Abstract
We consider two independent models which consist of an ion interacting with laser field. The influence of the initial degree of entanglement of the two ions on the entanglement of internal states of ions, ion–ion vibration entanglement and ion vibration-ion vibration entanglement is discussed. We examine entanglement via concurrence and negativity, and find that the sum of entanglement between two ions and entanglement between two ion vibration states is conserved. It is shown that entanglement sudden death (ESD) can happen and the less the value of initial degree of entanglement of the two ions is, the longer the ESD time cost. The initial degree of entanglement of the two ions has no influence on the trends of the evolution of entanglement. The less value of the initial degree of entanglement of the two ions is, the smaller the peak value of the entanglement achieved.
Similar content being viewed by others
References
J J García-Ripoll, P Zoller and J I Cirac Phys. Rev. A 71 362 (2005)
C H Bennett, G Brassard and C Crepeau Phys. Rev. Lett. 70 1895 (1993)
A K Ekert Phys. Rev. Lett. 67 661 (1991)
C H Bennett and S J Wiesner Phys. Rev. Lett. 69 2881 (1992)
O Glöckl, S Lorenz and C Marquardt Phys. Rev. A 68 356 (2003)
M Zukowski, A Zeilinger and M A Horne Phys. Rev. Lett. 71 4287 (1993)
J W Pan, D Bouwmeester and H Weinfurter Phys. Rev. Lett. 80 3891 (1998)
X Zhang, M Um and J Zhang Phys. Rev. Lett. 110 070401 (2013)
T Choi, S Debnath and T A Manning Phys. Rev. Lett. 112 789 (2014)
S An, J N Zhang and M Um Nat. Phys. 11 193 (2014)
R Dermez, B Deveci and D Ö Güney Eur. Phys. J. D 67 1 (2013)
L Duan Poultry 55 549 (2014)
Z J Wang and K Zhang J. Ato. & Mol. Phys. 27 497 (2010)
D Leibfried Rev. Mod. Phys. 75 281 (2003)
M Abdel-Aty and H Moya-Cessa Phys. Lett. A 369 372 (2007)
J G Bohnet, B C Sawyer and J W Britton Sci 352 1297 (2016)
U Tanaka, K Masuda and Y Akimoto Appl. Phys. B 107 907 (2012)
Y Ibaraki, U Tanaka and S Urabe Appl. Phys. B 105 219 (2011)
T E Lee and M C Cross Phys. Rev. Lett. 106 1567 (2011)
B P Lanyon, M Zwerger and P Jurcevic Phys. Rev. Lett. 112 291 (2013)
M Um, J H Zhang and D Lv Nat. Commun. 7 11410 (2016)
M Abdel-Aty, M Bouchene and A R Mcgurn Quantum Inf. Process. 13 1937 (2014)
N Yazdanpanah and M K Tavassoly J. Mod. Opt. 62 470 (2014)
S Li Int. J. Theo. Phys. 54 10 (2014)
A B Bhattacherjee Int. J. Theo. Phys. 55 1944 (2016)
J I Cirac, R Blatt and P Zoller Phys. Rev. A 49 R3174 (1994)
M Yonac and T Yu J. Phys. B Ato. Mol. & Opt. Phys. 40 S45 (2007)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liao, QH., Wu, JF. & Wang, P. Properties of entanglement between the two trapped ions. Indian J Phys 91, 1615–1624 (2017). https://doi.org/10.1007/s12648-017-1081-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12648-017-1081-4