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Science Technology and Engineering

Entanglement Sudden Death of Atoms in Separated Loss Cavities

Zeng Xiao-xiang

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

Entanglement time evolution of two atoms separately placed is examined in two loss cavities prepared in coherent states in the dispersive interaction limit.Disentanglement may take place in finite time even though coherence of the atomic subsystem never decays to zero.

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We investigate the entanglement dynamics and coherence of two two-level atoms interacting with two coherent fields of two spatially separated and dissipative cavities. It is in particular shown that entanglement sudden death is obtained within a short interaction time. However, after a long interaction time a long-lived entanglement is shown; that is, the initial entanglement of two atoms could be partially preserved. In addition, the coherence of the two atoms will not be lost during the evolution.
Based on the exactly analytic solution obtained of the intensity-dependent Jaynes–Cummings model for a certain class of initial entangled mixed states, we explore the time evolution of the entanglement between two atoms, initially non-locally correlated and separately interacting with two distinct cavities. The results show that entanglement sudden death is dependent on the different initial states of atoms, and the length of the time interval for the zero entanglement is invariant for a certain class of initial mixed states.
We consider two two-level atoms, which are located in two independent dissipative cavities. The two atoms are initially prepared in the singlet state. We investigate the influence of dissipation on the entanglement between the two atoms. In the case of resonance the degree of the entanglement can fall abruptly to zero, which is the so-called sudden death of entanglement. It is noted that when two atoms are in a common environment, the singlet state is a decoherence-free state. When the dispersive limit is fulfilled, the degree of entanglement between the two atoms is oscillating at first, then it arrives at a steady value, which increases with the increase of the damping constant κ; when both fields are initially in the vacuum state, the entanglement between the two atoms will not decay.
Entanglement is a fundamental concept in quantum mechanics. In this review, we study various aspects of coherence and entanglement, illustrated by several examples. We relate the concepts of loss of coherence and disentanglement, via a model of two two-level atoms in different types of reservoir, including cases of both independent and common baths. Finally, we relate decoherence and disentanglement, by focusing on the sudden death of the entanglement and the dependence of the death time with the distance of our initial condition from the decoherence-free subspace. In particular, we study the sudden death of the entanglement in a two-atom system with a common reservoir.
The Jaynes–Cummings model extended by the inclusion of mode structure and atomic motion is an elementary model that describes the interaction between a single atom and electromagnetic pulse. Based on the model, we explore the time evolution of the entanglement between two atoms, initially non-locally correlated and crossing separately two distinct cavities. Our results show that this model suggests a strategy to fight against the so-called entanglement sudden death, and in the situation resurrection of the original entanglement value occurs periodically and the entanglement will remain at the original value for a finite duration.