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Journal of Hebei Normal University

Sudden Death and Sudden Birth of Entanglement Between Two Atoms Successively Passing Fock State Field

Gao De-ying

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

The dynamics of entanglement of two initially separate atoms passing through a cavity one after another is studied by the negativity method.The effects of the two atom initial states and the field in the fock state on the time evolution of atom-atom entanglement are examined.The phenomenon of sudden birth and death of entanglement occurs when the photon number in the fock state is not zero and the phenomenon will change with the two atom initial states and the photon number.

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The dynamics of entanglement of two initially separate atoms passing through a cavity one after another is studied by the negativity method.The effects of the two atom initial states and the field in the fock state on the time evolution of atom-atom entanglement are examined.The phenomenon of sudden birth and death of entanglement occurs when the photon number in the fock state is not zero and the phenomenon will change with the two atom initial states and the photon number.
By using the negativity method,we study the entanglement dynamics of two entangled atoms,which are in two levels,that go through the high Q fields in the Fock state one by one.The results shows that the initial state of the two-atom and the field in the Fock state are influenced by the entanglement dynamics of two atoms,and we also make the significant comparison of the two-atom entanglement evolutions in the condition that the two atoms are laid in the QED at the same time.We find that: when the cavity field is in the vacuum state,the two-atom entanglements under these two models evolve periodicity;when we choose the cavity field in a Fock state,the entanglement between the two atoms can appear tobe the phenomenon of entanglement sudden death.Furthermore,we investigate the entanglement transfer problem and the relationship among entanglement sudden death,the initial state,and the number of the Fock state.
We investigate the entanglement dynamics via the concurrence of two distant atoms interacting off-resonantly with two cavity fields in Fock states, respectively. We find that the evolution of entanglement has sudden death and sudden birth phenomena, that with the increase of photon numbers in the two cavities, the alternate frequency of sudden death and sudden birth turns fast, and that the amplitude of concurrence oscillates regularly with oscillation frequency becoming slow when the cavity fields have the same photon numbers. While, the maximum of concurrence declines and the amplitude of concurrence oscillates irregularly when the two cavity fields have different photon numbers. In addition, we find the length of death time is dependent on the initial entanglement.
The dynamics of entanglement of two atoms passing through a bimodal cavity one after another are investigated by employing the concurrence. The effects of the atomic coherence of the first atom and the initial entanglement of the cavity field on the time evolution of atom-atom entanglement are analyzed. The results show that the phenomenon of sudden birth of entanglement between two atoms occurs under some conditions and the maximum for the creation of the entanglement is dependent on the initial entanglement of the cavity field. Moreover, the threshold time and maximum for the creation of the entanglement can be controlled by changing the amplitude of atom. We find that the proposal may provide us with a theoretical way to control and manipulate the entanglement.
The entanglement dynamics of two atoms initially in an entangled state system interacting with a bimodal field is investigated by making use of the concurrence and linear entropy.The effect of the initial entanglement degree of two atoms and the cavity field on the time evolution of concurrence is analyzed.The results show that the phenomenon of sudden death of the entanglement between two atoms occurs.The length of the death time interval is independent of the initial entanglement degree of two atoms.However,the death time depends on the initial entanglement degree of the cavity field.The atom and the field are entangled during all the evolution process.
One of the initial entangled two-atom interact with a high-Q cavity in the single-mode light field.Using the partially transposed matrix of negative eigenvalues(negativity) method we analyse the two-atom entanglement characteristics in a vacuum field,Fock state field and Kerr-media environment,and find that the entanglement of two atoms periodically oscillates in vacuum field,while in the number of particles field entanglement sudden death phenomenon occurs.When the atomic system interacts with the Kerr medium,we obtain that the phenomenon of entanglement sudden death can be eliminated in the particle-number field,and the entanglement of two-atom oscillates aroud a high-value state under certain conditions.
We investigate the evolution of initial entangled two-atom in cavity with single-mode light field. Using the method of negative eigenvalue of partially transposed matrix we analysis the evolution of the entanglement of the two-atom in a field of number state and Kerr-media environment and find that entanglement sudden death phenomenon occurs in the number of particles field. When the atoms interact with the Kerr medium, we obtain that the phenomenon of sudden death can be eliminated in the particle-number field, and the entanglement of two-atom oscillates around a high-value.