Top

Quantum Information Processing

Published in:

01-06-2013

Geometric phase and entanglement for a single qubit interacting with deformed-states superposition

Authors: K. Berrada, S. Abdel-Khalek, C. H. Raymond Ooi

Published in: Quantum Information Processing | Issue 6/2013

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

The geometric phase and quantum entanglement for a nonlinear field-atom system are described quantitatively in terms of different parameters. Specifically, considering a deformed Schrödinger cat interacting with a qubit and taking into account the time dependent of the system coupling. The results show that the initial state setting, atomic motion, photon number and deformation play important roles in the evolution of the system dynamics, nonlocal correlation and geometric phase. An interesting correlation between the entanglement and geometric phase is observed during the time evolution. The presented system is very useful to generate and maintain high amount of entanglement through controlling the phase variation of the system under consideration. We test this observation with experimentally accessible parameters and some new aspects are obtained.

previous article Analysis of the two-particle controlled interacting quantum walks

next article Erratum to: Geometric phase and entanglement for a single qubit interacting with deformed-states superposition

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

inform now

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!

inform now

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!

inform now

Pancharatnam, S.: Proc. Indian Acad. Sci. A 44, 247 (1956)MathSciNet

Berry, M.V.: Proc. R. Soc. Lond. Ser. A 392, 45 (1984)ADSMATHCrossRef

Jordan, T.F.: Phys. Rev. A 38, 1590 (1988)ADSCrossRef

Samuel, J., Bhandari, R.: Phys. Rev. Lett. 60, 2339 (1988)MathSciNetADSCrossRef

Berry, M.V.: J. Mod. Opt. 34, 1401 (1987)ADSMATHCrossRef

Weinfurter, H., Banudrek, G.: Phys. Rev. Lett. 64, 1318 (1990)ADSCrossRef

Wu, Y.-S., Li, H.-Z.: Phys. Rev. B 38, 11907 (1988)ADSCrossRef

Tarasov, V.E.: J. Phys. A 35, 5207 (2002)MathSciNetADSMATHCrossRef

Berrada, K., Eleuch, H., Hassouni, Y.: J. Phys. B: At. Mol. Opt. Phys. 44, 145503 (2011)ADSCrossRef

10.

Sjoqvist, E., Pati, A.K., Ekert, A.K., Anandan, J.S., Ericsson Ericsson, M., Oi, D.K.L., Vedral, V.: Phys. Rev. Lett. 85, 2845 (2000)ADSCrossRef

11.

Vedral, V.: J. Mod. Opt. 47, 2501 (2000)MathSciNetADSMATH

12.

Abdel-Aty, M.: J. Opt. B 5, 349 (2003)ADSCrossRef

13.

Abdel-Aty, M., Abdel-Khalek, S., Obada, A.-S.F.: Opt. Rev. 7, 499 (2000)CrossRef

14.

Wagh, G., Rakhecha, V.C.: Phys. Lett. A 197, I12 (1995)

15.

Lu, J.: Eur. Phys. J. D 5, 307 (1999)ADS

16.

Lawande, Q.V., Lawande, S.V., Joshi, A.: Phys. Lett. A. 251, 164 (1999)ADSCrossRef

17.

Abdel-Aty, M.: Phys. Lett. A 373, 3572 (2009)ADSMATHCrossRef

18.

Bouchene, M.A., Abdel-Aty, M.: Phys. Rev. A 79, 055402 (2009)ADSCrossRef

19.

Pati, A.: Int. J. Quant. Inf. 1, 135 (2003)MATHCrossRef

20.

Drinfeld, V.G.: Quantum groups. In: Gleason, A.M. (ed.) Proceedings of the International Congress of Mathematics, Berkeley vol. I, p. 798. American Mathematicial Society, Providence (1986)

21.

Biedenharn, L.C.: J. Phys. A 22, L873 (1989)MathSciNetADSMATHCrossRef

22.

Macfarlane, A.J.: J. Phys. A 22, 4581 (1989)MathSciNetADSMATHCrossRef

23.

Man’ko, V.I., Marmo, G., Solimeno, S., Zaccaria, F.: Int. J. Mod. Phys. A. 8, 3577 (1993)MathSciNetADSMATHCrossRef

24.

Man’ko, V.I., Marmo, G., Zaccaria, F., Sudarshan, E.C.G.: Phys. Scr. 55, 528 (1997)ADSCrossRef

25.

