuszak, D., Yin, G.Y., Harris, S.E.: Efficient nonlinear frequency conversion in an all-resonant double-\(\Lambda \) system. Phys. Rev. Lett. 84, 5308–5311 (2000)CrossRefADS
22.
Zurück zum Zitat Mahmoudi, M., Evers, J.: Light propagation through closed-loop atomic media beyond the multiphoton resonance condition. Phys. Rev. A 74, 063827 (2006)CrossRefADS Mahmoudi, M., Evers, J.: Light propagation through closed-loop atomic media beyond the multiphoton resonance condition. Phys. Rev. A 74, 063827 (2006)CrossRefADS
23.
Zurück zum Zitat Kumar, P., Kolobov, M.I.: Degenerate four-wave mixing as a source for spatially-broadband squeezed light. Opt. Commun. 104, 374–378 (1994)CrossRefADS Kumar, P., Kolobov, M.I.: Degenerate four-wave mixing as a source for spatially-broadband squeezed light. Opt. Commun. 104, 374–378 (1994)CrossRefADS
24.
Zurück zum Zitat Glorieux, Q., Dubessy, R., Guibal, S., Guidoni, L., Likforman, J.-P., Coudreau, T., Arimondo, E.: Double- \(\Lambda \) microscopic model for entangled light generation by four-wave mixing. Phys. Rev. A 82, 033819 (2002)CrossRefADS Glorieux, Q., Dubessy, R., Guibal, S., Guidoni, L., Likforman, J.-P., Coudreau, T., Arimondo, E.: Double- \(\Lambda \) microscopic model for entangled light generation by four-wave mixing. Phys. Rev. A 82, 033819 (2002)CrossRefADS
25.
Zurück zum Zitat Camacho, R.M.: Entangled photon generation using four-wave mixing in azimuthally symmetric microresonators. Opt. Exp. 20, 21977–21991 (2012)CrossRefADS Camacho, R.M.: Entangled photon generation using four-wave mixing in azimuthally symmetric microresonators. Opt. Exp. 20, 21977–21991 (2012)CrossRefADS
26.
Zurück zum Zitat Pooser, R.C., Marino, A.M., Boyer, V., Jones, K.M., Lett, P.D.: Quantum correlated light beams from non-degenerate four-wave mixing in an atomic vapor: the D1 and D2 lines of \({ }^{85}Rb\) and \({ }^{87}Rb\). Opt. Exp. 17, 16722–16730 (2009)CrossRefADS Pooser, R.C., Marino, A.M., Boyer, V., Jones, K.M., Lett, P.D.: Quantum correlated light beams from non-degenerate four-wave mixing in an atomic vapor: the D1 and D2 lines of \({ }^{85}Rb\) and \({ }^{87}Rb\). Opt. Exp. 17, 16722–16730 (2009)CrossRefADS
27.
Zurück zum Zitat Sahrai, M., Arzhang, B., Seifoory, H., Navaeipour, P.: Coherent control of quantum entropy via quantum interference in a four-level atomic system. J. Sci. Islam. Repub. Iran 24, 179–184 (2013) Sahrai, M., Arzhang, B., Seifoory, H., Navaeipour, P.: Coherent control of quantum entropy via quantum interference in a four-level atomic system. J. Sci. Islam. Repub. Iran 24, 179–184 (2013)
29.
Zurück zum Zitat Jing, J., Zhou, Z., Liu, C., Qin, Z., Fang, Y., Zhou, J., Zhan, W.: Ultralow-light-level all-optical transistor in rubidium vapor. Appl. Phys. Lett. 104, 151103 (2014)CrossRefADS Jing, J., Zhou, Z., Liu, C., Qin, Z., Fang, Y., Zhou, J., Zhan, W.: Ultralow-light-level all-optical transistor in rubidium vapor. Appl. Phys. Lett. 104, 151103 (2014)CrossRefADS
30.
Zurück zum Zitat Boyer, V., Marino, A.M., Pooser, R.C., Lett, P.D.: Entangled images from four-wave mixing. Science 321(5888), 544–547 (2008)CrossRefADS Boyer, V., Marino, A.M., Pooser, R.C., Lett, P.D.: Entangled images from four-wave mixing. Science 321(5888), 544–547 (2008)CrossRefADS
31.
Zurück zum Zitat Camacho, R.M., Vudyasetu, P.K., Howell, J.C.: Four-wave-mixing stopped light in hot atomic rubidium vapour. Nat. Photon. 3, 103–106 (2009)CrossRefADS Camacho, R.M., Vudyasetu, P.K., Howell, J.C.: Four-wave-mixing stopped light in hot atomic rubidium vapour. Nat. Photon. 3, 103–106 (2009)CrossRefADS
