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Physica A Statistical Mechanics and its Applications

The behavior of the two-level entangled atom in an optical field

Zhuo‐Liang Cao, Ting Huang, Guang‐Can Guo

Published Jul 1, 2002• 0 citations
Publisher
DOI
10.1016/s0378-4371(02)00784-7

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arXiv:1409.1475•Physical Review A•Sep 30, 2014•12 citations
The behavior of a two-level entangled atom in an optical field with circular polarization is studied in this paper. The interaction of an optical field and one of the entangled atoms is analyzed in detail. A general solution of the SchrAo¨Gdinger equation about the motion of the entangled atom is obtained. The properties of the action are dependent on the initial state of the atom. By detecting the entangled atom out of the field, we can obtain the state of the other atom moving in the field. It is shown that the state of the atom out of the field will influence the energies of the split-levels of the atom in the field.
In this study, we theoretically investigate a system composed of two isolated two-level atoms, each confined within an independent single-mode optical cavity. The cavities are coherently coupled via an optical fiber, enabling photon-mediated interaction between the two subsystems. Each cavity sustains a single-mode quantized electromagnetic field, and each atom couples exclusively to the field within its respective cavity. We analyze the time dependent entanglement dynamics, exploring both atom-atom and cavity-field bipartite entanglement under this hybrid interaction framework. To quantify entanglement, we employ concurrence as the measurement metric. The effects of the atoms' initial states and the optical fiber’s coupling strength on both atom-atom and field-field entanglement are analyzed. Numerical results reveal that when the coupling strength of the optical fiber is close to zero, no entanglement is observed between either the atoms or the fields. However, as the fiber coupling strength increases, entanglement emerges and exhibits collapse and revival behavior over time.
Quantum correlations between two neighboring atoms are studied. It is assumed that one atomic system comprises a single auto-ionizing level and the other atom does not contain any auto-ionizing level. The excitation of both atoms is achieved by the interaction with the same mode of the quantized field. It is shown that the long-time behavior of two atoms exhibits quantum correlations even when the atoms do not interact directly. This can be shown using the optical excitation of the neighboring atom. Also a measure of entanglement of two atoms can be applied after reduction of the continuum to two levels.