Bonatsos, D., Daskaloyannis, C., Kokkotas, K.: J. Phys. A Math. Gen. 24, L795 (1991)MathSciNetADSMATHCrossRef

26.

Ballesteros, A., Civitarese, O., Reboiro, M.: Phys. Rev. C 68, 044307 (2003)ADSCrossRef

27.

Dodonov, V.V.: J. Opt. B Quant. Semiclass. 4, R1 (2002)MathSciNetADSCrossRef

28.

Katriel, J., Solomon, A.I.: Phys. Rev. A 49, 5149 (1994)ADSCrossRef

29.

Si-cong, J.S., Hong-yi, F.: Phys. Rev. A 49, 2277 (1994)MathSciNetADSCrossRef

30.

Berrada, K., Benmoussa, A., Hassouni, Y.: Quant. Inf. Proc. 10, 575 (2011)MathSciNetMATHCrossRef

31.

Berrada, K., El Baz, M., Hassouni, Y.: J. Stat. Phys. 142, 510 (2011)MathSciNetADSMATHCrossRef

32.

Berrada, K., El Baz, M., Hassouni, Y.: Rep. Math. Phys. 68, 23 (2011)MathSciNetADSMATHCrossRef

33.

Berrada, K., Hassouni, Y.: Eur. Phys. J. D 61, 513 (2011)ADSCrossRef

34.

De Chiara, G., Palma, G.M.: Phys. Rev. Lett. 91, 090404 (2003)CrossRef

35.

Einstein, A., Podolsky, B., Rosen, N.: Phys. Rev. 47, 777 (1935)ADSMATHCrossRef

36.

Nielsen, M.A., Chuang, I.L.: Quantum Computation and Information. Cambridge University Press, Cambridge (2000)MATH

37.

Huver, S.D., Wildfeuer, C.F., Dowling, J.P.: Phys. Rev. A 78, 063828 (2008)ADSCrossRef

38.

Müstecaphoǧlu, Ö.E.: Phys. Rev. A 68, 023811 (2003)CrossRef

39.

Sargent III, M., Scully, M.O., Lamb Jr, W.E.: Laser Physics. Addison-Wesley, Reading/Mass (1974)

40.

Enaki, N.A., Ciobanu, N.: J. Mod. Opt. 55, 1557 (2008)MATHCrossRef

41.

Carmichael, H.J., Sanders, B.C.: Phys. Rev. A 60, 2497 (1999)ADSCrossRef

42.

Hood, C.J., Chapman, M.S., Lynn, T.W., Kimble, H.J.: Phys. Rev. Lett. 80, 4157 (1998)ADSCrossRef

43.

Berrada, K.: Opt. Commun. 285, 2227 (2012)ADSCrossRef

44.

Tsallis, C.: J. Stat. Phys. 52, 479 (1988)MathSciNetADSMATHCrossRef

45.

Braz, J.: Phys. 29, 1 (1999)

46.

MacFarlane, A.J.: J. Phys. A 22, 4581 (1989)MathSciNetADSMATHCrossRef

47.

Berrada, K., El Baz, M., Hassouni, Y.: J. Stat. Phys. 142, 510 (2011)MathSciNetADSMATHCrossRef

48.

Aharonov, Y., Anandan, J.S.: Phys. Rev. Lett. 58, 1593 (1987)MathSciNetADSCrossRef

49.

Sjöqvist, E., Pati, A.K., Ekert, A., Anandan, J.S., Ericsson, M., Oi, D.K.L., Vedral, V.: Phys. Rev. Lett. 85, 2845 (2000)ADSCrossRef

50.

Phoenix, S.J.D., Knight, P.L.: Phys. Rev. Lett. 66, 2833 (1991)ADSCrossRef

51.

Berrada, K., Fanchini, F.F., Abdel-Khalek, S.: Phys. Rev. A 85, 052315 (2012)ADSCrossRef

Title: Geometric phase and entanglement for a single qubit interacting with deformed-states superposition
Authors: K. Berrada
S. Abdel-Khalek
C. H. Raymond Ooi
Publication date: 01-06-2013
Publisher: Springer US
Published in: Quantum Information Processing / Issue 6/2013
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-012-0510-8

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"

Other articles of this Issue 6/2013

Control and manipulation of entanglement between two coupled qubits by fast pulses

Efficient entanglement concentration for electron-spin W state with the charge detection

Evolutionarily stable sets in quantum penny flip games

A quantum protocol for millionaire problem with Bell states

Quantum computation and entangled state generation via long-range off-resonant Raman coupling

Quantum private comparison against decoherence noise