32.
Zurück zum Zitat Ficek, Z., Swain, S.: Quantum Interference and Coherence: Theory and Experiments. Springer, Berlin (2005) Ficek, Z., Swain, S.: Quantum Interference and Coherence: Theory and Experiments. Springer, Berlin (2005)
33.
Zurück zum Zitat Scully, M.O., Zubairy, M.S.: Quantum Optics. Cambridge University Press, Cambridge (1997)CrossRef Scully, M.O., Zubairy, M.S.: Quantum Optics. Cambridge University Press, Cambridge (1997)CrossRef
34.
Zurück zum Zitat Vedral, V., Plenio, M.B.: Entanglement measures and purification procedures. Phys. Rev. A 57, 1619–1633 (1998)CrossRefADS Vedral, V., Plenio, M.B.: Entanglement measures and purification procedures. Phys. Rev. A 57, 1619–1633 (1998)CrossRefADS
35.
Zurück zum Zitat Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATH Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATH
37.
Zurück zum Zitat Phoenix, S.J.D., Knight, P.L.: Fluctuation and entropy in models of quantum optical resonance. Ann. Phys. 186, 381–407 (1988)CrossRefADSMATH Phoenix, S.J.D., Knight, P.L.: Fluctuation and entropy in models of quantum optical resonance. Ann. Phys. 186, 381–407 (1988)CrossRefADSMATH
38.
Zurück zum Zitat Loss, M., Ruskai, M.B.: Inequalities: Selecta of Elliott H. Lieb. Springer, Berlin (2002)CrossRef Loss, M., Ruskai, M.B.: Inequalities: Selecta of Elliott H. Lieb. Springer, Berlin (2002)CrossRef
39.
Zurück zum Zitat Vogl, U., Glasser, R.T., Glorieux, Q., Clark, J.B., Corzo, N.V., Lett, P.D.: Experimental characterization of Gaussian quantum discord generated by four-wave mixing. Phys. Rev. A 87, 010101 (2013)CrossRefADS Vogl, U., Glasser, R.T., Glorieux, Q., Clark, J.B., Corzo, N.V., Lett, P.D.: Experimental characterization of Gaussian quantum discord generated by four-wave mixing. Phys. Rev. A 87, 010101 (2013)CrossRefADS
40.
Zurück zum Zitat Celeri, L.C., Jonas, M.J., Serra, R.M.: Theoretical and experimental aspects of quantum discord and related measures. Int. J. Quantum Inf. 9, 1837–1873 (2011)CrossRefMATHMathSciNet Celeri, L.C., Jonas, M.J., Serra, R.M.: Theoretical and experimental aspects of quantum discord and related measures. Int. J. Quantum Inf. 9, 1837–1873 (2011)CrossRefMATHMathSciNet
41.
Zurück zum Zitat Korsunsky, E.A., Kosachiov, D.V.: Phase-dependent nonlinear optics with double-\(\Lambda \) atoms. Phys. Rev. A 60, 4996–5009 (1999)CrossRefADS Korsunsky, E.A., Kosachiov, D.V.: Phase-dependent nonlinear optics with double-\(\Lambda \) atoms. Phys. Rev. A 60, 4996–5009 (1999)CrossRefADS
42.
Zurück zum Zitat Nikolai, L., O’Brien, C., Fleischhauer, M.: Fidelity of photon propagation in electromagnetically induced transparency in the presence of four-wave mixing. Phys. Rev. A 88, 013823 (2013)CrossRefADS Nikolai, L., O’Brien, C., Fleischhauer, M.: Fidelity of photon propagation in electromagnetically induced transparency in the presence of four-wave mixing. Phys. Rev. A 88, 013823 (2013)CrossRefADS
Metadaten
Titel
Maximal atom–photon entanglement in a double- quantum system
verfasst von
Zeinab Kordi
Saeed Ghanbari
Mohammad Mahmoudi
Publikationsdatum
01.06.2015
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 6/2015
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-015-0969-1

Weitere Artikel der Ausgabe 6/2015

Quantum Information Processing 6/2015 Zur Ausgabe

Neuer Inhalt