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Acta Physica Sinica

Sudden birth versus sudden death of entanglement during the interaction of macroscopic fields with environments

Luo Cheng-Li, Li-Tuo Shen, Liu Wen-wu

Published Jan 1, 2013• 0 citations
Publisher

Abstract

Decoherence of two initially entangled macroscopic fields each interacting with a loss environment is investigated; environment only have an effect on the leakage of field’s photons. The cavity-cavity entanglement is characterized by concurrence. The results obtained by resolvable values show a surprising result: the two entangled macroscopic fields become completely disentangled even though the leakage rate of the cavities fields is very tiny. Then we find that when the cavity entanglement disappears, the environment entanglement appears. Finally, we present an explanatory study of other entanglement partitions.

DOI
10.7498/aps.62.190301

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Decoherence of two initially entangled macroscopic fields each interacting with a loss environment is investigated; environment only have an effect on the leakage of field’s photons. The cavity-cavity entanglement is characterized by concurrence. The results obtained by resolvable values show a surprising result: the two entangled macroscopic fields become completely disentangled even though the leakage rate of the cavities fields is very tiny. Then we find that when the cavity entanglement disappears, the environment entanglement appears. Finally, we present an explanatory study of other entanglement partitions.
We study the entanglement dynamics of two cavities interacting with independent reservoirs. Expectedly, as the cavity entanglement is depleted, it is transferred to the reservoir degrees of freedom. We find also that when the cavity entanglement suddenly disappears, the reservoir entanglement suddenly and necessarily appears. Surprisingly, we show that this entanglement sudden birth can manifest before, simultaneously, or even after entanglement sudden death. Finally, we present an explanatory study of other entanglement partitions and of higher dimensional systems.
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.
In this paper, we consider the entanglement dynamics of two cavities interacting with independent reservoirs. When the cavity entanglement suddenly disappeared, the reservoir entanglement suddenly and necessarily appears. We study the effect of purity of initial entangled state of two cavities on the entanglement evolution, and acquire that the purity of initial entangled state of two cavities can control the apparition time of the entanglement sudden death and the entanglement sudden birth. Also, we find that the conditions on the apparition of the entanglement sudden death and the entanglement sudden birth can be generalized when the initial entangled state of cavities is not pure, which is a complement to the result in the paper [Phys. Rev. Lett.101 (2008) 080503] for the pure case.
We discuss a simple model for creation of entanglement in a system composed of two two-level atoms interacting with a common environment. The role of the environment in entangling and disentangling of the atoms is explored. We demonstrate how the spontaneous decay of an initial excitation of the system can create a transient entanglement between the atoms. The opposite situation is also discussed where a spontaneous disentanglement of initially entangled atoms may exhibit some unusual features such as entanglement sudden birth, the phenomenon of entanglement sudden death and revival of entanglement. We provide a discussion of these unusual phenomena in terms of the density matrix elements of the system and show the connection of the phenomena with the threshold behaviour of the concurrence.
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.