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Journal of Physics B Atomic Molecular and Optical Physics

Enhanced entanglement by collective interactions of three-level atoms in a cavity

Huatang Tan, Gao‐xiang Li, Guangming Huang

Published May 6, 2008• 4 citations
Publisher

Abstract

In this paper, we investigate the generation of entangled light via collectively interacting three-level cascade atoms in a two-mode cavity. It is found that the atomic collectivity can effectively increase the strength of the frequency down-conversion process in the system and lead to the significant enhancement of the entanglement between the two cavity modes, in comparison to the case of independent atoms.

DOI
10.1088/0953-4075/41/10/105501

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In this paper, we investigate the generation of entangled light via collectively interacting three-level cascade atoms in a two-mode cavity. It is found that the atomic collectivity can effectively increase the strength of the frequency down-conversion process in the system and lead to the significant enhancement of the entanglement between the two cavity modes, in comparison to the case of independent atoms.
The entanglement properties of two-mode field from a laser-driven collective three-level atomic system are investigated by taking into account the spontaneously generated coherence. Under some conditions, it is found that the entanglement between the two cavity modes can be significantly enhanced by the collectivity of the atoms compared to the case of independent atoms when the relative phase $\ensuremath{\Delta}\ensuremath{\varphi}=\ensuremath{\pi}$. Moreover, the spontaneously generated coherence can also greatly enhance the entanglement in comparison to the case without this coherence.
We investigate the generation of a strongly entangled electromagnetic field through laser pumping a collection of NNN two-level atoms in a two-mode optical resonator. The vacuum-multiparticle interactions enhance the coupling of the atomic sample to the cavity modes facilitating the creation of entangled photons at higher frequencies. In the dispersive atom-cavity limit, one can obtain a steady-state output field consisting of tens of such photons per mode.
We study a nondegenerate three-level cascade laser coupled to a two-mode vacuum reservoir, by employing the stochastic differential equations associated with the normal ordering. The amplification of the properties of squeezing and entanglement of the cavity light is investigated. We have found that there is an entanglement between the states of the light generated in the cavity, due to the strong correlation of the light emitted, when the atom decays from the top level to the bottom level via the intermediate one. We have also obtained that the two cavity modes are strongly entangled, and the degree of entanglement is directly related to the two-mode squeezing.
The quantum properties of a nondegenerate three-level cascade laser coupled to a two-mode vacuum reservoir are throughly analyzed with the use of the pertinent master equation and stochastic differential equations associated with the normal ordering. Particularly, the enhancement of squeezing and the amplification of photon entanglement of the two-mode cavity light are investigated. It is found that the two cavity modes are strongly entangled, and the degree of entanglement is directly related to the two-mode squeezing. Moreover, the squeezing and entanglement of the cavity radiation enhance with the rate of atomic injection.
The generation and evolution of entanglement and squeezing for the two-mode fields are discussed in a cascade three-level atomic system. Two photons of a strong external pump field induce atomic coherence between the top and bottom levels. The dynamics of this system in the presence of cavity losses is studied. It is shown that entanglement and squeezing between the two modes increase initially, then decrease and eventually disappear. The periods of them are extended with the increasing of the pump field intensity. The effects of the cavity losses on squeezing and entanglement are also discussed.