Effect of the dipole-dipole interaction on entanglement sudden death of atoms in Tavis-Cummings model

Abstract

Abstract:

The concurrence of the two atoms with dipole-dipole interaction in the Tavis-Cummings model in an initial x state is derived. The influence of the dipole-dipole interaction on the entanglement time evolution and the entanglement sudden death (ESD) are analysed. The relation between the concurrence and the atomic interaction energy is investigated. The results show that the dipole-dipole interaction affects the concurrence and ESD remarkably, leads periods and amplitudes of the concurrence oscillation to change and time interval and number of the ESD to decrease. The relation between the concurrence and interaction energy relies on initial states of the atoms.

Key words: qauantum optics, x state, dipole-dipole interaction, concurrence, entanglement sudden death, interaction energy

WANG Zhong-Chun. Effect of the dipole-dipole interaction on entanglement sudden death of atoms in Tavis-Cummings model[J]. J4, 2009, 26(6): 681-688.

References

[1] YöNAC M, Yu T, EBERLY J H. Sudden death of entanglement of two Jaynes-Cummings atoms
[J]. J. Phys. B: At. Mol. Opt. Phys., 2006, 39(15): s621-s625.

[2] HEREC J, FIURášEK J, JR L M. Entanglement generation in continuously coupled parametric generators
[J]. J. Opt. B: Quantum Semiclass. Opt., 2003, 5: 419-426.

[3] ZhEMG S B, GUO G C. Efficient scheme for two-atom entanglement and quantum information processing in cavity QED
[J]. Phys. Rev. Lett., 2000, 85(11): 2392-2395.

[4] Yu T , EBERLY J H. Finite-Time Disentanglement Via Spontaneous Emission
[J]. Phys. Rev. Lett., 2004, 93(14): 140404.

[5] Huang W X, Wang M S, Wang Q M. Time evolution of two-atom entanglement in Tavis -Cummings model
[J]. Chinese Journal of quantum Electronics(量子电子学报), 2007, 24(3): 329-334.

[6] WANG Z C, Liu C L. Effect of the atomic entanglement on the fidelity of quantum states in the driving Tavis-Cummings model
[J]. Chinese Journal of quantum Electronics(量子电子学报), 2008, 25(2): 191-197 (in Chinese).
[7] MAN Z X , XIA Y J, AN N B. On conditions for atomic entanglement sudden death in cavity QED
[J]. J. Phys. B: At. Mol. Opt. Phys., 2008, 41(8): 085503.

[8] SAINZ I, BJöRK G. Entanglement invariant for the double Jaynes-Cummings model
[J]. Phys. Rev. A, 2007, 76(4): 042313.

[9] CUI H T, LI K, YI X X. A study on the sudden death of entanglement
[J]. Phys. Lett. A, 2007, 365(1): 44-48.

[10] CAVALCANTI D, OLIVEIRA J G, JR. et al. Entanglement versus energy in the entanglement transfer problem
[J]. Phys. Rev. A, 2006, 74(4): 042328

[11] Ali M, Alber G, Rau A R P. Manipulating entanglement sudden death of two-qubit X-states in zero-and finite-temperature reservoirs
[J]. J. Phys. B: At. Mol. Opt. Phys., 2009, 42: 025501.

[12] WANG Z C, WANG Q, GU Y J et al. Eigenenergies and wave functions of the Tavis- Cummings system driven by an external classical coherent field
[J]. Acta Phys. Sin. (物理学报), 2005, 54(1): 107-112(in Chinese).

[13] ZHANG Y D. Quantum Mechanics
[M]. Beijing: Science Press(北京: 科学出版社), 2002: 360-361(in Chinese).
[14] TANAS R, FICEK Z. Entangling two atoms via spontaneous emission
[J]. J. Opt. B: Quantum Semiclass. Opt., 2004, 6, s90-s97.

[15] WOOTTERS W K. Entanglement of Formation of an Arbitrary State of Two Qubits
[J]. Phys. Rev. Lett., 1998, 80(10): 2245-2248.

[16] HILL S, WOOTTERS W K. Entanglement of a Pair of Quantum Bits
[J]. Phys. Rev. Lett., 1997, 78(26): 5022-5025.

[17] SHAN C J, XIA Y J. The entanglement character of two entangled atoms in Tavis-Cummings model
[J]. Acta Phys. Sin. (物理学报), 2006, 55(4): 1585-1590(in Chinese).